All Questions

0

1

0

+1101

help with algebra

Evaluate $a^3 - \dfrac{1}{a^3}$ if $a - \dfrac{1}{a} = 0$.

parmen 9 hours ago

0

1

0

+1101

help algebra

Let $a_1,$ $a_2,$ $a_3,$ $\dots$ be a sequence. If
\[a_n = a_{n - 1} + a_{n - 2}\]
for all $n \ge 3,$ and $a_{11} = 1$ and $a_{10} = 4,$ then find $a_6.$

parmen 9 hours ago

0

1

0

+1101

help algebra

Let $a$ and $b$ be complex numbers. If $a + b = 1$ and $a^2 + b^2 = 2,$ then what is $a^3 + b^3?$

parmen 9 hours ago

0

1

+1101

help algebra

Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.

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parmen 9 hours ago

0

1

0

+20

Four points form the vertices of a square. Find the area of the square if the points are (2,b), (0,a), (5,c), and (7,d).

RedDragon1 Apr 26, 2024, 12:48 AM

0

2

1

+785

Algebra

Find the vertex of the graph of the equation y = -2x^2 + 8x - 15 - 3x^2 - 14x + 25.

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ABJeIIy Apr 26, 2024, 12:34 AM

0

1

0

+785

Algebra

The parabola y = ax^2 + bx + c is graphed below. Find a + b + c. (The grid lines are one unit apart.)
The parabola passes through (-2,8), (0,0), and (2,8).

ABJeIIy Apr 26, 2024, 12:34 AM

0

1

0

+785

Algebra

Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

ABJeIIy Apr 26, 2024, 12:33 AM

0

1

0

+785

Algebra

Find all real values of $p$ such that
(x+1)(x-2p)
has a minimum value of 0 over all real values of $x$.

ABJeIIy Apr 26, 2024, 12:33 AM

0

1

0

+785

help Algebra

Let $c$ be a real number. What is the maximum value of $c$ such that the graph of the parabola $y = -6x^2$ has at most one point of intersection with the line $y = 5x+c?$

ABJeIIy Apr 25, 2024, 11:44 PM

0

1

+785

Algebra

Let $x$ and $y$ be real numbers. If $x^2 + 3y^2 = 18$, then find the maximum value of $x + y$.

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ABJeIIy Apr 25, 2024, 11:27 PM

0

1

0

+785

Algebra

Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$

ABJeIIy Apr 25, 2024, 11:27 PM

0

1

+12

Geometry

Can you solve these?
1.

2.
<#> 3.<#> read more ..

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wendigo Apr 25, 2024, 11:12 PM

0

1

+679

help with functions

Find the domain of the function $f(x) = \sqrt{6-x-x^2-2x^2}$.

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LiIIiam0216 Apr 25, 2024, 9:23:38 PM

0

1

+679

Algebra problem

Find the sum of all values of $k$ for which $x^2 + kx - 9x + 25 - 9$ is the square of a binomial.

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LiIIiam0216 Apr 25, 2024, 6:32:52 PM

0

1

0

+679

help algebra

Find the largest real number $c$ such that $1$ is in the range of $f(x)=x^2-5x+c-3x+8$.

LiIIiam0216 Apr 25, 2024, 4:57:04 PM

0

1

0

+679

help with algebra

For what values of $j$ does the equation $(2x + 7)(x - 4) = -31 + jx$ have exactly one real solution? Express your answer as a list of numbers, separated by commas.

LiIIiam0216 Apr 25, 2024, 4:19:46 PM

0

1

0

+679

help need help

Find the value of $v$ such that $\frac{-21-\sqrt{201}}{10}$ a root of $5x^2+21x+v = 0$.

LiIIiam0216 Apr 25, 2024, 4:19:33 PM

0

1

0

+124

HELP

The roots of the quadratic equation are and . What is ?

Lilliam0216 Apr 25, 2024, 4:05:42 PM

0

1

0

+116

Sums

How many unique sums can be formed by adding any three different numbers from the set {4,6,8,10,12,...,154}?

Pythagorearn Apr 25, 2024, 3:32:59 PM

0

1

0

+679

help help

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:
2ab - 12a + 3a + 3b - 8b - ab + ___

LiIIiam0216 Apr 25, 2024, 3:27:28 PM

0

1

0

+679

help me

Simplify \frac{4}{1 - \sqrt[3]{3}} + \sqrt[3]{9}.

LiIIiam0216 Apr 25, 2024, 3:23:00 PM

0

1

0

+679

need help

Simplify \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}.

LiIIiam0216 Apr 25, 2024, 3:22:47 PM

0

1

0

+124

pls help

Find all ordered pairs x, y of real numbers such that x+y=10 and x^2+y^2=64.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).

Lilliam0216 Apr 25, 2024, 3:12:22 PM

0

1

0

+679

Algebra

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $3$ hours and $20$ minutes, but when there is a wind blowing from Penthaven to Jackson at $70$ miles per hour, the trip takes $3$ hours read more ..

LiIIiam0216 Apr 25, 2024, 3:10:31 PM

0

1

0

+679

help help

In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire. read more ..

LiIIiam0216 Apr 25, 2024, 2:29:39 PM

0

1

0

+679

help me

All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?

LiIIiam0216 Apr 25, 2024

0

1

0

+679

need help

All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?

LiIIiam0216 Apr 25, 2024

0

1

0

+124

IDK WHAT TO DO

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

Lilliam0216 Apr 25, 2024

0

1

+785

Algebra

Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 20x^2 + 45 = 0
has no real solutions.

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ABJeIIy Apr 25, 2024

0

1

+785

Algebra

Find the discriminant of the quadratic 5x^2 - 2x + 8 - 2x^2 + 6x + 2 - 2x^2 + 4x - 1.

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ABJeIIy Apr 25, 2024

0

1

0

+785

Algebra

The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2). What is A+B?

ABJeIIy Apr 25, 2024

0

1

0

+785

Algebra

Find all the solutions to
\frac{x+4}{x+5} = \frac{x-3}{2} + \frac{x + 7}{5}

ABJeIIy Apr 24, 2024

0

1

0

+785

Algebra

The solutions to
2x^2 - 10x + 13 = -6x^2 - 18x - 15
are a+bi and a-bi, where a and b are positive. What is a\cdot b?

ABJeIIy Apr 24, 2024

0

1

+785

Algebra

The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?

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ABJeIIy Apr 24, 2024

0

1

0

+785

Algebra

Find the sum of the squares of the roots of $2x^2+4x-1=x^2-8x+3$.

ABJeIIy Apr 24, 2024

0

1

0

+785

Algebra

Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

ABJeIIy Apr 24, 2024

0

1

0

+785

Algebra

If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?

ABJeIIy Apr 24, 2024

0

1

0

+182

Algebra

Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6,$ then what is $a^3 + b^3?$

ABJelly Apr 24, 2024

0

1

0

+1791

coordinates

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

tomtom Apr 24, 2024

0

1

0

+1791

coordinates

Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.

tomtom Apr 24, 2024

0

1

0

+1791

Coordinates

Two circles intersect at two points, $P$ and $Q$. The equations of the two circles are $x^2 + (y - 1)^2 = 1$ and $(x - 1)^2 + y^2 = 1$. Find the length PQ.

tomtom Apr 24, 2024

0

1

0

+1791

coordinates

Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
The line is y = x + 3, and A = (7,1).

tomtom Apr 24, 2024

0

1

+1791

help with coordinates

The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.

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tomtom Apr 24, 2024

0

1

0

+116

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

Pythagorearn Apr 24, 2024

0

1

+124

pls help

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

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Lilliam0216 Apr 24, 2024

0

1

0

+116

Geometry

Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.

Pythagorearn Apr 24, 2024

0

1

+679

need help

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?

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LiIIiam0216 Apr 24, 2024

0

1

+116

Geometry

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

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Pythagorearn Apr 24, 2024

0

1

0

+116

Geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

Pythagorearn Apr 24, 2024

0

1

0

+4

HELP ME PLS

a.Given the polynomial function y = 1/5x⁵ + 1/4x⁴ - 7/3x³ - 1/2x² + 6x
a. Use the definition of derivative to differentiate y = 1/5x⁵ + 1/4x⁴ - 7/3x³ - 1/2x² + 6x
b. Find the points on the graph where the tangent line is horizontal read more ..

aoas123 Apr 24, 2024

0

2

0

+116

Geometry

Let $APQRS$ be a pyramid, where the base $PQRS$ is a square. The total surface area of pyramid $APQRS$ (including the base) is $800$. Let $W$, $X$, $Y$, and $Z$ be the midpoints of $\overline{AP}$, $\overline{AQ}$, $\overline{AR}$, and $\overline{AS}$, read more ..

Pythagorearn Apr 23, 2024

0

1

+11

PLEASE HELP

I could use the help

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justtryinpass Apr 23, 2024

0

1

0

+116

Geometry

Let $ABCD$ be a regular tetrahedron. Let $E$, $F$, $G,$ $H$ be the centers of faces $BCD$, $ACD$, $ABD$, $ABC$, respectively. The volume of pyramid $DEFG$ is $18.$ Find the volume of pyramid $EFGH$

Pythagorearn Apr 23, 2024

0

1

+116

Geometry

Let $ABCDEFGH$ be a rectangular prism. Find the volume of pyramid $CFAH$.

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Pythagorearn Apr 23, 2024

0

1

0

+679

help plz

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

LiIIiam0216 Apr 23, 2024

0

1

0

+679

help counting

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers ($1,$ $2,$ $3,$ $4,$ $5,$ $6,$ and $7$). Among all the cards of each color, there is exactly one card labeled with each number. read more ..

LiIIiam0216 Apr 23, 2024

0

1

+679

help help

The six faces of a cube are painted black. The cube is then cut into $3^3$ smaller cubes, all the same size.
(a) How many of the smaller cubes have exactly one black face?
(b) How many of the smaller cubes do not have any read more ..

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LiIIiam0216 Apr 23, 2024

0

2

1

+679

need help quick

Sam writes down the numbers $1,$ $2,$ $\dots,$ $315,$ $316,$ $317,$ $\dots,$ $248,$ $249,$ $250.$
(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down at random. What is the probability read more ..

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LiIIiam0216 Apr 23, 2024

0

1

0

+466

help geo

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

booboo44 Apr 23, 2024

0

2

0

+466

help plz

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 60^\circ$ and $\angle STU = 45^\circ$, read more ..

booboo44 Apr 23, 2024

0

1

+910

Geometry

Let $O$ be the origin. Points $P$ and $Q$ lie in the first quadrant. The slope of line segment $\overline{OP}$ is $4,$ and the slope of line segment $\overline{OQ}$ is $5.$ If $OP = OQ,$ then compute the slope of line segment $\overline{PQ}.$
Note: read more ..

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Akhain1 Apr 23, 2024

0

2

1

+910

Geometry

Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.

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Akhain1 Apr 23, 2024

0

2

1

+910

Geometry

In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.

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Akhain1 Apr 23, 2024

0

1

0

+679

i need help

Find the constant term in the expansion of (2z - 1/sqrt(z))*5*(z - 1/sqrt(z))^3.

LiIIiam0216 Apr 23, 2024

0

1

+124

All the other answers are wrong :(

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

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Lilliam0216 Apr 23, 2024

+1

1

+910

Geometry

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

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Akhain1 Apr 23, 2024

0

1

+679

need help

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

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LiIIiam0216 Apr 23, 2024

0

2

0

+910

Geometry

Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle PBA$, and $\angle ABC - \angle ACB = 24^\circ$. Find $\angle PBC$ in degrees.

Akhain1 Apr 23, 2024

0

1

0

+679

need help

Find the coefficient of u^2*v^9 in (2u - 3*v^3)*5*(3u^3 - 2v^5)^3.

LiIIiam0216 Apr 23, 2024

0

1

+124

pls help

Franklin the fly starts at the point (0, 0) in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After 12 steps, how many different points could Franklin end up at?

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Lilliam0216 Apr 23, 2024

0

1

0

+679

help me

Expand (x^2 + 1/x)*(x + x^4)^3.

LiIIiam0216 Apr 23, 2024

0

1

+124

Rlly confusing

Find the number of ways of choosing three circles below, so that no two circles are next to each other.
There are 12 circles, in the shape of a circle.
[asy]
unitsize(1 cm);
int i;
for (i = 0; i <= 11; ++i) {
draw(Circle(2*dir(360/12*i),0.3));<#> read more ..

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Lilliam0216 Apr 23, 2024

0

3

0

+4

stat help

You may need to use the appropriate technology to answer this question.
The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, read more ..

loook Apr 23, 2024

0

1

+785

Quadratic

For an integer n, the inequality
x^2 + nx + 15 < -89 - 3x^2
has no real solutions in $x$. Find the number of different possible values of $n$.

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ABJeIIy Apr 23, 2024

0

1

+785

help plz

Find the coordinates of the center of the circle.

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ABJeIIy Apr 23, 2024

0

2

1

+785

Parabola

The parabola $y = ax^2 + bx + c$ is graphed below. Find $a \cdot b \cdot c.$ (The grid lines are one unit apart.) read more ..

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ABJeIIy Apr 23, 2024

0

2

1

+785

need help

The graph of $y = ax^2 + bx + c$ has an axis of symmetry of $x = 2.$ If $(4,7)$ lies on the graph, find another point on the graph.

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ABJeIIy Apr 23, 2024

+1

2

3

+16

pls help me

Find the area of the region enclosed by the graph of x^2+y^2=2x-6y+6+4x-4y+12

●●●

gaberiellz Apr 23, 2024

0

2

1

+116

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$

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Pythagorearn Apr 23, 2024

0

2

1

+116

Geometry

In the diagram below, SR = PQ = 20 and RT:TS = 2:5. Find UV.

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Pythagorearn Apr 23, 2024

0

1

+116

Geometry

Trapezoid $ABCD$ is inscribed in the semicircle with diameter $\overline{AB}$, as shown below. Find the radius of the semicircle. Find the area of ABCD.
PQDC is a square. read more ..

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Pythagorearn Apr 22, 2024

0

2

0

+116

Geometry

Points $L$ and $M$ lie on a circle $\omega_1$ centered at $O$. The circle $\omega_2$ passing through points $O,$ $L,$ and $M$ is drawn. If the measure of arc $LM$ in circle $\omega_1$ is $90^\circ,$ and the radius of $\omega_1$ is 1, then find read more ..

Pythagorearn Apr 22, 2024

0

2

1

+14

pre-calc question- please help

Convert the function into rectangular form. Show all work for credit.

●

FireflySky Apr 22, 2024

0

1

0

+116

Geometry

Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.

Pythagorearn Apr 22, 2024

0

2

1

+116

Geometry

The diagram below consists of a small square, four equilateral triangles, and a large square. Find the area of the large square.

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Pythagorearn Apr 22, 2024

+1

1

+116

Geometry

A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle? read more ..

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Pythagorearn Apr 22, 2024

0

1

0

+785

Algebra

Fill in the blanks to make a true equation:
1/(n(n + 3)(n + 5)) = __/n + ___/(n + 3) + ___/(n + 5)

ABJeIIy Apr 22, 2024

0

2

0

+785

Algebra

Compute
\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 12}

ABJeIIy Apr 22, 2024

0

1

0

+785

Algebra

Compute
1 + \frac{3}{6} + \frac{5}{6^2}

ABJeIIy Apr 22, 2024

0

2

0

+116

Geometry

Find the area of triangle $ABC$ if $AB = 6,$ $BC = 8,$ and $\angle ACB = 30^\circ$.

Pythagorearn Apr 22, 2024

0

1

0

+116

geometry

In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 5,$ and $CX = 5$. What is $BX$?

Pythagorearn Apr 22, 2024

0

3

1

+116

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BZ$.

●

Pythagorearn Apr 22, 2024

0

2

1

+116

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 14$, $AY = 14$, and $CY = 8$, find $BC$.

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Pythagorearn Apr 22, 2024

0

2

1

+116

Geometry

Find the circumradius of triangle ABC.

●

Pythagorearn Apr 22, 2024

0

2

1

+116

Geometry

Find the inradius of triangle ABC.

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Pythagorearn Apr 22, 2024

0

2

0

+116

Geometry

Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting read more ..

Pythagorearn Apr 22, 2024

0

2

1

+116

Geometry

In triangle $ABC$, $AB = 7$, $AC = 17$, and the length of median $AM$ is $12$. Find the area of triangle $ABC$.

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Pythagorearn Apr 22, 2024

0

1

0

+116

Geometry

In triangle $ABC$, $AB = 10$ and $AC = 15$. Let $D$ be the foot of the perpendicular from $A$ to $BC$. If $BD:CD = 1:3$, then find $AD$.

Pythagorearn Apr 22, 2024

0

1

0

+116

Geometry

We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

Pythagorearn Apr 22, 2024

-1

1

2

+116

Geometry

Two tangents $\overline{PA}$ and $\overline{PB}$ are drawn to a circle, where $P$ lies outside the circle, and $A$ and $B$ lie on the circle. The length of $\overline{AB}$ is $4,$ and the circle has a radius of $5.$ Find the length $AB.$ read more ..

●●

Pythagorearn Apr 22, 2024

0

2

0

+116

Geometry

Lines $XQ$ and $XR$ are tangent to a circle, as shown below. If $\angle XTU = 47^\circ$ and $\angle QAU = 65^\circ,$ then find $\angle QXR,$ in degrees.

Pythagorearn Apr 22, 2024

0

2

0

+116

Geometry

A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point $P$ on the edge of the table (as shown below) has a distance of6 from one wall, and a distance of 6 from the other wall. Find the radius of read more ..

Pythagorearn Apr 22, 2024

0

2

0

+116

Geometry

The tangent to the circumcircle of triangle $WXY$ at $X$ is drawn, and the line through $W$ that is parallel to this tangent intersects $\overline{XY}$ at $Z.$ If $XY = 10$ and $WX = 8,$ find $YZ.$

Pythagorearn Apr 22, 2024

0

2

+4

Geometry (Inradius and Incircles)

1) I is the incenter of triangle ABC. If angle ABC = 78^\circ$ and angle ACB = 47^\circ,$ find angle BID, in degrees.

2) Find angle read more ..

●●

Pythagoream Apr 21, 2024

0

1

0

+910

Geometry

In trapezoid EFGH, \overline{EF} \parallel \overline{GH}, and P is the point on \overline{EH} such that EP:PH = 1:2. If the area of triangle PEF is 6, and the area of triangle PGH is 6, then find the area of trapezoid EFGH.

Akhain1 Apr 21, 2024

0

2

0

+910

Geometry

Quadrilateral ABCD is a parallelogram. Let E be a point on \overline{AB}, and let F be the intersection of lines DE and BC. The area of triangle EBF is 1, and the area of triangle BCE is 2. Find the area of parallelogram ABCD.

Akhain1 Apr 21, 2024

-1

1

+910

Geometry

In trapezoid ABCD, \overline{AB} \parallel \overline{CD}. Find the area of the trapezoid.

●

Akhain1 Apr 21, 2024

0

2

0

+910

Geometry

In trapezoid PQRS, \overline{PQ} \parallel \overline{RS}. Let X be the intersection of diagonals \overline{PR} and \overline{QS}. The area of triangle PRS is 27, and the area of triangle PQR is 75. Find the area of trapezoid PQRS read more ..

Akhain1 Apr 21, 2024

0

1

0

+910

Geometry

In parallelogram EFGH, let M be the point on \overline{EF} such that FM:ME = 2:1, and let N be the point on \overline{EH} such that HN:NE = 3:8. Line segments \overline{FH} and \overline{GM} intersect at P, and line segments \overline{FH} and \overline{GN} read more ..

Akhain1 Apr 21, 2024

0

1

0

+910

Geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $AMC$ if $[ABC] = 14$. read more ..

Akhain1 Apr 21, 2024

0

1

0

+910

Geometry

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

Akhain1 Apr 21, 2024

0

2

0

+910

Geometry

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 60^\circ$ and $\angle STU = 45^\circ$, read more ..

Akhain1 Apr 21, 2024

0

1

+910

help geometry

Altitudes AD and BE of acute triangle ABC intersect at point H. If angle ABH = 30 and angle DAC = 45, then what is angle HCA in degrees? read more ..

hasAquestion ●

Akhain1 Apr 21, 2024

0

2

1

+383

Counting

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all the freshmen are standing together?

●

magenta Apr 21, 2024

0

1

0

+383

Counting

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if there must be a mathematics textbook exactly in the middle, and all the psychology textbooks are read more ..

magenta Apr 21, 2024

0

1

0

+383

Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if read more ..

magenta Apr 21, 2024

0

1

0

+383

Counting

At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if each scientist must sit next to a mathematician? (Two seatings are considered equivalent read more ..

magenta Apr 21, 2024

0

1

+1032

Algebra

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___

●

kittykat Apr 21, 2024

0

1

+1032

Algebra

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$

●

kittykat Apr 21, 2024

0

1

+1032

Algebra

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.

●

kittykat Apr 21, 2024

0

2

0

+1101

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{PQ}.$ Let $X$ be the point on $\overline{QR}$ such that $\overline{PX}$ bisects $\angle QPR,$ and let the perpendicular bisector of $\overline{PQ}$ intersect $\overline{PX}$ at $Y.$ If $PQ = 36, find read more ..

parmen Apr 21, 2024

0

2

0

+1101

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BC$.

parmen Apr 21, 2024

0

2

0

+1101

Geometry

In triangle $ABC,$ let the angle bisectors be $\overline{BY}$ and $\overline{CZ}$. Given $AB = 12$, $AY = 12$, and $AC = 12$, find $BZ$.

parmen Apr 21, 2024

+1

1

+5

probability help

A history class is comprised of 9 female and 5 male students. If the instructor of the class randomly chooses 6 students from the class for an oral exam, what is the probability that 4 female students and 2 male students will be selected? Round your answer read more ..

●

hawtkitty84 Apr 21, 2024

0

2

0

+1101

Geometry

Angle bisectors $\overline{AX}$ and $\overline{BY}$ of triangle $ABC$ meet at point $I$. Find $\angle C,$ in degrees.

parmen Apr 21, 2024

0

1

0

+1101

Geometry

As shown in the diagram $\angle BAC=90^\circ$. Let $X$ be the foot of the altitude from $A$ to $\overline {BC}$, $\overline{AY}$ be the bisector of $\angle BAC$, and $\overline{AZ}$ be the median of $\triangle ABC$. If $\angle BAY = 16^\circ$, then read more ..

parmen Apr 21, 2024

0

1

0

+1101

Geometry

In quadrilateral $PQRS$, $PQ = QR = RS = SP$, $PR = \sqrt{2}$, and $QS = \sqrt{2}$. Find the perimeter of $PQRS$.

parmen Apr 21, 2024

0

1

+1101

Geometry

In a rhombus, all the side lengths are $12,$ and one of the angles is equal to $90^\circ.$ Find the area of the rhombus.

●

parmen Apr 21, 2024

0

2

1

+1101

Geometry

The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.

●

parmen Apr 21, 2024

0

1

+1101

Geometry

Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.

●

parmen Apr 21, 2024

0

2

0

+1101

Geometry

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

parmen Apr 21, 2024

0

1

0

+1101

Geometry

Two rectangles overlap, as shown below. Find the area of the overlapping region (which is shaded) if $AB = BE = 3$ and $FB = BC = 3.$

parmen Apr 21, 2024

0

1

+124

This is rlly hard, PLS HELP

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

●

Lilliam0216 Apr 20, 2024

0

1

+124

HELP

Find the number of positive integers that satisfy both the following conditions:
Each digit is a 1 or a 3
The sum of the digits is 12

●

Lilliam0216 Apr 20, 2024

0

2

1

+124

PLS HELP

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may not sit next to each other in the same row?

●

Lilliam0216 Apr 20, 2024

0

2

1

+124

HELP

In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?

●

Lilliam0216 Apr 20, 2024

0

1

0

+785

Counting

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all the freshmen are standing together?

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if there must be a mathematics textbook exactly in the middle, and all the psychology textbooks are read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if each scientist must sit next to a mathematician? (Two seatings are considered equivalent read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

South High School offers only Chinese and Spanish. There are $5$ more students in Chinese than in Spanish, and every student takes at least one language. If there are a total of $12$ students in South High School, and $15$ students take only read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

At my office, $4$ people own cats, $2$ people own dogs, and $5$ people own both cats and dogs. How many people own a cat or a dog?
(Remember that in mathematics, the word "or" is used in the inclusive sense. So if you own read more ..

ABJeIIy Apr 20, 2024

0

1

0

+785

Counting

Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)

ABJeIIy Apr 20, 2024

0

1

+785

Counting

Find the coefficient of y^4 in the expansion of (2y - 5 + y - 6)^4.

●

ABJeIIy Apr 20, 2024

0

2

+4

Geometry Help PLZ

A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point on the edge of the table (as shown below) has a distance of from one wall, and a distance of from the other wall. Find read more ..

●●

jackg Apr 20, 2024

0

1

0

+1032

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

kittykat Apr 20, 2024

0

1

0

+1032

Geometry

In parallelogram $EFGH,$ let $M$ be the point on $\overline{EF}$ such that $FM:ME = 3:5,$ and let $N$ be the point on $\overline{EH}$ such that $HN:NE = 2:5.$ Line segments $\overline{FH}$ and GN intersect at Q. Find PQ/FH.

kittykat Apr 20, 2024

0

1

0

+1032

Geometry

The area of a trapezoid is $80$. The length of one base is $4$ units greater than the other base, and the height of the trapezoid is $12$. Find the perimeter of the trapezoid.

kittykat Apr 20, 2024

0

1

+1032

Geometry

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

●

kittykat Apr 20, 2024

0

1

0

+1484

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

bader Apr 19, 2024

0

1

+1484

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

●

bader Apr 19, 2024

0

1

+30

Geometry Help Needed!

Quadrilateral ABCD is a parallelogram. Let E be a point on line AB, and let F be the intersection of lines DE and BC. The area of triangle EBF is 4, and the area of triangle EAD is 9. Find the area of parallelogram read more ..

●

Ranger897 Apr 19, 2024

0

1

+30

Help Needed: Geometry!

In parallelogram EFGH, let M be the point on line EF such that FM : ME = 1:2, and let N be the point on line EH such that HN : NE = 1:3. Line segments line FH and line GM intersect at P, and line segments line read more ..

●

Ranger897 Apr 19, 2024

0

2

+30

HELP NEEDED PLEASE :')

Quadrilateral ABCD is a parallelogram. Let E be a point on line AB and let F be the intersection of lines DE and BC. The area of triangle EBF is 4, and the area of triangle EAD is 9. Find the area of parallelogram read more ..

●●

Ranger897 Apr 19, 2024

+1

2

1

+1484

Algebra

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

●

bader Apr 19, 2024

0

1

0

+1484

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

bader Apr 19, 2024

0

1

+1484

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

●

bader Apr 19, 2024

0

1

0

+1484

Algebra

In Linguistics $101,$ the ratio of the number of juniors to the number of seniors is $3:2$. When twelve more juniors join the class, and one senior drops the class, the ratio of the number of juniors to the number of seniors becomes $2:1$. How read more ..

bader Apr 19, 2024

0

1

+38

Please help! Thank you

Babette is thinking of a monic quadratic polynomial with real coefficients. She tells you that when she squares the roots of her quadratic, to form another monic quadratic with those squares as its roots, surprisingly, it is the same as the original. How read more ..

●

greenplanet2050 Apr 19, 2024

0

2

+38

Please Help! Geometry

The vertices of a triangle are the points of intersection of the line y=-x-1, the line x=2, and the line y=2. Find the center of the circle passing through all three vertices. Enter the coordinates as an ordered pair.

●●

greenplanet2050 Apr 19, 2024

0

1

0

+1484

Algebra

Find the ordered triple $(p,q,r)$ that satisfies the following system:
p - 2q &= 3 - 4p + 7q, \\
q - 2r &= -2 - 5q, \\
p + r &= 9 + 10q.

bader Apr 19, 2024

0

2

1

+1484

Algebra

A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, white marbles is $4:1:2:3$. If the bag contains $20$ marbles, then how many blue marbles are there?

●

bader Apr 19, 2024

0

2

0

+1484

Algebra

Real numbers a and b satisfy
a + ab^2 = 250ab + ab^3
a - ab^2 = 240ab - 50b^2
Enter all possible values of a, separated by commas.

bader Apr 19, 2024

0

2

0

+1484

Algebra

Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.

bader Apr 19, 2024

0

2

0

+1484

Algebra

Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}

bader Apr 19, 2024

0

2

0

+1484

Algebra

Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?

bader Apr 19, 2024

0

1

0

+1484

Algebra

Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}

bader Apr 19, 2024

0

1

0

+785

Geometry

In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below. If $\angle EFH = 30^\circ$ and $\angle MHX = 60^\circ,$ then find $\angle XHG,$ in degrees.

ABJeIIy Apr 19, 2024

0

1

0

+785

Geometry

Let P_1 P_2 P_3 \dotsb P_{10} be a regular polygon inscribed in a circle with radius $1.$ Compute
P_1 P_2 + P_2 P_3 + P_3 P_4 + \dots + P_9 P_{10} + P_{10} P_1

ABJeIIy Apr 19, 2024

0

1

+16

answer pls

y=ax^2+bx+c is graphed as a parabola
The parabola is graphed below. Find a+b+c. (The grid lines are one unit apart.)
a+b+c=

●

gaberiellz Apr 19, 2024

0

2

0

+1484

Algebra

The graph of y=f(x) is shown in red below. Find f(-2).

bader Apr 19, 2024

0

2

0

+1484

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

bader Apr 19, 2024

0

1

0

+1484

Probability

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

bader Apr 19, 2024

0

2

0

+12

Geometry Problems

difficult questions!
1.

2.
<#> 3.<#> read more ..

wendigo Apr 19, 2024

0

1

0

+679

Algebra

The function $f(x,y)$ gives an ordered pair as output. It is defined according to the following rules:
* If $x > 4$, $f(x,y) = (x - 4,y)$.
* If $x \le 4$ but $y > 4$, $f(x,y) = (x,y - 4)$.
* Otherwise, $f(x,y) = (x + y + 11, read more ..

LiIIiam0216 Apr 18, 2024

0

1

0

+679

Algebra

Find all real numbers $x$ such that $f(x) = f(f(x))$, where $f(x) = x^2 - 3x + x^3 - 7x^2 + 5x.$

LiIIiam0216 Apr 18, 2024

0

2

1

+679

Algebra

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

●

LiIIiam0216 Apr 18, 2024

0

1

0

+679

Algebra

Let
f(x) = \frac{2x + 5}{x - 4} + \frac{x^2 + 1}{4x - 3}.
Find the inverse $f^{-1}(x)$.

LiIIiam0216 Apr 18, 2024

0

1

+679

Probability

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probablility that all three pieces are shorter than 2 units?

●

LiIIiam0216 Apr 18, 2024

0

2

1

+679

Geometry

In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11

●

LiIIiam0216 Apr 18, 2024

0

1

0

+679

Geometry

In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?

LiIIiam0216 Apr 18, 2024

0

1

0

+910

Geometry

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

Akhain1 Apr 18, 2024

0

2

1

+910

Geometry

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?

●

Akhain1 Apr 18, 2024

0

1

+910

Geometry

We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 8,$ $BK = 2$, and $CK = 3,$ then what is $AB$?

●

Akhain1 Apr 18, 2024

0

1

+124

PLS HELP ASAP

Find the number of ordered pairs of integers such that

●

Lilliam0216 Apr 18, 2024

0

1

+1484

Algebra

Our badminton team has finished $60\%$ of its season. So far, we have won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?

●

bader Apr 18, 2024

0

1

+1484

Counting

Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered the same if one can be rotated to form the read more ..

●

bader Apr 18, 2024

0

1

+1484

Counting

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile read more ..

●

bader Apr 18, 2024

0

1

0

+785

Counting

At a meeting, 4 mathematicians, 3 scientists, and 2 journalists are to be seated around a circular table. How many different arrangements are possible if every mathematician must sit next to a scientist? (Two seatings are considered equivalent if one read more ..

ABJeIIy Apr 18, 2024

0

1

+1484

Algebra

In Linguistics $101,$ the ratio of the number of juniors to the number of seniors is $3:2$. When $6$ more juniors join the class, and $1$ senior drops the class, the ratio of the number of juniors to the number of seniors becomes $18:7$. How read more ..

●

bader Apr 18, 2024

0

2

0

+785

Geometry

A line and a circle intersect at and as shown below. Find the distance between and .
The circle is x^2 + y^2 = 20.
The line is y = -4.

ABJeIIy Apr 18, 2024

0

2

0

+785

Geometry

In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.

ABJeIIy Apr 18, 2024

0

1

0

+785

Geometry

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

ABJeIIy Apr 18, 2024

0

1

+785

Geometry

In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.

●

ABJeIIy Apr 18, 2024

0

2

1

+785

Geometry

Points $A$, $B$, and $C$ are on a circle such that $AB = 8$, $BC = 15$, and $AC = 12$. Find the radius of the circle.

●

ABJeIIy Apr 18, 2024

0

2

1

+343

Inequality

Solve the inequality -4(x + 4) > x + 7 + 8x + 21.

●

ChiIIBill Apr 18, 2024

0

3

1

+343

Inequality

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $500$ pounds more than each of her trucks, but no more than $\frac{1}{4}$ of the total load her four trucks combined can carry. read more ..

●

ChiIIBill Apr 18, 2024

0

2

1

+343

Inequality

Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.

●

ChiIIBill Apr 18, 2024

0

1

2

+6

Hard Math geometry problem

Points A,B and C are given in the coordinate plane. There exists a point Q and a constant k such that for any point P ,
If ,and , then find the constant K.
This is hard but please give me an answer read more ..

●●

TX4181941 Apr 18, 2024

+1

1

0

+1484

Algebra

Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $7$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $2$ times as much money as read more ..

bader Apr 18, 2024

0

1

+1484

Algebra

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 = 24$. What is the value of $b$ in this ordered pair?

●

bader Apr 18, 2024

0

1

0

+1484

Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{28}{9}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

bader Apr 18, 2024

0

1

+1484

Algebra

Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?

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bader Apr 18, 2024

0

2

0

+343

Algebra

Let $a$ and $b$ be the roots of the quadratic equation $2x^2 - 7x + 2 = -x^2 + 4x + 9.$ Find $\frac{1}{a-1}+\frac{1}{b-1}.$

ChiIIBill Apr 18, 2024

0

1

0

+343

Algebra

Find the largest real number $c$ such that $1$ is in the range of $f(x)=x^2-5x+c+x^2-8x$.

ChiIIBill Apr 18, 2024

0

1

0

+343

Algebra

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $8$ days earlier. If the job needs to completed $28$ days earlier, how many additional workers should be hired?

ChiIIBill Apr 18, 2024

0

1

0

+1484

Geometry

In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.

bader Apr 18, 2024

0

1

0

+1484

Geometry

In the diagram, $\overline{CX}$ bisects $\angle ACB$. Find the ratio of the area of triangle $BCX$ to the area of triangle $ACX$. Express your answer as a common fraction. read more ..

bader Apr 18, 2024

0

1

0

+1484

Geometry

In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.

bader Apr 18, 2024

0

1

0

+16

Algebra

For every integer n≥1, let P(n) denote the product of the first n odd numbers:
P(n)=1×3×5×⋯×(2n−1)
Prove that for all integers n≥1, P(n)=(2n)!/2^n×n!.

Sxchen1110 Apr 18, 2024

0

3

0

+343

Algebra

All members of our painting team paint at the same rate. If $50$ members can paint a $3600$ square foot wall in $20$ minutes, then how long would it take for $25$ members to paint a $4000$ square foot wall, in minutes?

ChiIIBill Apr 17, 2024

0

2

0

+343

Algebra

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far read more ..

ChiIIBill Apr 17, 2024