All Questions

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 8 hours ago

+1020

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 9 hours ago

+1020

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 9 hours ago

+1020

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 11 hours ago

+1020

Geometry

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

kittykat 11 hours ago

Apr 19, 2024

+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, 11:43 PM

+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, 11:41 PM

+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 ..

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Ranger897 Apr 19, 2024, 11:05 PM

+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 ..

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Ranger897 Apr 19, 2024, 10:56 PM

+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 ..

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Ranger897 Apr 19, 2024, 10:49 PM

+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?

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bader Apr 19, 2024, 9:59:36 PM

+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, 9:59:22 PM

+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 ..

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bader Apr 19, 2024, 7:27:06 PM

+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, 7:26:48 PM

+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 ..

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greenplanet2050 Apr 19, 2024, 6:17:35 PM

+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.

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greenplanet2050 Apr 19, 2024, 6:11:29 PM

+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, 4:50:05 PM

+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?

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bader Apr 19, 2024, 4:49:53 PM

+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, 2:19:05 PM

+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

+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

+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

+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

+655

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

+655

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

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=

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gaberiellz Apr 19, 2024

+1484

Algebra

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

bader Apr 19, 2024

+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

+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

Geometry Problems

difficult questions!
1.

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

wendigo Apr 19, 2024

Apr 18, 2024

+593

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

+593

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

+593

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 $x$.

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LiIIiam0216 Apr 18, 2024

+593

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

+593

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?

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LiIIiam0216 Apr 18, 2024

+593

Geometry

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

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LiIIiam0216 Apr 18, 2024

+593

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

+854

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

+854

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 $WXYZ$?

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Akhain1 Apr 18, 2024

+854

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 $AB$?

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Akhain1 Apr 18, 2024

+80

PLS HELP ASAP

Find the number of ordered pairs of integers such that

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Lilliam0216 Apr 18, 2024

+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?

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bader Apr 18, 2024

+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 ..

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bader Apr 18, 2024

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