All Questions

Range

The domain of the function r(x) = x/(1 - x) is (-inf,1) U (1,inf). What is the range?

Guest 20 mins ago

need help

I work on this long time. Can anyone help?

We are looking to factor 23x^2 + kx - 5 + x^2 - 3. Some values of k allow us to factor it as a product of linear binomials with integer coefficients. what are all such values of k? read more ..

Guest 42 mins ago

Precalc

Consider the following points on the graph of y=sin(x)

Say that the terminal points of angles a and b are as follows:
Terminal Point Of a = (c1,c2) read more ..

Guest 58 mins ago

Probability question

A stick is broken at two points, at random. If the length of the stick is 6, then what is the probability that all three resulting pieces are shorter than 3 units?

Guest 1 hour ago

help pls

Arrange the following numbers in increasing order (smallest first, biggest last):

A = 2*1/2*4*1/6
B = 12*128 read more ..

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Guest 1 hour ago

Tangent circles

The two circles below are externally tangent. A common external tangent intersects line PQ at R. Find QR.

Guest 2 hours ago

Nov 27, 2022

Tangents

The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects XY at Z. If XY = 15 and WX = 5, find YZ.

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Guest 4 hours ago

Probability

The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?

[There are three red cards and three blue cards]

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Guest 4 hours ago

F(x) = -2x1 + x2 + 2x3 + 1,5x4 + x5  min

F(x) = -2x1 + x2 + 2x3 + 1,5x4 + x5  min
x1 - 2x2 + 2x3 - x4 = 12
2x2 +x3 +x4 + x5 =10
2,5x1 + x2 -x3 =< 15 read more ..

Guest 4 hours ago

Rate problem

Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks read more ..

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Guest 5 hours ago

Geometry Proof

I have most of the problem down. However, what would be the reasoning for the 5th, 6th, and 12th lines?

Guest 5 hours ago

geometric series

For a real number r, let s(r) denote the set of real numbers that can be expressed in the form
a1 r + a2 r^2 + a3 r^3 + ...
with an infinite number of terms, where ai in {0,1}
(a) Show that 1/2 an element in S(1/4)
(b) Show that 1/5 read more ..

Guest 5 hours ago

Algebra question

Find all real numbers x such that
(3^x - 27)^3 + (27x - 3)^3 = (3x + 27x - 30)^3

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Guest 6 hours ago

+46

so altitude? and im just confused where to i stary

An altitude of a triangle is a line from a vertex of the triangle that is perpendicular to the line containing the other side. Suppose triangle ABC has vertices A(3, 4), B(−4,−3), and C(0,−5). Find an equation for the line that contains the altitude through read more ..

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coolkidslovemath1982 6 hours ago

help quadratic

What is the distance between the two intersections of y = x^2 and x + y = 7?

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Guest 6 hours ago

help counting

A tribe of eight villagers sits in a circle around a campfire. If the chief must sit beside his mother, how many different seating arrangements are possible? Two seating arrangements are considered the same if each individual has the same person to the read more ..

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Guest 6 hours ago

quadratic problem

I keep trying, but I can't get this.

The two solutions of the equation x^2 + bx + 18 = 0 are in the ratio of 3 to 1 for some values of b. What is the largest possible value of b?

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Guest 7 hours ago

help plz

I don't know what to do here:

Find the sum of all numbers x satisfying x + 25/x = 10 + x. Please expain carefully.

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Guest 7 hours ago

+40

'Modulo graph paper' consists of a grid of points, representing all pairs of integer residues where . To graph a

"Modulo graph paper" consists of a grid of points, representing all pairs of integer residues where
and
on modulo graph paper have some points in common. What is the sum of the -coordinates read more ..

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Imcool 7 hours ago

+46

Im confused

9. A perpendicular bisector is a line that divides a line segment into two equal parts. It also makes a right angle with the line segment. Find an equation for the perpendicular bisector of the segment between (−3, 10) and (4,−18)

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coolkidslovemath1982 8 hours ago

Algebra

(a) Find the area of the triangle bordered by the graph of 3x + 5y = 15 and the coordinate axes.
(b) Is there always a triangle formed by the graph of Ax + By = C and the coordinate axes? When the triangle exists, what is its area?

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Guest 8 hours ago

+46

i need help

The equation x a + y b = 1 is an equation for a line that gives different information than the other forms we have used.
(a) What are some points on the graph of x 3 + y 7 = 1?
(b) When might this form be useful? When might it be useless? read more ..

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coolkidslovemath1982 8 hours ago

Geometry

16. To the nearest second, what is the first time after 7 that the hand of a clock form a right angle?

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Guest 8 hours ago

+46

Find the standard form of the equation of the line through (8,−3) that is parallel to the line 3y = 4x + 8.

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coolkidslovemath1982 8 hours ago

Write the equation of the parabola that

Write the equation of the parabola that has its x-intercepts at (-2-,0) and (-2+,0) and passes through the point (-1,1)

Guest 8 hours ago

Write the equation of the parabola that

Write the equation of the parabola that has its x-intercepts at (1+,0) and (1-,0) and passes through the point (4,8)

Guest 8 hours ago

geometry

In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area read more ..

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Guest 9 hours ago

algebra

In November's Math Meet, the Little Monsters of Beast Academy solved 1/3 of the problems. In March's Math Meet, they solved 2/7 of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters read more ..

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Guest 9 hours ago

Students have given coffee packets to teachers. Suppose that Eric demands he receives an even number of coffee packets and Alan demands

Students have given coffee packets to teachers. Suppose that Eric demands he receives an even number of coffee packets and Alan demands he receives an odd amount. How many ways are there to distribute the packets?

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Guest 10 hours ago

How many digit numbers have their digits in increasing order (does not have to be strictly increasing) from left to right?

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Guest 10 hours ago

geometry

Lines XQ and XR are tangent to a circle, as shown below.
If angle QTA = 47 and angle RUA = 65 then find angle QXR in degrees.

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Guest 11 hours ago

Counting

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 10

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Guest Nov 27, 2022, 1:48:05 PM

geometry

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

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Guest Nov 27, 2022, 1:47:43 PM

help probability

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. The read more ..

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Guest Nov 27, 2022, 1:47:25 PM

+12

Umm plz help i dont get these

Srry to take up ur guys' time like this but I don't know how to do these questions and my friends don't know how to do it either so can someone please show me the thought process behind these??

1. given that cos(2theta)=5/42 --find read more ..

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fluufye Nov 27, 2022, 5:07:42 AM

Coordinates

In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-48=x^2+y^2-2x+4y-10

Guest Nov 27, 2022, 3:53:19 AM

help algebra

Find x + 1/x if 3x + 2x - 4 = 2(x + 9) - (7 - x)

Guest Nov 27, 2022, 3:33:03 AM

Functions

Given f(x) = (2x - 3)(x + 1), find the value of a such that f(3a-2) = 1.

Guest Nov 27, 2022, 3:09:15 AM

Exponents

Find all values of t such that 6^(3t - 1) = 36^t.

Guest Nov 27, 2022, 2:29:07 AM

Parabola

Find the equation whose graph is a parabola with vertex (2,4), vertical axis of symmetry, and contains the point (1,-1). Express your answer in the form "ax^2+bx+c".

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Guest Nov 27, 2022

-1

-56

The polynomial $4x^3 - 20x^2 + 19x + 15$ has a root at $x = 3$. Find the other two roots.

AOPS IS HARD

Hint = factor read more ..

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aideniscool Nov 27, 2022

Algebra

What is the constant term in the expansion of (sqrt(x) + 5x - 2)^9?

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Guest Nov 27, 2022

Circles

Chord YZ of a circle with center O has length 12. The circumference of the circle is 12*pi. Find the length of arc YZ.

Guest Nov 27, 2022

angles

The consecutive angles of a particular trapezoid form an arithmetic sequence. If the largest angle measures 140 degrees , what is the measure of the smallest angle?

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Guest Nov 27, 2022

Polynomials

When f(x) = ax^3 - 6x^2 + bx - 5 is divided by x - 1, the remainder is -5. When f(x) is divided by x + 2, the remainder is 53. Find the ordered pair (a,b).

Guest Nov 27, 2022

Polynomials

If 2x + 7 is a factor of 6x^3 + 29x^2 + cx + 35, find c.

Guest Nov 27, 2022

help probability

If I choose four cards from a standard 52-card deck, with replacement, what is the probability that I will end up with four Aces?

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Guest Nov 27, 2022

plz help

The graph of y = f(x) is shown below, with one unit between grid lines. Assume f(x) is defined only on the domain shown. What is the sum of all integers c for which the equation f(x) = c has exactly 6 solutions?

read more ..

Guest Nov 27, 2022

Algebra

For a real number x, find the number of different possible values of x + (-x).

Guest Nov 27, 2022

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