All Questions ⁺⁰234655 Questions

0

25

0

+1348

Quadratic

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

sandwich Jan 14, 2024

0

35

0

+1348

Quadratic Equations

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.

sandwich Jan 14, 2024

0

40

0

+64

Grids

My question is: In a 4x4 grid, point A is the bottom left corner and point Z is the upper right corner. How many ways are there to get from point A to point Z if you can only go up, right, or diagonally up and right?

Chandalier Jan 14, 2024

0

33

0

+1887

Find c

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

tomtom Jan 14, 2024

+1

14

2

+1887

Square of Binomial

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

tomtom Jan 14, 2024

0

24

1

+1756

Tangents

bader Jan 14, 2024

0

38

0

+1756

Tangents

Help find the value of x.

bader Jan 14, 2024

0

21

1

+1756

Tangents

If AD = 4 and AC = 8, find AB.

bader Jan 14, 2024

0

36

1

+1756

Tangents

Find length PA plz

bader Jan 14, 2024

0

30

1

+8

dilation

Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -7/5 is applied to triangle XYZ to obtain triangle X'Y'Z'. Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z' Find A/XYZ</ read more ..

uioufdiufos Jan 14, 2024

0

36

1

+8

geometry

In the diagram below, P is a point inside square ABCD. Find x.

uioufdiufos Jan 14, 2024

0

27

1

+1678

Domain

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

wiseowl Jan 14, 2024

0

28

0

+1756

coordinates

Find the area of the region enclosed by the graph of the equation $x^2-14x+3y+70=15+9y-y^2$ that lies below the line $y=x-3$.

bader Jan 14, 2024

+1

34

1

+1756

Rate problem

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?

ElectricPavlov ●

bader Jan 14, 2024

+1

25

1

+1756

Binomial

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

bader Jan 14, 2024

0

22

2

+1341

Geometry

Let $AC$ be a diameter of a circle $\omega$ of radius $1$, and let $D$ be the point on $AC$ such that $CD = \frac{1}{5}$. Let $B$ be the point on $\omega$ such that $DB$ is perpendicular to $AC$, and let $E$ be the midpoint of $DB$. Compute length $AE$ read more ..

kittykat Jan 14, 2024

0

18

1

+1341

Semicircles

Semicircles are constructed on AB, AC, and BC. Find the radius of the circle.

AB read more ..

ElectricPavlov ●

kittykat Jan 14, 2024

-1

37

1

+1323

Algebra

Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so she drains 150 mL from the beaker, adds 150 mL of water, and stirs the solution. Ruth thinks the solution is still too strong, read more ..

ElectricPavlov ●

blackpanther Jan 14, 2024

0

22

2

+1323

Quadratic

Let $a$ and $b$ be the roots of the quadratic equation $x^2-25x+80=-28x+75$. Compute $\frac{a^2}{b} + \frac{b^2}{a}$.

blackpanther Jan 14, 2024

0

11

2

+1323

Roots

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

blackpanther Jan 14, 2024

0

37

0

+1887

Counting

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

tomtom Jan 14, 2024

-1

18

2

+1887

textbooks

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, all the mathematics textbooks are together?

tomtom Jan 14, 2024

0

28

0

+1887

Counting

Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC read more ..

tomtom Jan 14, 2024

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