All Questions ⁺⁰234620 Questions

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8

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+556

Semicircles

Point $Y$ lies on line segment $\overline{XZ}.$ Semicircles are constructed with diameters $\overline{XY}$, $\overline{XZ}$, and $\overline{YZ}$. Find the area of the blue region.

booboo44 Jan 17, 2024

0

9

0

+1877

help with quadratic

Find all the solutions to x^2 + 6x + 13 = 2x - 7x + 10.

tomtom Jan 17, 2024

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9

0

+1877

Complex Roots

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?

tomtom Jan 17, 2024

0

8

0

+1877

Equation

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

tomtom Jan 17, 2024

-1

24

0

+1877

Quadratic

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

tomtom Jan 17, 2024

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7

0

+1877

Discriminant

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

tomtom Jan 17, 2024

-1

38

0

+1877

quadratic

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

tomtom Jan 17, 2024

0

2

1

+400

Proportion

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?

omgitsrne Jan 17, 2024

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3

1

+400

Proportion

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?

omgitsrne Jan 17, 2024

0

7

0

+400

Proportion

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 ..

omgitsrne Jan 17, 2024

0

7

0

+400

Rates

A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes $2$ hours and $40$ minutes, but when there is a wind blowing from Penthaven to Jackson at $50$ miles per hour, the trip takes $3$ hours read more ..

omgitsrne Jan 17, 2024

Jan 16, 2024

0

24

0

+1467

Radicals

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

parmen Jan 16, 2024

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5

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+1467

Radicals

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

parmen Jan 16, 2024

0

30

0

+1467

Algebra

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 + ___

parmen Jan 16, 2024

0

26

0

+1467

Integer pairs

Find the number of ordered pairs $(m,n)$ of integers that satisfy
mn = 3m + 6n - 2m + 4n

parmen Jan 16, 2024

0

39

1

+1467

Complex numbers

Simplify (1-3i)(2-i)(2+i-7+5i)(1+3i-2+4i).

parmen Jan 16, 2024

0

34

0

+1467

Complex numbers

Express \frac{15 - 16i}{2 - 3i + 5 - 7i} in standard form.

parmen Jan 16, 2024

0

40

1

+400

chords

Chords $\overline{PR}$ and $\overline{QS}$ of a circle are perpendicular. Find $RS$.
PQ = 3, QR = 5, PS = 7

omgitsrne Jan 16, 2024

0

17

1

+400

help geometry

Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $XY = 8$ and $XB = BY = 10$, then what is the radius of the circle? read more ..

omgitsrne Jan 16, 2024

0

4

1

+1756

Binomial

Find the constant p such that x^2 - 5x - 2x + 12x + p is the square of a binomial.

bader Jan 16, 2024

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