All Questions ⁺⁰237994 Questions

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157

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Help plz

I need help with geometry
In triangle ABC, angle ACB = 90^\circ. Let H be the foot of the altitude from C to side \overline{AB}.
Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

Guest May 9, 2023

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155

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Four concentric circles are drawn with radii of 1, 3, 7 and 7. The inner circle is painted black, the ring around it is white, the next ring

Four concentric circles are drawn with radii of 1, 3, 5 and 7. The inner circle is painted black, the ring around it is white, the next ring is black and the outer ring is white. What is the ratio of the black area to the white area? Express your read more ..

Guest May 9, 2023

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175

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Help plz

In the diagram below, SR = PQ = 20 and RT:TS = 2:3. Find UV.

Guest May 9, 2023

May 8, 2023

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173

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Simplify

Assuming that p neq 0 and q neq 0, simplify (pq^2)^3*(4pq^2)^(-3)*(2pq)^2*(2p^2*q^3)^2

Guest May 8, 2023

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147

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Simplify

Assuming that x neq 1/2, simplify (12x^2 - 6x)*(4x - 2).

Guest May 8, 2023

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151

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Simplify

Simplify the expression ab^2 + 3a^3b - ab^2 + ab^2 - a^3*b - 4a^3b + 2a^3b - ab^2.

Guest May 8, 2023

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181

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hello help

In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to line PR. If PQ = 9, QR = 9, and PR = 9, then compute the length of XY. read more ..

Guest May 8, 2023

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156

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HElp please

How many solutions are there to the equation \[u + v + w + x + y + z = 8,\]where $u,$ $v,$ $w,$ $x,$ $y,$ and $z$ are nonnegative integers, and $x$ is at most $2?$

Guest May 8, 2023

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157

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Help with altitudes

I need help with altitudes
Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = 18, and CF is a positive integer, then find the largest possible value of CF.

Guest May 8, 2023

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149

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help plz

Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest May 8, 2023

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164

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Graphing

The graph of f(x) = a * b^x passes through (2,54) and (5,18). What is the value of b? Any help is appreciated!

Guest May 8, 2023

+11

104

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+1307

Maximum value c

Let c be a real number. What is the maximum value of c such that the graph of the parabola has at most one point of intersection with the line ?

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dolphinia May 8, 2023

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176

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quick question

Five times a number is divided by 7 more than the number. If the result is 0, then what was the original number?

Guest May 8, 2023

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156

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Simplify

Assuming that x \neq -3, simplify (8x - 4)(x + 3) - (4x - 44)(2x + 6).

Guest May 8, 2023

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158

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Help plz

1. Find the area of triangle ABC if AB = 6, BC = 8, and angle ABC = 90 degrees.
2. If angle ABC = 135 degrees, and angle ACB = 30 degrees, what is angle BAC?

Guest May 8, 2023

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157

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Solve

Solve for the variable x in terms of y and z, assuming y \neq \frac{1}{2}:
xy + x = \frac{3x + 2y + z + y + 2z}{3}

Guest May 8, 2023

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181

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Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 21*4 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

Guest May 8, 2023

+1

167

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+95

Math

Solve for x, where x > 0 and 5x^2 + 9x -18 = 0. Express your answer as a simplified common fraction.

ZBRS7311 May 8, 2023

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155

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solve pls

Guest May 8, 2023

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171

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Fractions

An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?

Guest May 8, 2023

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