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miskamm [114]
3 years ago
7

CAN SOMEONE HELP ME WITH THIS GEOMETRY QUESTION PLEASE?!?

Mathematics
1 answer:
forsale [732]3 years ago
4 0
The triangles are similar 
so
(x+8)/42 = 24/(2x-4)
(x+8)(2x-4) = 24 * 42
2x^2 + 16x - 4x - 32 = 1008
2x^2 + 12x - 32 = 1008
2x^2 + 12x - 1040 = 0
2(x^2 + 6x - 520) = 0
2(x + 26)(x - 20) = 0
x + 26 = 0; x = -26
x - 20 = 0; x = 20

Since the side of triangle can't be negative so x = 20

Answer
x = 20
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Emma comes home from school at 4 p.m. and goes to bed at 8 p.m. if she spends 10 minutes each day doing homework, find the ratio
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Help me please!
telo118 [61]

Answer:

f^{-1}(6) = 50

Step-by-step explanation:

Given

f(x) = \sqrt{2x} - 4

Required

Find f^{-1}(6)

First, we calculate the inverse function

f(x) = \sqrt{2x} - 4

Express f(x) as y

y = \sqrt{2x} - 4

Swap the positions of x and y

x = \sqrt{2y} - 4

Solve for y: Add 4 to both sides

4 + x = \sqrt{2y} - 4+4

4 + x = \sqrt{2y}

Square both sides

(4 + x)^2 = 2y

Divide both sides by 2

y = \frac{(4 + x)^2}{2}

Express y as an inverse function

f^{-1}(x) = \frac{(4 + x)^2}{2}

Next, solve for: f^{-1}(6)

Substitute 6 for x

f^{-1}(6) = \frac{(4 + 6)^2}{2}

f^{-1}(6) = \frac{(10)^2}{2}

f^{-1}(6) = \frac{100}{2}

f^{-1}(6) = 50

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