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Fiesta28 [93]
3 years ago
8

If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
Y = k / x² ( y varies inversely as the square of x ) 
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200


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Step-by-step explanation:

Question six can be re-worded to create the following expression:

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-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x

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To get the numbers, we can create a system of linear equations. First, solve for y in each expression:

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