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MrRa [10]
3 years ago
13

The value of y varies inversely as the square of x, and y = 9, when x = 4.

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

Answer:

The answer is

<h2>12</h2>

Step-by-step explanation:

The above variation is written as

y =  \frac{k}{ {x}^{2} }

where k is the constant of variation

when y = 9

x = 4

We have

k = yx²

k = 9(4)²

k = 9 × 16

k = 144

So the formula for the variation is

y =  \frac{144}{ {x}^{2} }

when y = 1

1 =  \frac{144}{ {x}^{2} }

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you.

zmey [24]3 years ago
5 0

±2

Step-by-step explanation:

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