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Thepotemich [5.8K]
3 years ago
11

If y varies inversely as x squaredand y = 6 when x = 30, what is y when x = 6?

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0

Answer:

150 is write answer

Step-by-step explanation:

mark me a brainlist

Masteriza [31]3 years ago
3 0

Answer:

y = 150

Step-by-step explanation:

Given that y varies inversely as x² then the equation relating them is

y = \frac{k}{x^2} ← k is the constant of variation

To find k use the condition y = 6 when x = 30 , then

6 = \frac{k}{30^2} = \frac{k}{900} ( multiply both sides by 900 )

5400 = k

y = \frac{5400}{x^2} ← equation of variation

When x = 6 , then

y = \frac{5400}{6^2} = \frac{5400}{36} = 150

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