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2 years ago

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

Mathematics

2 answers:

ale4655 [162]2 years ago

6 0

Answer:

150 is write answer

Step-by-step explanation:

mark me a brainlist

Masteriza [31]2 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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