Question

If y varies inversely a X², how dose x varies with y​

Answer 1

Step-by-step explanation:

square of x is x2

Inverse of square of x is 1 / x2

So the equation would be:

y = k / x2

where k is a proportionality constant.

To find the value of k, plug in the known values for x and y: x=3, y=45

45 = k / 32 = k / 9

k=405

Now you have the full equation with proportionality factor.

y = 405 / x2

then, for x=5:

y = 405 / 52 = 405 / 25

y = 16.2