Y varies directly as x and inversely as the square of z. y=8 when x=16 and z=4. Find y when x=3 and z=9.

The value of y is

Explanation:

Given that y varies directly as x and inversely as the square of z.

Thus, it can be written as

Also, given that when and

Substituting these values in the above expression, we have,

Thus, the value of the constant is 8

Now, we shall find the value of y.

The value of y can be determined by substituting , and in the expression

Thus, we have,

Simplifying, we get,

Dividing, we get,

Thus, the value of y is

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step-by-step explanation:

123123 step byt step

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.