If y varies inversely as the square of x and y=2 when x=4.find x when y=4/5

x = 2

Step-by-step explanation:

Given that y varies inversely as the square of x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 2 when x = 4

k = yx² = 2 × 4² = 2 × 16 = 32

y = ← equation of variation

When y = , then

= ( cross- multiply )

4x² = 160 ( divide both sides by 4 )

x² = 40 ( take the square root of both sides )

x = = = 2

step-by-step explanation:

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step-by-step explanation: