Question

X varies inversely as the square of. If x=6 then y=2, find x when y=8​

Answer 1

Answer:

3/8

Step-by-step explanation:

x=6 and y=2

let constant of proportionality be k
∴ 6=k×1/2²

∴ 6=k×1/4

∴ k=6×4=24

Now, y=8 and k is 24 (as it is constant so it will remain the same)

∵ x=k×1/y²

∴ x=24×1/8²

    =24×1/64

    =24/64

    =3/8