If u is inversely proportional to the square of v and u is 4/9 when v is 3, find u when v is 8

Answer:u=1/16

Step-by-step explanation:

u is inversely proportional to v^2

u=k * 1/v^2

u=k/v^2

When U=4/9 when v=3

4/9=k*1/3^2

4/9=k*1/9

4/9=k/9

Cross multiply

4*9=k*9

36=9k

Divide both sides by 9

36/9=9k/9

4=k

When v = 8, u=?

u=k/v^2

Recall k=4

u=4/8^2

u=4/64

u=1/16