# Zvaries jointly as the square root of the product of x and y. if z=3 when x=3 and y=12, find the x when z=6 and y =64

Answers: 3

## Answers

Zvaries jointly as the square root of the product of x and y. if z=3 when x=3 and y=12, find the x w...

k = z/√xy

= 3/√(3)(12)

= 3/√36

= 3/6

k = 1/2 is our constant...

When z = 6 and y = 64 find x.

z = k√xy

6 = 1/2√x(64)

6 = 1/2√64x

6 = 1/2(8)√x

6 = 8/2√x

6 = 4√x

4√x = 6

(4√x)² = (6)²

16x = 36

16x/16 = 36/16

x = 9/2