Question

brainly if answered The quantity z varies directly with x and inversely with y When x=12 and y=–6, z=2. What is the value of k, the constant of variation?

Answer 1

Answer:

yvaires directly as x means

y=kx

y varies inversly with z means

y=k/z

therfor

y=(kx^2)/z

k=constant of variation

6=(k9^2)/27

6=(k81)/27

6=3k

divide both sides by 3

2=k

the constant of variation is 2

Step-by-step explanation: