Answer:
2
Explanation:
Varies directly means we multiply to the constant, where as inversely means we divide the constant.
So we have
"y varies directly with the square of x and inversely with z".
This means x^2 will be on top and z will be on bottom.
Like this:

We are given x=9,z=27, and y=6. This will allow us to find k.
k is constant no matter what (x,y,z) we have.



Divide both sides by 3:

So the constant of variation is 2.