I believe the correct answer is 7 out of 24(7/24).
Answer:






Where h,k represent the vertex and we got:

(5,6)
Step-by-step explanation:
We have this original function given :

And we want to find the vertex for this new function
and we have:

And solving the square we got:

And adding similar terms we got:

Now we can complete the square like this:


The general equation is given by:

Where h,k represent the vertex and we got:

(5,6)
36 and 100 are both perfect squares
the factorization of x^2-y^2 is (x+y)(x-y)
substitute x^2 with 36x^2 and y^2 with 100y^2:
<span>36x^2-100y^2=
(6x+10y)(6x-10y) or
4(3x+5y)(3x-5y)</span>