Answer:
Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)
Step-by-step explanation:
Ok so we have 5x
As you know we have the equation of the hyperbola as (x-h)^2/a^2-(y-k)^2/b^2, so the formula of the foci is 
then we have to calculate c using pythagoras theorem we have that
a=6 because is the root of 36
b=8 beacause is the root of 64
And then we have that

So the root of 100 is equal to 10
Hence c=10
Using the formula given before and the equation we know that
h=-5
k=-1
And replacing those values on the equation we have that the foci are
And the vertices are:
- (-5-6, -1)=(-11,-1)
- (-5+6, 1)= (1,-1)
So the correct answer is D