Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is .

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is

We need to use the relation to find .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

We substitute these values into the standard equation of the hyperbola to obtain:

65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4