What are the vertices of the hyperbola whose equation is (x+7)^2/25-(y-8)^2/32= 1?(−13, 8) and (−1, 8)
(−12, 8) and (−2, 8)
(−7, 2) and (−7, 14)
(−7, 3) and (−7, 13)

B) (-12,8) and (-2,8)

Step-by-step explanation:

x+7 was the first one so thats the number thats going to change

and the formula is (x-h) and (y-h) so the center will be (-7, 8)

when you add 5 which is the square root of a^2  (25) you get (-12,8) and (-2,8)

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

step-by-step explanation: