Question

Find an equation that models the path of a satellite if its path is a hyperbola. Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000 km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal.

I know you're supposed to use the Pythagorean Theorem

Answer 1

A=(55,000,0)
C=(81,000,0)

c^2 = a^2 + b^2
81000^2 = 55,000^2 + b^2

I have this so far. I can find B but what do I do next?

Answer 2

Um... @Hero?

Answer 3

Anyone?

Answer 4

Do I just stick A and B into the (x^2/a^2)-(y^2/b^2)=1 formula?

Answer 5

Nevermind

Answer 6

yes

Answer 7

Okay thanks