Question

Write the equation in standard form for the hyperbola with vertices (-8,0) and (8,0), and foci (-10,0) and (10,0).

Answer 1

The equation in standard form for the hyperbola with the given vertices and foci is x²/64 - y²/b² = 1.

Step-by-step explanation:

The equation in standard form for the hyperbola can be written as:

x²/64 - y²/b² = 1

where 'a' is the distance between the center and vertices, and 'b' is the distance between the center and the foci. In this case, 'a' is 8 and 'b' is 10