WILL MARK BRAINLIEST IF HELP WITH CONICS HYPERBOLAS PROBLEM!

Write the equation of a hyperbola, centered at the origin, given the following values.
Foci (±9,0), vertices (±4,0)

Respuesta :

Answer:

[tex]\frac{x^2}{16} -\frac{y^2}{65} = 1[/tex]

Step-by-step explanation:

standard form is :

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\\[/tex]

where the vertice is (+-a,0), and foci is (+-c,0) and c^2 = a^2 + b^2