Respuesta :

wizard123
Hyperbola equation opening horizontally:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Asymptotes:
[tex]y = \pm \frac{b}{a} x[/tex]

'a' is distance vertex is from center --> a = 9
'c' is distance focus is from center  --> c = 15
[tex]a^2 + b^2 = c^2 \\ \\ b^2 = 15^2 - 9^2 = 144 \\ \\ b = 12[/tex]

Asymptotes are:
[tex]y = \pm \frac{12}{9} x = \pm \frac{4}{3} x[/tex]
plsmith2004

Answer:

C

Step-by-step explanation: