Respuesta :

Answer:

a = 7

b = 8

Explanation:

Given:

Note that when a hyperbola equation is given as;

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

where;

a = the distance from the center to the vertex

b = the distance perpendicular to the transverse axis from the vertex to the asymptote

From the given graph, we can see that the distance from the vertex to the center is 7, therefore, a = 7.

Also, the distance perpendicular to the transverse axis from the vertex to the asymptote is 8, therefore, b = 8

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