Find the vertices and foci of the hyperbola with equation quantity x minus 5 squared divided by 144 minus the quantity of y minus 4 squared divided by 81 = 1. a. vertices: (14, 4), (-4, 4); foci: (-4, 4), (14, 4) b. vertices: (17, 4), (-7, 4); foci: (-10, 4), (20, 4) c. vertices: (4, 17), (4, -7); foci: (4, -10), (4, 20) d. vertices: (4, 14), (4, -4); foci: (4, -4), (4, 14)

The vertices: (17, 4), (-7, 4); Foci: (-10, 4), (20, 4) of the hyperbola.

The correct option is B.

Given

The equation represents the hyperbola;

The standard equation of hyperbola can be represented as;

Where h and k are the centers of the hyperbola.

Converting the equation into standard form hyperbola;

Then,

The value of c is;

Therefore,

The vertices and foci of the hyperbola are;

Hence, the vertices: (17, 4), (-7, 4); Foci: (-10, 4), (20, 4) of the hyperbola.

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d

step-by-step explanation:

d

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