SOLUTION: Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1. choices below Vert

Question 1138243: Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1.
choices below
Vertices: (4, 3), (-14, 3); Foci: (-20, 3), (10, 3)

Vertices: (3, 7), (3, -17); Foci: (3, -17), (3, 7)

Vertices: (7, 3), (-17, 3); Foci: (-17, 3), (7, 3)

Vertices: (3, 4), (3, -14); Foci: (3, -20), (3, 10)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Find the vertices and foci of the hyperbola with equation quantity

compare to standard form:

it's Right-left Hyperbola with:
=> =>
=> =>
=> ,
the center is at (, )
=> center is at:(,)

the foci are at (, ), (, )

=>the foci are at (,) , (,)
the vertices are at (, ), (, )
=>the vertices are at (,) and (, )

answer:
Vertices: (,), (, ); Foci:(,) , (,)

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