SOLUTION: Find the vertices and foci of the hyperbola with equation x squared over nine minus y squared over sixteen = 1. choices below Vertices: (± 5, 0); Foci: (± 3, 0) Vertic

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Question 1136094: Find the vertices and foci of the hyperbola with equation x squared over nine minus y squared over sixteen = 1.
choices below

Vertices: (± 5, 0); Foci: (± 3, 0)

Vertices: (± 3, 0); Foci: (± 5, 0)

Vertices: (0, ± 3); Foci: (0, ±5)

Vertices: (0, ± 5); Foci: (0, ± 3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2+=+1
compare to your
x%5E2%2F9-y%5E2%2F16+=+1

=> h=0, k=0, a=±3, b=±4
c=sqrt%28a%5E2%2Bb%5E2%29
c=sqrt%283%5E2%2B4%5E2%29
c=sqrt%2825%29
c=±5
so,
center: (0,0)
foci: (c,0)=(-5, 0) and (5, 0)
vertices: (a,0)=(-3, 0) and (3,+0)

answer:Vertices: (± 3,+0); Foci: (± 5,+0)