SOLUTION: Find the vertices and foci of the hyperbola with equation quantity x minus five squared divided by eighty one minus the quantity of y minus one squared divided by one hundred and f

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Question 1136095: Find the vertices and foci of the hyperbola with equation quantity x minus five squared divided by eighty one minus the quantity of y minus one squared divided by one hundred and forty four = 1.
choices below

A.Vertices: (17, 1), (-7, 1); Foci: (-7, 1), (17, 1)

B.Vertices: (14, 1), (-4, 1); Foci: (-10, 1), (20, 1)

C.Vertices: (1, 14), (1, -4); Foci: (1, -10), (1, 20)

D.Vertices: (1, 17), (1, -7); Foci: (1, -7), (1, 17)
Answer by MathLover1(20850) About Me  (Show Source):
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%28x+-5%29%5E2+%2F81+-+%28+y+-+1%29%5E2%2F144+=+1
=>h=5, k=1
center: (5,1)
a=sqrt%2881%29=9
b=sqrt%28144%29=12
c=sqrt%2881%2B144%29
c=sqrt%28225%29
c=15
the vertices are at (h%2Ba,k), (h-a, k )
(5%2B9,1)=(14,1)
(5-9,1)=(-4,1)
foci at (h%2Bc,k), (h-c, k )
(5%2B15,1)=(20,1)
(5-15, 1 )=(-10,1)

answer: B.Vertices: (14, 1), (-4, 1); Foci: (-10, 1), (20, 1)