SOLUTION: Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by sixty four = 1. A.Center: (0, 0); Vertices: (-10, 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by sixty four = 1. A.Center: (0, 0); Vertices: (-10, 0      Log On


   

Question 1136140: Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by sixty four = 1.

A.Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-8, 0), (8, 0)

B.Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -8), (0, 8)

C.Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-6, 0), (6, 0)

d.Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -6), (0, 6)
Answer by MathLover1(20850) About Me  (Show Source):
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given: the ellipse with equation
x%5E2%2F100+%2By%5E2%2F64+=+1

=>a%5E2=100=>a=±10
=>b%5E2=64=>b=±8
h=0
k=0

c=sqrt%28a%5E2-b%5E2%29
c=sqrt%28100-64%29
c=sqrt%2836%29
c=±+6

the center is at (0,0)

vertices at:(±a,0)
(±10,0)

foci at:(±c,0)
(±6,0)

answer:
C.Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-6, 0), (6, 0)