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. choices below A.Center: (0, 0); Ve

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. choices below A.Center: (0, 0); Ve      Log On


   

Question 1136089: 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.
choices below

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):
You can put this solution on YOUR website!

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),(-10,0)
foci at:(±c,0)
(6,0),(-6,0)

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