Question 540725: Find the center, vertices, and foci of each ellipse.
(a.)
(x+9)^2/4 + (y-18)^2/100=1
(b.)
4x^2=9y^2-64x-144y+796=0
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the center, vertices, and foci of each ellipse.
(a.)
(x+9)^2/4 + (y-18)^2/100=1
Standard form of equation for ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1
For given equation:
center: (-9,18)
a^2=100
a=10
vertices: (-9,18±a)=(-9,18±10)=(-9,28) and (-9,8)
..
b^2=4
c^2=a^2-b^2=100-4=96
c=√96≈9.8
Foci: (-9,18±c)=(-9,18±√96)=(-9,27.8) and (-9,8.2)
..
(b.)
4x^2=9y^2-64x-144y+796=0
Equation not written in workable form. Please clarify.
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