SOLUTION: 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

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.
RELATED QUESTIONS
find the center,vertices and foci of the ellipse:... (answered by lwsshak3)

6. find the center, vertices, and foci of the ellipse with the following equation: (answered by lynnlo)

Find the center, vertices, foci and eccentricity of the ellipse... (answered by ikleyn)

Find the center, vertices and foci of the following ellipse: (x + 3)^2/9 + (y +... (answered by funmath)

I need to find the center,vertices, and foci of the ellipse... (answered by Edwin McCravy)

4x^2+25y^2-8x+100y+4=0 find the center, vertices and foci of the ellipse (answered by lwsshak3)

Find the center, vertices, and foci of the ellipse for 4x^2+25y-8x+ 100y+4=0. Solve and... (answered by ikleyn)

Find the ellipse 16x^2+25y^2-64x+50y-311=0, find the center, vertices, and foci, and draw (answered by Fombitz)

Classify the conic section and write its equation in standard form. 1) 4x^2 + y^2 -... (answered by lynnlo)