SOLUTION: (x+6)^2/100 + (y+7)^2/121 find the major axis vertices and the foci of the ellipse

Question 625561: (x+6)^2/100 + (y+7)^2/121
find the major axis vertices and the foci of the ellipse
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
(x+6)^2/100 + (y+7)^2/121
find the major axis vertices and the foci of the ellipse
**
next time be sure to make the above expression =1, if it is an ellipse.
(x+6)^2/100 + (y+7)^2/121=1
This is and equation of an ellipse with vertical major axis
Its standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, (h,k)=(x,y) coordinates of center:
For given equation:
center: (-6,-7)
a^2=121
a=√121=11
vertices: (-6,-7�a)=(-6,-7�11)=(-6,-18) and (-6,4)
..
b^2=100
b=√100=10
..
c^2=a^2-b^2=121-100=21
c=√21≈4.6
foci: (-6,-7�c)=(-6,-7�4.6)=(-6,-11.6) and (-6,2.4)
see graph below as a visual check:
y=�(121-121(x+6)^2/100)^.5-7

RELATED QUESTIONS
The problem is: identify the vertices, co-vertices, and foci of the ellipse:... (answered by richwmiller)

Find the center, foci, vertices, length of major axis, and length of minor axis of the... (answered by Edwin McCravy)

For the given ellipse, find the principal axis, center, vertices, co-vertices, foci,... (answered by Edwin McCravy)

x^2/25+y^2/16=1 what are its vertices,foci,eccentricty of the ellipse? length of major (answered by ikleyn)

find the answers of the following: ellipse: 4X^2+y^2+8X-4y-92=0 find its... (answered by jsmallt9)

Find the length of the major axis. (x - 8)^2/49+(y+6)^2/121=1 (answered by stanbon)

ellipse in standard form: (1/6)(x+2)^2 + (1/9)(y-5)^2= 1 find the center, foci,... (answered by Mathtut)

For the following ellipse: (x + 2)2 + (y + 2)2 = 1 (answered by Boreal)

The ellipse defined by the equation 2x^2+ y^2 + 4x − 9y = 7. Major axis parallel to: (answered by Edwin McCravy)