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
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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
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