SOLUTION: ellipse in standard form: (1/6)(x+2)^2 + (1/9)(y-5)^2= 1 find the center, foci, length of the major axis, and the distance between the two foci may you please help me fin

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: ellipse in standard form: (1/6)(x+2)^2 + (1/9)(y-5)^2= 1 find the center, foci, length of the major axis, and the distance between the two foci may you please help me fin      Log On


   



Question 193324: ellipse in standard form:
(1/6)(x+2)^2 + (1/9)(y-5)^2= 1
find the center,
foci,
length of the major axis,
and the distance between the two foci
may you please help me find these?
thank you!

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
center is at (-2,5)
:
foci c c%5E2=6%2B9=15
:
c=sqrt%2815%29
:
foci are at (-2,5+sqrt(15)) and (-2, 5-sqrt(15))
:
length of major axis is 2a...a=3 so 2a= 2(3)=6units
:
distance between foci is2sqrt%2815%29