Question 901275
find the vertices, foci, eccentricity, and length of the latus rectum of the ellipse whose equation is x^2 plus 9y^2 equals to 9. 
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x^2+9y^2=9
x^2/9+y^2=1
This is an equation of an ellipse with horizontal major axis with center at the origin.
Its standard form of equation: {{{x^2/a^2+y^2/b^2=1}}},a>b
For given ellipse:{{{x^2/9+y^2=1}}}
center:(0,0)
a^2=9
a=3
vertices:(0±a,0)=(0±3,0)=(-3,0) and (3,0)
b^2=1
c^2=a^2-b^2=3-1=2
c=√2
foci(0±c,0)=(0±√2,0)=(-√2,0) and (√2,0)
eccentricity=c/a=√2/3
latus rectum=2b^2/a=2/3