SOLUTION: Find the vertices and foci of the ellipse. x2/9 + y2/4=1 vertices (x, y) = (smaller x-value) (x, y) = (larger x-value) foci (x, y) =

Algebra ->  Finance -> SOLUTION: Find the vertices and foci of the ellipse. x2/9 + y2/4=1 vertices (x, y) = (smaller x-value) (x, y) = (larger x-value) foci (x, y) =       Log On


   

Question 815551: Find the vertices and foci of the ellipse.
x2/9 + y2/4=1

vertices
(x, y) =

(smaller x-value)
(x, y) =

(larger x-value)
foci
(x, y) =

(smaller x-value)
(x, y) =

(larger x-value)
Sketch its graph, showing the foci.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertices and foci of the ellipse.
x%5E2%2F9+%2B+y%5E2%2F4=1 C(0,0)
V(-3,0)& V(3,0) and F(-sqrt%285%29,0) & F(sqrt%285%29 ,0)
sqrt%289-4%29 = sqrt%285%29
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and ±sqrt%28a%5E2-b%5E2%29are the foci distances from center: a > b