SOLUTION: Write the standard equation of each ellipse. Find the coordinates of the center, vertices, co-vertices, and foci. {{{ x^2/3 + y^2/12 = 3 }}}

Algebra ->  Test  -> Lessons -> SOLUTION: Write the standard equation of each ellipse. Find the coordinates of the center, vertices, co-vertices, and foci. {{{ x^2/3 + y^2/12 = 3 }}}       Log On


   

Question 141400: Write the standard equation of each ellipse. Find the coordinates of the center, vertices, co-vertices, and foci.
+x%5E2%2F3+%2B+y%5E2%2F12+=+3+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the coordinates of the center, vertices, co-vertices, and foci.
+x%5E2%2F3+%2B+y%5E2%2F12+=+3+
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x^2/9 + y^2/36 = 1
a = sqrt36 = 6 ;
b = sqrt9 = 3
c^2 = a^2-b^2 = 36-9 = 27
c = 3sqrt3
-------------------------
vertices: (0,6), (0,-6)
co-vertices: (3,0), (-3,0)
foci: (0,3sqrt3), (0,-3sqrt3)
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Cheers,
Stan H.