SOLUTION: Graph each ellipse and clearly indicate the center, foci, vertices, and co-vertices x^2/16 - x/4 + y^2/9 + 4y/9 = 11/16 PS This is on fractions!! Thank you!'

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Question 1091493: Graph each ellipse and clearly indicate the center, foci, vertices, and co-vertices
x^2/16 - x/4 + y^2/9 + 4y/9 = 11/16
PS This is on fractions!! Thank you!'

Found 3 solutions by Alan3354, MathLover1, KMST:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
dl the FREE graph software at
www.padowan.dk
-----
Use F6 to enter this one.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

..........complete squares




















-> and , so the center is at (, )
semi-major axis length:

semi-minor axis length:





foci: (, ) =(, ) ≈ (, )
and
foci :(, ) =(,) ≈ (,)
vertices:
The vertices are units above and below the center, at
(, ) ≈ (, )
and
(, ) ≈ (, )
The co-vertices are units to either side of the center, at
( , ) and (, )



Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!

Center: (2,-2) where the black lines (the ellipse's axes of symmetry) cross
: , : ,
approximately (2,-5.527) and (2,1.527)
: ,
approximately (-1.110,-2) and (5.110,-2).

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