Question 932086: How would I go about solving 49x^2 + y^2 = 49 finding the center, vertices, co- vertices and foci?
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! ........both sides divide by
=> you have an ellipse; compare it to the standard form equation of an ellipse which is (your example is an ellipse with Vertical Major Axis,because ) where ( , ) is the center, is semiminor axis length, is semimajor axis length
Ellipses are actually very special cases of circles.
REMEMBER:
The right side of the equation must be in order to be in standard form.
The point ( , ) is most commonly referred to as the CENTER.
In order to graph an ellipse, you need points:
Right point ( , )
Left point ( , )
Top point ( , )
Bottom point ( , ).
in your case:
center at ( , )
foci | (( , ) | ( , ))approx.(( , ) | ( , ))
vertices | ( , ) | ( )
semimajor axis length | 
semiminor axis length |
eccentricity | ( ) approx.
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