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Mathematics 10 Online
OpenStudy (anonymous):

Finding Ellipse?!?! Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0). Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (7, 0) and (-7, 0), y-intercepts at (0, 5) and (0, -5), and center at (0, 0). Write the equation of the given circle. center (-2, -2) radius of 6 How do I do this

OpenStudy (mertsj):

Why did you post this again?

OpenStudy (anonymous):

I didn't?

OpenStudy (mertsj):

For the first one, what is the center?

OpenStudy (anonymous):

0,0

OpenStudy (mertsj):

So we know that the numerators will be x^2 and y^2

OpenStudy (anonymous):

we do?

OpenStudy (mertsj):

Is the major axis vertical or horizontal?

OpenStudy (anonymous):

vertical I think

OpenStudy (mertsj):

Yes we do because we know that the equation of an ellipse is (x-h)^2/a^2 +(y-k)^2/b^2=1 if the major axis is horizontal and (x-h)^2/b^2+(y-k)^2?a^2=1 if the major axis is vertical.

OpenStudy (mertsj):

So in the first case, h and k are both 0

OpenStudy (mertsj):

Since the major axis is vertical, we know that the big number goes under y^2.

OpenStudy (anonymous):

wait

OpenStudy (mertsj):

And since a is the distance from the center to the end of the major axis, what is the value of a?

OpenStudy (anonymous):

write it out here so I can understand all of this better please? http://www.twiddla.com/1470080

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