SOLUTION: graph the ellipse given by (x-5)^2/81+(y-9)^2/25=1

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Question 698944: graph the ellipse given by (x-5)^2/81+(y-9)^2/25=1
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Ellipses like this  have equations of this form with aČ under the term in x 



Ellipses like this  have equations of this form with aČ under the term in y 



a is always greater than b, and of course aČ is greater than bČ.



The center is (h,k), the semi-major axis is a, the semi minor axis is b.



Since the denominator 81 is larger than the denominator 25, so we know
this is an ellipse that looks like this  

By comparison h=5, k=9, aČ=81, bČ=25, and so a=9, b=5

So the center is (h,k) = (5,9). The major axis is 2a=18, and the minor
axis is 2b=10, and the two axes bisect each other at the center (5,9), 
so we draw this:



Edwin

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