SOLUTION: Write an equation for an ellipse with x-intercepts (+2,0) and y-intercepts (0,+5) - - This line goes directly under the plus sign

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation for an ellipse with x-intercepts (+2,0) and y-intercepts (0,+5) - - This line goes directly under the plus sign      Log On


   

Question 631803: Write an equation for an ellipse with x-intercepts (+2,0) and y-intercepts (0,+5) -
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This line goes directly under the plus sign but i didnt know how to type that in
please show all work
Thanks
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

ellipse with x-intercepts (±2,0) and y-intercepts (0,±5)  

 x%5E2%2F2%5E2+%2B+y%5E2%2F5%5E2+=+1

    Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fb%5E2+%2B+%28y-k%29%5E2%2Fa%5E2+=+1+ 

where Pt(h,k) is the center. (a variable positioned to correspond with major axis)

 a and b  are the respective vertices distances from center

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Center is at , Semi-major axis measures 5, semi-minor axis measures 2, so



Which reduces to:



John

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