SOLUTION: identify the vertices, co-vertices, foci and domain and range in 9x^2+49y^2=441

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Question 1026645: identify the vertices, co-vertices, foci and domain and range in 9x^2+49y^2=441
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2%2B49y%5E2=441 <==> x%5E2%2F49+%2B+y%5E2%2F9+=+1
The major axis is along the x-axis, while the minor axis is along the y-axis.
The vertices are (7,0) and (-7,0), while the co-vertices are (0,3) and (0,-3).
For an ellipse, b%5E2%2Bc%5E2+=+a%5E2.
==> 9+%2B+c%5E2+=+49 ==> c%5E2+=+40, or c+=+2sqrt%2810%29.
==> Foci are (-2sqrt%2810%29,0) and (2sqrt%2810%29,0).
Domain is the closed interval [-7,7], while the range is the closed interval [-3,3].