Write equation for an ellipse with foci (±3,0) and major axis 10 units long
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Write equation for an ellipse with foci (±3,0) and major axis 10 units long

[From: ] [author: ] [Date: 11-04-22] [Hit: ]
you are correct!I hope this helps!......
the answer i got was x²/25 + y²/16 = 1 ... can anyone confirm for me? please and thanks.

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Note that the ellipse is centered at the origin since the foci have the form (±c, 0). Also, since the foci lie along the x-axis, the major axis will be horizontal.

Since the foci are at (±3, 0), we see that c = 3. Then, the major axis is 10 units long:
2a = 10 ==> a = 5.

Then, since c^2 = a^2 - b^2:
3^2 = 5^2 - b^2 ==> b = 4.

Thus, the equation is:
x^2/5^2 + y^2/4^2 = 1 ==> x^2/25 + y^2/16 = 1.

So, you are correct!

I hope this helps!
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