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Determine the coordinates for the center, vertices, endpoints of the minor axis, and foci of the ellipse x²/25+y²/9=1.​

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User Chanse
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1 Answer

5 votes

Explanation:

Center would be (0, 0) because the equation is (x+0)^2 and (y+0)^2

Of course this isn't the full equation but just the numerator.

Major axis would be 5, and minor axis would be 3.

The endpoints of minor axis would be (0,3) and (0,-3). The endpoints of the major axis would be (5, 0) and (-5, 0)

The length of the foci of the ellipse would be sqrt(25 - 9) =sqrt( 16) = 4. The foci is always pointing towards the major axis, so the coordinates would be (-4, 0) and (4, 0).

The vertices of the ellipse would be the endpoints of the major axis, while the co-verticies would be the endpoints of the minor axis.

answered
User BradS
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8.0k points
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