Mathematics
deitzgirldj
11

find the center, vertices, and foci of the ellipse with equation x squared divided by 144 plus y squared divided by 225 = 1.

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(1) Answers
andrades

[latex] \frac{ x^{2} }{144} + \frac{ x^{2} }{225} \\ = \frac{ (x-0)^{2} }{ 12^{2} } + \frac{ (y-0)^{2} }{ 15^{2} } [/latex] Center = (0, 0) Vertices = (0, -15) and (0, 15) [latex] a^{2} - c^{2} = b^{2} [/latex]; where a = 15, b = 12 225 - c^2 = 144 c^2 = 225 - 144 = 81 c = + or - 9 Therefore, foci = (0, -9); (0, 9)

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