Find the center, vertices, and foci of the ellipse with equation 5x2 + 9y2 = 45.

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asked Apr 10, 2018 97.2k views

2 Answers

Richard Vergis · Answer 1 · 2018-04-14T07:02:56+0000

5x^2 + 9y^2 = 45

÷45

x^2/9 + y^2/5 = 1

center=(0,0)

vertices=(+a,0) and (-a,0)
=(3,0) and (-3,0)

a^2=b^2+c^2
c^2=9-5=4
c=2

foci = (+c,0) and (-c,0)
= (2,0) and (-2,0)

I hope that helps!

Find the center, vertices, and foci of the ellipse with equation 5x2 + 9y2 = 45.-example-1

Find the center, vertices, and foci of the ellipse with equation 5x2 + 9y2 = 45.

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