Question

Ellipse question

Answer 1

"Find the center, vertices, and foci of the ellipse with equation 4x^2 + 6y^2 = 24."

Answer 2

So I simplified that down to x^2 + y^2 = 1

Answer 3

So the center must be 0,0 but the vertices at +/- 1 isn't a thing.

Answer 4

I used a graphing calculator and got verticies at +/- 1. But that isn't an answer choice

Answer 5

well, if you simplify it, you'll get:
\[\frac{ x^2 }{ 6 } + \frac{ y^2 }{ 4 }=1\]

Answer 6

True

Answer 7

I did like: 4x^2 + 6y^2 = 24
x^2 + 6y^2 = 24 / 4
x^2 + 6y^2 = 6
x^2 + y^2 = 1

Answer 8

so I see I cant do math.

Answer 9

I know what I did wrong.

Answer 10

yes, the problem lays in the second step:
if you had:
\[x^2+6y^2=6\]
that can't be, because you divided by 4, so you'd have:
\[x^2+\frac{ 3y^2 }{ 2 }=6\]

Answer 11

Yup