Question

Help with ellipses

Answer 1

Find the equation of an ellipse based on the following information: Foci: (±5, 0), major axis of length 12.

Answer 2

\[\frac{ x^2 }{ 6^2 }+\frac{ y^2 }{ }=1\]

Answer 3

I know that much so far because 12/2 = 6
since the major axis is on the x axis

Answer 4

but I would assume that c = 5 so that you can use

5= (sqrt6^2 - b^2)^2

Answer 5

25 = 36 - b^2

Answer 6

36-25= 11 so sqrt 11 is the part we are missing

Answer 7

\[\frac{ x^2 }{ 36 }+\frac{ y^2 }{ 11 }=1\]

Answer 8

Which I believe is the full equation

Answer 9

so this is what I would start with
by the way the foci always lay on the major axis (that being the longest axis of the two )