Question

What is the length of the major axis of the ellipse?

Answer 1

\[\frac{ 9(x+5)^{2} }{ 4^{2} }+\frac{ (y-9)^{2} }{ 2^{2} }=1\]

Answer 2

length of the major axis = 2a

General Equation of Ellipse with major axis on x-axis is x^2/a^2 + y^2/b^2 = 1

Answer 3

1st Rewrite the equation in that form

Answer 4

major axis means longest diameter.
for \(\dfrac{x^2}{b^2}+\dfrac{y^2}{a^2}=1\)
where, a>b, the length of major axis = 2a

Answer 5

Okay but isn't italready in that form? Or amI just retarded.

Answer 6

almost, the point here is to identify 'a'
if you can do that, no need to do anything else.

Answer 7

well according to the formula there a=2
Wait...is it seriously that simple?

Answer 8

yes, actually.
a=2
Major axis = 2a =... ?

Answer 9

4
well idk if i should rage or cry with relief :) thanks for the help...

Answer 10

welcome anyways ^_^