Question

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

(х + 2)^2/9+ (у - 4)^2/36= 1

А.18
B.12
C.6
D. 36

Answer 1

Answer:12

Explanation:

12

Answer 2

B. 12.

Explanation:

The equation of an elipse has the form

`((x-h)^(2) )/(a^(2) ) +((y-k)^(2) )/(b^(2) ) =1`

Where
`a` represents the major semi-axis and
`2a` represents the whole major axis. Notice that this parameter is the greater denominator between both fraction.

In this case, we have

`((x+2)^(2) )/(9 ) +((y-4)^(2) )/(36 ) =1`

You can observe that the greater denominator is 36, which is with the y-variable. This means the equation represents a vertical elipse, and the length of the major axis is

`2a=2(6)=12`

Therefore, the right answer is B. 12.