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

Step-by-step explanation:

The equation of an elipse has the form

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

In this case, we have

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

Therefore, the right answer is B. 12.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

answer: it is d

step-by-step explanation: