Respuesta :
Answer:
B. 12.
Step-by-step explanation:
The equation of an elipse has the form
[tex]\frac{(x-h)^{2} }{a^{2} } +\frac{(y-k)^{2} }{b^{2} } =1[/tex]
Where [tex]a[/tex] represents the major semi-axis and [tex]2a[/tex] represents the whole major axis. Notice that this parameter is the greater denominator between both fraction.
In this case, we have
[tex]\frac{(x+2)^{2} }{9 } +\frac{(y-4)^{2} }{36 } =1[/tex]
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
[tex]2a=2(6)=12[/tex]
Therefore, the right answer is B. 12.
