Answer:
The answer to your question is the letter B.
Step-by-step explanation:
Data
major axis = 16
minor axis = 10
Process
1.- Calculate the value of a
major axis = 2a = 16
a = 16/2
a = 8
2.- Calculate the value of b
minor axis =2b = 10
b = 10/2
b = 5
3.- Write the equation of a vertical ellipse
[tex]\frac{(x - h)^{2}}{b^{2}} + \frac{(y - k)^{2}}{a^{2}} = 1[/tex]
C = (0, 0) and h = 0, k= 0
4.- Write the equation of the ellipse
[tex]\frac{x^{2}}{5^{2}} + \frac{y^{2}}{8^{2}} = 1[/tex]
The right answer is B because the denominators are simplified.
