Question

What is the length of the vertical axis of the ellipse describes by the equation below

Answer 1

Hint:  $\bf \cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1 \\\\ -----------------------------\\\\ \cfrac{(x+8)^2}{49}+\cfrac{(y+3)^2}{16}=1\iff \cfrac{(x+8)^2}{7^2}+\cfrac{(y+3)^2}{4^2}=1$

"a" is the major component, "b" is the minor, the vertical axis is b+b