(x+7)^2+(y-6)^2=1

Question

If the major axis is horizontal and has a length of 22 units, the minor axis has a length of 18, and the ellipse has a center (-7,6) fill in the missing denominators for the equation and determine the distance from C to the foci (c).

(x+7)^2+(y-6)^2=1

Answer 1

from your previous questions, we know the larger number must be under the variable x which is the horizontal axis.

 

if the major axis is 22, then a = 11. Similarly, b = 9

 

therefore a² = 121 and b² = 81

 

c² = 121 - 81 = 40

c = 2√10