SOLUTION: what is the other major axis vertex for the ellipse definded bt this equation: (x+3)^2/(64)+ (y-9)^2/(49) = 1 one major axis vertex is located at (5,9)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what is the other major axis vertex for the ellipse definded bt this equation: (x+3)^2/(64)+ (y-9)^2/(49) = 1 one major axis vertex is located at (5,9)      Log On


   

Question 467976: what is the other major axis vertex for the ellipse definded bt this equation:
(x+3)^2/(64)+ (y-9)^2/(49) = 1
one major axis vertex is located at (5,9)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
what is the other major axis vertex for the ellipse definded bt this equation:
(x+3)^2/(64)+ (y-9)^2/(49) = 1
one major axis vertex is located at (5,9
...
(x+3)^2/(64)+ (y-9)^2/(49) = 1
This is an ellipse with a horizontal major axis with center at (-3,9).
The major axis is on the line y=9.
On this line given vertex (5,9) is 8 units from center (-3,9)
So the other vertex is also 8 units from center in the other direction at (-11,9)
see graph below as a visual check on answer:
..
y=±(49-49(x+3)^2/64)^.5+9