SOLUTION: identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph      Log On


   

Question 974197: identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph
***
25x%5E2%2B64y%5E2=1600
divide by 1600
x%5E2%2F64%2By%5E2%2F25=1
This is an equation of an ellipse with horizontal major axis with center at the origin (0,0)
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1
For given problem:
a^2=64
a=8
x-intercepts: (-8,0) and (8,0)
..
b^2=25
b=5
y-intercepts: (0,-5) and (0,5)
see graph below:
y=(25-25x^2/64)^.5