SOLUTION: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.) x^2/25+y^2/36=1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.) x^2/25+y^2/36=1      Log On


   

Question 471073: What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.)
x^2/25+y^2/36=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.)
x^2/25+y^2/36=1
**
x^2/25+y^2/36=1
This is an ellipse with a vertical major axis.
Center:(0,0)
a^2=36
a=6
..
b^2=25
b=5
..
(c) Foci
c^2=a^2+b^2=6+5=11
c=√11
Foci:(0,0±√11)
..
(a) x-intercept
y=0
x^2/25=1
x^2=25
x=±5
..
(b) y-intercept
x=0
y^2/36=1
y^2=36
y=±6
..
ans:
(a) x-intercept:±5
(b) y-intercept:±6
(c) Foci:(0,0±√11)
see graph below as a visual check on answers
..
y=±(36-36x^2/25)^.5