SOLUTION: What is the general conic form equation of the ellipse? Vertices: (6,9), (6,1) Foci: (6, 5+3.46101615) (6, 5-3.46101615)

Question 856828: What is the general conic form equation of the ellipse?
Vertices: (6,9), (6,1)
Foci: (6, 5+3.46101615) (6, 5-3.46101615)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the general conic form equation of the ellipse?
Ellipse has a vertical major axis.
Its standard form of equation: , a>b, (h,k)=coordinates of center
Vertices: (6,9), (6,1)
Foci: (6, 5+3.46101615) (6, 5-3.46101615)
y-coordinate of center=5 (midpoint of 9 and 1)
x-coordinate of center=6
center: (6,5)
length of vertices=10=2a
a=5
a^2=25
foci:
c=3.46
c^2=11.98
c^2=a^2-b^2
b^2=a^2-c^2=25-11.98=13.03
Equation:
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