SOLUTION: how can I solve this use eccentricity of each ellipse to find its equation is standrad forom eccentricity 2/5 , major axis on the x-axis and of lenth 10 center (0,0)

Question 720102: how can I solve this use eccentricity of each ellipse to find its equation is standrad forom eccentricity 2/5 , major axis on the x-axis and of lenth 10 center (0,0)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
how can I solve this use eccentricity of each ellipse to find its equation is standrad forom eccentricity 2/5 , major axis on the x-axis and of lenth 10 center (0,0)
***
Standard form of equation for an ellipse with horizontal major axis:
, (a>b), (h,k) = (x,y) coordinates of the center
For given problem:
center: (0,0)
length of horizontal major axis=10=2a
a=5
a^2=25
eccentricity=c/a=2/5
c=2a/5=10/5=2
c^2=4
c^2=a^2-b^2
b^2=a^2-c^2=25-4=21
Equation of given ellipse:

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