SOLUTION: All of the questions are based on the same ellipse... 1)An ellpise has foci at (-5,0)and (5,0). What is the value of c²? 2)If the sum of the focal radii of this ellpise i

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: All of the questions are based on the same ellipse... 1)An ellpise has foci at (-5,0)and (5,0). What is the value of c²? 2)If the sum of the focal radii of this ellpise i      Log On


   

Question 616987: All of the questions are based on the same ellipse...
1)An ellpise has foci at (-5,0)and (5,0). What is the value of c²?


2)If the sum of the focal radii of this ellpise is 12, what is the value of a²?


3)Using your conclusions, what is the value of b²?


4)What is the equation of the ellipes?


5)What are the x-intercepts of the ellipse?


6)What are the y-intercepts of this ellipse?


7) Graph the ellipse and plot the foci on a graph.


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


is the distance from the center to either of the foci. Since the foci are equidistant from the -axis and the -coordinates of the foci are both , we can conclude that the center of the ellipse is the origin, (0,0). Given that you should be able to determine the distance from the center to either focus by inspection and square that value to get .

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism