Mathematics, 17.07.2019 17:00, Tcutety
Write an equation of the ellipse with foci at (0 ±11) and vertices at (0 ±12)
Answers: 1
. Of the values a and b, a is always greater than b, so it is on our major axis, the y-axis (it's under the y-k). a is the distance from the center to the vertices. When you plotted those given points, you can see that point dead center between the foci and the vertices is the origin (0, 0). That gives us our h and k values of 0 and 0. a is the number of units from the h coordinate of 0 to the y coordinate of the vertex, so a = 12. c is the number of units from the center to the foci, so c = 11. We need to find b now using the formula for the foci which is 
. We have c and a, so 
and 
. Now we have all the info we need to rewrite the equation: 
or, simplified, 
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Write an equation of the ellipse with foci at (0 ±11) and vertices at (0 ±12)...
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