Question 1136850
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c is the distance from the center of the ellipse to each focus.  The coordinates of the center and the two foci tell us c=4; that makes a, the semi-major axis, 3c = 12.<br>
a, b, and c in an ellipse are related by c^2 = a^2-b^2; that gives us b, the semi-minor axis, equal to 8*sqrt(2).<br>
The standard form of the equation of an ellipse with center (h,k), semi-major axis a, and semi-minor axis b is<br>
{{{(x-h)^2/a^2+(y-k)^2/b^2 = 1}}}<br>
You have all the numbers to fill in to write the equation.