Find the standard form of the equation of an ellipse with vertices at (0, -6) and (0, 6), passing through (2, -4). An Earth satellite has an elliptical orbit described by         (All units are in...

Find the standard form of the equation of an ellipse with vertices at (0, -6) and (0, 6), passing through (2, -4).

An Earth satellite has an elliptical orbit described by

(All units are in miles.) The coordinates of the center of Earth are (16, 0). a. The perigee of the satellite’s orbit is the point that is nearest Earth’s center. If the radius of Earth is approximately 4000 miles, find the distance of the perigee above Earth’s surface. b. The apogee of the satellite’s orbit is the point that is the greatest distance from Earth’s center. Find the distance of the apogee above Earth’s surface.