Question: 4 7 4 . Let F = ( 9 , 0 ) and choose a point P that fits the equation 1 6 x 2

474. Let F =(9,0) and choose a point P that fits the equation 16x 2+25y 2=3600. Confirm that the distance from P to F is exactly three fifths the distance from P to the vertical line x =25. Repeat this verification for two more points P that fit the equation. Calculate a and c for this ellipse, to show that its eccentricity is 3/5.

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