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# Math Help?

What is the constant sum of the ellipse with foci at (-5, 0) and (5, 0) that passes through the point (5, 4)?

### 1 Answer

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- PopeLv 73 years agoFavorite Answer
Let the foci be F(-5, 0) and G(5, 0), and let a point on the curve be P(5, 4).

For any other point on the curve, the sum of its distances from the foci is equal to this constant:

PF + PG

Use the distance formula.

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