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What are the foci of the following graph?

What are the foci of the following graph?-example-1

1 Answer

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Answer:

(±4√2, 0)

Explanation:

The center-to-focus distance along the semi-major axis is the root of the difference of the squares of the semi-axes. Here, that is ...

√(6² -2²) = √32 = 4√2

Since the center of the ellipse is at (0, 0), the foci are at (±4√2, 0).

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