Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 16, length of minor axis: 14, foci on x-axis, centered at the origin

The equation that satisfies the given conditions is:

x²/16 + y²/14 = 1.

Step-by-step explanation:

The general equation of an ellipse is given by

(x - h)²/a² + (y - k)²/b² = 1, where (h, k) is the centre, in this case (h, k) = (0, 0) since it is centered at the origin. Therefore, we have just

x²/a² + y²/b² = 1.

Since the foci is on x-axis, then the major axis is on x. Therefore, a² = 16 and b² = 14, since 16 and 14 are the major and minor axes respectively. Hence, our equation that satisfies the given conditions is:

x²/16 + y²/14 = 1.

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step-by-step explanation:

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