Advanced Placement (AP) Middle School

How does the numerical value of "e" change as the shape of the ellipse approaches a straight line?
subject: earth science
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Answers

Answer 1

In mathematics, "e" is a mathematical constant that represents the base of the natural logarithm. It is approximately equal to 2.71828. The value of "e" is constant and does not change based on the shape of an ellipse.

What is ellipse  about?

An ellipse is a shape that is defined as the set of all points in a plane such that the sum of the distances from the two foci to the point is constant.

An ellipse can be thought of as a squashed circle, with the distance between the foci being the long axis and the distance across the ellipse at its widest point being the short axis.

As the shape of an ellipse approaches a straight line (that is, as the distance between the foci becomes very large compared to the distance across the ellipse), the ellipse becomes more and more elongated and eventually becomes a line.

However, the numerical value of "e" does not change as the ellipse becomes more elongated. It remains constant at approximately 2.71828.

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Answer 2
None of them are right angle since there isn’t and angle on any of those measurements that are 90 degrees

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