Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by sixty four = 1.

Step-by-step explanation:

The general equation of an ellipse is:

(x − h)²/a² + (y − k)²/b² = 1

where (h, k) is the center.

If a > b, the ellipse is horizontal, so the vertices are at (h ± a, k), and the foci are at (h ± c, k), where c² = a² − b².

If b > a, the ellipse is vertical, so the vertices are at (h, k ± b), and the foci are at (h, k ± c), where c² = b² − a².

x²/100 + y²/64 = 1

The center is (0, 0).

This is a horizontal ellipse, so the vertices are at (-10, 0) and (10, 0).

The distance between the foci and the center is c = √(100 − 64) = 6, so the foci are at (-6, 0) and (6, 0).

Graph: desmos.com/calculator/kd6z9qvhi0

think about it deeply and passionately about this property

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answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: