six precal questions please helppppp

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six precal questions please helppppp

1.

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. (2 points)

Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-8, 0), (8, 0)

Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -8), (0, 8)

Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-6, 0), (6, 0)

Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -6), (0, 6)

2.

Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18. (2 points)

Center: (0, 0); Vertices: point zero comma negative square root of six and point zero comma square root of six ; Foci: Ordered pair zero comma negative square root three and ordered pair zero comma square root three

Center: (0, 0); Vertices: point negative square root of six comma zero and point square root of six comma zero. ; Foci: Ordered pair negative square root three comma zero and ordered pair square root three comma zero

Center: (0, 0); Vertices: (-6, 0), (6, 0); Foci: Ordered pair negative three square root three comma zero and ordered pair three square root three comma zero

Center: (0, 0); Vertices: (0, -6), (0, 6); Foci: Ordered pair zero comma negative three square root three and ordered pair zero comma three square root three

3.

Graph the ellipse with equation x squared divided by forty nine plus y squared divided by thirty six = 1. (2 points)

A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at, zero, seven and, zero, negative seven and minor axis endpoints at, negative six, zero and, six, zero.

A vertical ellipse is shown on the coordinate plane centered at, seven, six with vertices at, seven, thirteen, and, seven, negative one and minor axis endpoints at, one, six and, thirteen, six.

A horizontal ellipse is shown on the coordinate plane centered at the origin with vertices at, negative seven, zero and, seven, zero and minor axis endpoints at, zero, six and zero, negative six.

A horizontal ellipse is shown on the coordinate plane centered at, seven, six with vertices at, zero, six and, fourteen, six and minor axis endpoints at, seven, zero and, seven, twelve.

4.

Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 10. (2 points)

x squared divided by nine plus y squared divided by five = 1

x squared divided by five plus y squared divided by nine = 1

x squared divided by twenty five plus y squared divided by eighty one = 1

x squared divided by eighty one plus y squared divided by twenty five = 1

5.

An elliptical riding path is to be built on a rectangular piece of property, as shown below.

A vertical ellipse is shown centered on the coordinate plane, surrounded by a rectangle of equal length and width.

The rectangular piece of property measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides. (2 points)