Given the ellipse with equation below, state the coordinates of the center and determine the coordinates of the vertices, co-vertices and foci. A sketch is not required but it may be helpful. (x – 2), (y + 5) = 1 16

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A: The given ellipse equation is (x+4)2+(y+6)214=1

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A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

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A: Given Center (1,1) Minor axis vertical with length 16 c=6

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Q: (y + 6)? - = 1 1/4 28. (x + 4) +

A: Please refer the attached image for complete solution.

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A: Given that vertices of ellipse V=±8,0  and focii=±5,0We know that if ±a,0 be vertices of ellipse and…

Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

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A: The center of the ellipse is 0,0. The vertices of the ellipse are  0,7 and 0,-7. The focus of the…

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A: Vertices V (0,±5), minor axis of length 3

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A: Given y coordinate is zero hence given ellipse is horizontal ellipse

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A: Given, Foci: F(0,±2),  vertices: (0,±5)

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A: Solution:-

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

A: x-3216+y+429=1 Comparing with x-h2a2+y-k2b2=1, we get h=3,  k=-4,  a2=16  &  b2=9⇒h=3,  k=-4,…

Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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A: Major axis is parallel to y axis. So the standard form will look like:

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.4x2 + y2 = 16

A: 4x2+y2=16equation of ellipsex2a2+y2b2=14x2+y2=16dividing both sides by16 both sides…

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Q: () and (.0) and 13. Vertices at one

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F0 vertices:(0

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Q: Find an equation for the ellipse that has its center at the origin and satisfies the given…

A: To Find an equation for the ellipse that has its center at the origin and satisfies the given…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (+8, 0), vertices: (+10,…

A: I am attaching image so that you understand each and every step.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.