For Exercise, an equation of an ellipse is given. a. Identify the center. b. Identify the vertices. c. Identify the endpoints of the minor axis. d. Identify the foci. e. Determine the eccentricity. f. Graph the ellipse. 15x2+ 9y2 = 135

Q: In an ellipse, the foci are at (-4, 3) and (4, 3) and one vertex is at (6, 3). How long is the major…

A:

Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,1);…

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

Q: . For the ellipse 1, the vertices are the points 25 and +

A: we have to fill in the blanks: for the ellipse x24+y225=1, the vertices are the points _______ and…

Q: Put the equation of the ellipse in standard form by completing the squqte. 5x2 + 3y2 + 10x + 24y –…

A: This question can be solved using the concept of standard equation of ellipse.

Q: Analyze the equation. That​ is, find the​ center, vertices, and foci of the​ ellipse, and graph it.…

A: the equation. That​ is, find the​ center, vertices, and foci of the​ ellipse

Q: Write an equation for a ellipse centered at the origin, which has foci at (±√12, 0) and vertices at…

A: Given

Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (5,4);…

A: To find the equation of ellipse

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

A: We will find all the above as shown below

Q: For Exercise, from the equation of the ellipse, determine if the major axis is horizontal or…

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Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and…

A: Given:            The equation of an ellipse a) (x - 3)236 + y + 22100 = 1b) 9x2 + 25y2 - 18x + 100y…

Q: Show work.

A: Consider the general ellipse:

Q: x? Let 25 y? 1 then find the end points of the minor and major axis for the graph of this ellipse.

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Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown.

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: For Exercise, write the standard form of an equation of the ellipse subject to the given conditions.…

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Q: Find the general equation of the ellipse given: covertices at (-1,2) and (-1,-4), focus at (1,-1)

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Q: Derive the equation for the ellipse with its center at (0,0), vertex at (0,13) and focus at (0,-12)

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Q: Graph the ellipse (x - 3)2 + 9(y + 2)2 = 18 and give the location of its foci.

A: the given equation of ellipse is  (x-3)2+9(y+2)2=18

Q: Analyze the equation. That​ is, find the​ center, vertices, and foci of the ellipse and graph it.…

A: We have analyze the given equation of ellipse.

Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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Q: Graph the ellipse and give the location of its foci.

A: Given equation of the ellipse is: x-229+y-124=1 To graph the ellipse and the locate the foci.…

Q: Translated to the right 6 units

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Q: Given the ellipse with equation below, state the coordinates of the center and determine the…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given,

Q: (x-3)² (v-2)² X : 1 25 9.

A:

Q: 5. Find the Foci and Vertices of the Ellipse and sketch it, if the Equation is 16x? + 64y? = 256 %3D

A: see the calculation

Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Given the following information, write the equation of the ellipse. Sketch and find the foci.…

A: Solution is given as below:

Q: How are the graphs of these ellipses similar, and how are they different? y? = 1 y? 1 36 144 36 144

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

A: Given: 1. (x-1)29+(y-5)24=1 2. x225+(y-6)236=1  3. (x+1)249+(y+2)225=1

Q: Graph the ellipse and give the location of its foci.

A: Given equation of ellipse is: The graph is as follows:

Q: Sketch the graph and find the foci of the given ellipse. 4x squared+9y squared=36

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Q: Graph and determine the coordinates of the foci, the vertices, the straight side and the…

A: x2+2y2-2x+8y+5=0⇒x2-2x+2y2+8y=-5⇒x2-2x+1+2y2+4y=-5+1⇒x-12+2y2+4y+4=-4+8⇒x-12+2y+22=4⇒x-12+2y+224=1⇒x…

Q: Sketch the ellipse, and label the foci, the vertices, and ends of the minor axis. 25(x+4)? + 4(y-1)²…

A: 25x+42+4y-12=100⇒25x+42+4y-12100=1⇒25x+42100+4y-12100=1⇒x+424+y-1225=1⇒x--4222+y-1252=1 Now…

Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Givenx=1+21-(y+2)29

Q: ned by the equation x2+5(y-2)2=5. a. What is the length of the major axis?

A: Given: The equation of the ellipse x2+5(y-2)2=5 .

Q: Use the equation of ellipse to determine if a truck can fit through a semi-elliptical archway. The…

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Q: Graph the ellipse and give the location of its foci.

A: Given: (x+2)216+(y−3)2=1

Q: x2 y? + = 1 36 49

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Q: Graph the ellipse and give the location of its foci.

A: x+329+y-22=1⇒x--3232+y-2212=1 Now comparing with x-h2a2+y-k2b2=1, we get h=-3,  k=2,  a=3  &…

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. 25x? + y + 25x –36y…

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Q: 1. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A: Explained below.

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given

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.