Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-2,0), (2,0); x-intercepts: -5 and 5

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-2, 0) and (2, 0); length of…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions, Foci: (0,…

A: Consider the given information.Foci = (0,±3) and Vertices =(0,±6)   The standread equation of the…

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: Find the standard form of the equation of each ellipse satisfying the given conditions. Foci:…

A: The equation of the ellipse with center 0,0 is of the form x2a2+y2b2=1 where the length of the major…

Q: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

A: The equation of an ellipse is of the form x2a2+y2b2=1if a>b…

Q: Find the center, foci, vertices of the ellipse and sketch its graph 9x^2+4y^2+36x-24y+36=0

A: the equation of an ellipse is given in standard form: (x−h)2/a2+(y−k)2/b2=1

Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Convert the equation: 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: Given: 4 x2+y2-24x+6y+9=0 To determine: Standard form of equation & graph of ellipse &…

Q: Find the center, foci,and vertical of the ellipse. x^2/49+y^2/16=1

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Q: Find the equation of the ellipse in general form given the condition: The sum of the distances from…

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Q: Graph the ellipse and locate the foci: y2/25 + x2/16 = 1

A: Given: y225+x216=1 we know that standard equation of an ellipse is given by x2a2+y2b2=1 if b2>a2…

Q: Convert the equation 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and…

A: 4x2+y2-24x+6y+9=0

Q: Find the standard form of the equation of an ellipse with the given characteristics. 1. Foci: (-4.…

A: Given- Focii of the ellipse are 4,0 and -4,0. To Find- The standard form of the ellipse. Identity…

Q: Convert the equation 4x2 + y2 + 16x - 6y - 39 = 0 to standard form by completing the square on x and…

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

Q: Find the standard form of the equation, center, vertices and foci of the ellipse. Sketch its graph,…

A: Answer and explanation is given below...

Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

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Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

Q: 3. Write the equation of the ellipse plotted below. What are its foci, F, and F2. Show your…

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Q: Determine the standard equation of ellipse and find its center,foci,covertices and vertices and…

A: The standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where; center: h,k Where, a,b is the…

Q: Find the equation of the ellipse with the following properties. Express your answer in standard…

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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 an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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Q: Convert the equation 49x2 + 16y2 + 98x - 64y - 671 = 0 to standard form by completing the square on…

A: Given equation is 49x2+6y2+98x-64y-671=0 To convert the given equation into standard from by…

Q: Find the standard form of the equation of each ellipse satisfying the given conditions Foci:…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. x²-6x+9y²+54y+9=0

A: The solution are next step

Q: Find the equation in standard form of the ellipse whose foci are F1(-8, and F2(8, 0), such that for…

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Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

Q: Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (5, 0)…

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

A: The equation of ellipse is given as , x216+y264=1 find coordinates of center , vertices ,…

Q: convert the equation to the standard form for an ellipse by completing the square on X and Y. State…

A: First we separate the x and y terms and then take out the coefficient of x2,y2

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci:…

A: Given,           Foci: (0, -6), (0,6); Vertices:(0, -8), (0,8)Since, the foci and vertices have the…

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

A: Given equation is  x=4525-y2

Q: Find the equation of the ellipse with foci (0, -1) and (8, -1) and vertex (9, -1).

A: Center is the middle point of the foci a= distance of vertex from the center= distance between…

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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Q: Express the equation of the ellipse given in standard form. Identify the center, vertices,…

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

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Q: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.y2 + 9x2 = 9

A: Given equation of ellipse is y2+9x2=9. To find the vertices and foci of the ellipse and sketch its…

Q: Given the ellipse whose equation is 16x^2+49y^2+96x-196x-444=0. Locate the center, vertices,…

A: We will solve the problem

Q: Find an equation of the ellipse with vertices (±4, 0) and foci (+2,0). (A 16 y2 = 1 12 B = 1 16 y2 =…

A: Topic:- ellipse equation

Q: Convert the equation 9x2 + 16y2 - 18x + 64y - 71 = 0 to standard form by completing the square on x…

A: Given equation is: 9x2 + 16y2 - 18x + 64y - 71 = 0 (9x2 - 18x) + (16y2 + 64y) - 71 = 0 (9x2 - 18x +…

Q: Convert the equation 9x2 + 25y2 - 36x + 50y - 164 = 0 to standard form by completing the square on x…

A: Consider the given equation, 9x2+25y2-36x+50y-164=0 complete the square on x and y as follows,…

Q: Find an equation for the ellipse whose graph is shown. y F(0, 2) 2

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Q: Convert the equation to standard form by completing the square on x and y. Then graph the ellipse…

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Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Q: Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8)…

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

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.