For the Ellipse 4x+y-32x-18 y=-120 Find the following: The center is = The upper Vertex is ( The lower Vertex is ( The length of major axis is and the length of minor axis is The equation of major axis is x= and the equation of minor axis is y= The upper Focus is ( The lower Focus is (

Q: (20 mar If (4x +9y - 34 = 2) is the equation of ellipse, its center in the origin point, find the…

A: Given the equation of the ellipse is ,  4x²+9y²-34=2 4x²+9y² = 36 Dividing the equation by 36, x²/9…

Q: The equation of an ellipse is given by the following. (x+3)2/25 + y2/4 = 1 Identify the…

A: Consider the equation of ellipse, x+3225+y24=1 Comparing the given equation of ellipse with standard…

Q: Find an equation for the ellipse whose graph is shown. y F(0, 4) 4

A: find explanation below

Q: Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4,…

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Q: the equation of the ellipse is given by 4x^(2)+9y^(2)+24x-18y+9=0.find its center,semi axis,and the…

A: Given equation, 4x2+9y2+24x-18y+9=0                         ...(1)

Q: Find an equation for the ellipse shown in the figure. y V (-8, 1) М-3, 4) 5 V(2, 1) - 10 -5 M(-3,…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 + 6x + 4y2 -…

A: Given: Ellipse: x2+6x+4y2-16y+9=0 To Find: The length of the major axis and the length of the minor…

Q: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, one the foci is ___.

A: For the ellipse; 4x2 + y2 + 24x -2y +21 = 0 one the foci is ... Here i attached solution of this…

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and…

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Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 -…

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To…

Q: Find the equation of the vertical ellipse that is centered at ( 16, 24), passes through the point (…

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Q: For the ellipse x2 + 4y2 = 16, find the length of the major axis.

A: We have to find the length of major axis of the given equation of ellipse: x2+4y2=16 Rewriting the…

Q: If ( 4x + 9y- 34 = 2) is the equation of ellipse, its center in the origin point, find the…

A: Given equation of ellipse is: 4x2+9y2-34=2 It can be re-written as:…

Q: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: Which of the following is the standard form of the ellipse 3x2 + 4y? - 36x + 32y + 160 = 0? (x-6)…

A: We have to find the form

Q: Find the length of major axis of the ellipse x^2+4y^2-2x-8y+1=0

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Q: The center of an ellipse is (-9,3). One focus is (-13, 3). The major axis is 18 units long. What is…

A: This is a simple question based on ellipse which could be solved using the basic knowledge of the…

Q: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, find the center.

A: 4x2+y2+24x-2y+21=0

Q: b) For the ellipse 9x+ 2y2 18, find the vertices ,foci, semi major and semi minor axes, and sketch.

A: Given:          9x2+2y2=18 Ellipse standard equation        x-h2a2+y-k2b2=1 is the ellipse standard…

Q: Find the equation of the ellipse whose foci are at (7,3) and ( 21,3),and the length of its major…

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Q: find the equation of the ellipse obtained by translating (as indicated) the ellipse (x − 8/6)2+(y +…

A: Given equation of ellipse is  x-862+y+432=1

Q: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: find the equation of the ellipse obtained by translating (as indicated) the ellipse(x − 8/6)2+(y +…

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Q: The ellipse given by the equation 30x^2+5y^2+40y=120x-50 The center is: ? It has foco at: ? and ?…

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Q: 9x2 + y2 + 108x - 8y + 331 = 0  Graph the ellipse and determine the foci.

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Q: Given the ellipse (z- 4)2, (y+3)² 144 16 what are the vertices and co-vertices of the ellipse?

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Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

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: for the ellipse, 4x^(2)+y^(2)+24x-2y+21=0, find the equation of one of the directrices

A: GivenEquation of ellipse4x2+y2+24x-2y+21=0To calculate: Equation of one of the…

Q: For the Ellipse x?+4y -16 x-24 y = -19 Find the following:

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Q: 35. Find the foci of the ellipse. 6x2- 12x + 3y + 24y = -36

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Q: For the ellipse x^2/25+y^2/9=1​, the value of a is​ _____, the value of b is​ _____, and the major…

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Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 5)2 (y – 1) 1 - -…

A: Definition used -          For an ellipse -…

Q: : Find the equation of the ellipse x2 + 2x +4y² - 24y = -32, then find the rtex, length of the major…

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Q: For the equation 9x² – 8y² +36x +64y=164 a. Determine whether the equation represents an ellipse, a…

A: the given equation is 9x2-8y2+36x+64y=164 rewrite…

Q: Find the equation of the ellipse whose foci are at (2,1 ) and ( 6,1),and the length of its major…

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Q: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: for the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the vertices

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Q: Find the equation of the minor axis of the ellipse x² +4 y -8x-8y= 44 Select one: Oy = 1 Oy=3 O None…

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Q: One of St. Matthew's Hall is 10 feet wide and has a semi- ellipse ceiling. The ceiling is 6 feet…

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Q: for the ellipse, x^(2)+y^(2)+24x-2y+21=0, find the center

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Q: What is the standard form of the ellipse whose equation is 8z+6y+16z - 3y+4 0? Drag an expression…

A: Solved below

Q: For the Ellipse 4x² + y² - 72 x - 14 y = -348 Find the following: The center is = ( The upper Vertex…

A: Convert to standard equation of ellipse.

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

A:

Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

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

A: Given equation of ellipse is (x-2)29+y-124=1

Q: Draw the ellipse with the equation: 2x2 + y2 + 4x − 9y = 7.

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Q: For the ellipse x^2/4+y^2/25=1, the vertices are the points​ ______ and​ ______.

A: Solve as shown below

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.