If ( 4x + 9y- 34 = 2) is the equation of ellipse, its center in the origin point, find the coordinates of the two focus and vertices with graph.

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: Write the equation of the ellipse that has a center at (- 6, 3), a focus at (– 2, 3), and a vertex…

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Q: Graph the ellipse x2/25 + (y - 2)2/36 = 1 and give the location of its foci.

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Q: Graph the ellipse 4x2 + 9y2 + 24x - 36y + 36 = 0 and locate the foci.

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Q: Find the equation of an ellipse with focus at (-6,-2), co-vertex at (-1,5) and a horizontal major…

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Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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Q: Find an equation for the ellipse whose graph is shown. y (8, 6) 16

A: Observe that from the given figure, it is an ellipse with a horizontal major axis, a=16 and a point…

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse  Consider the graph

Q: 20) Write the equation of the ellipse 4x +9y +24x 162y + 729 = 0 in standard form and then graph the…

A: Given the equation of the ellipse, 4x2+9y2+24x-162y+729=0

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-2,0),…

A: Given:

Q: Graph the ellipse and locate the foci: 4x2 = 36 - 9y2

A: Consider the given ellipse equation that is 4x2+9y2=36.Express the above equation in standard form…

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

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Q: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

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

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

Q: Graph the ellipse 6x2 = 30 - 5y2 and locate the foci.

A: Consider the equation of ellipse: 6x2=30-5y2. Convert the equation of ellipse in the standard form…

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: Write the equation of the ellipse that has a center at (- 4, - 5), a focus at (– 1, – 5), and a…

A: The general equation of an ellipse centered at a point (h,k) with major axis parallel to the x axis…

Q: Q2) Put the equation (3x +(y-2) = 3) in standard form and sketch the ellipse.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Convert the equation 4x2 + 25y2 - 24x + 100y + 36 = 0 to standard form by completing the square on x…

A: Given: 4x2+25y2-24x+100y+36=0 for converting given expression in standard form, we simplify it so,…

Q: Write the standard equation of an ellipse whose general equation is x² + 4y² + 6x - 16y + 17 = 0.…

A: Standard form of an ellipse with vertex at (h,k) is given by, (x-h)²/a² + (y-k)²/b²= 1

Q: Find an equation of the ellipse that has center (1, -3), a minor axis of length 2, and a vertex at…

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Q: Find the foci of the ellipse 16x2 + 9y2 = 144, and sketch its graph.

A: Given,          ellipse=16x2+9y2=144First we put the equation in standard form.Dividing by 144, we…

Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

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: Graph the ellipse 9x2 + 4y2 - 18x + 8y - 23 = 0 and locate the foci.

A: Solution: Consider the given equation of the ellipse 9x2 + 4y2 -18x + 8y -23 = 0 Complete the square…

Q: Find the endpoints of the minor axis and the foci of the given ellipse  16x2+9y2+36y-108=0

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Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 6, and a vertex at…

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Q: Find an equation of the ellipse that has center (-3, 2), a minor axis of length 6, and a vertex at…

A: eq. of ellipsex-h2b2+y-k2a2=1,  where h,k is center of ellipse.

Q: Graph the ellipse and locate the foci: 9x2 + 4y2 - 18x + 8y - 23 = 0

A: Given:            9x2+4y2-18x+8y-23=0 Find the general form of the conic.…

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

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Q: Q2) Put the equation (3x2 + (y – 2)2 = 3) in standard form and sketch the ellipse

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

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Q: Write the equation of the ellipse that has a center at (- 4, 3), a focus at (- 7, 3), and a vertex…

A: Answer is mentioned below

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 for the ellipse whose graph is shown. y 3 | 4

A: Equation of ellips is determined

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

A: The given equation of ellipse is 25x2+150x+y2-8y+216=0. Rewrite the ellipse in its standard form as…

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: Which of the following equations represents an ellipse with X-intercepts ±3 and Y-intercepts ±2?

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

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Q: Sketch a graph of the ellipse 9x^2+2y-54x+y^2+46=0 and determine the coordinated of the foci, the…

A: Given, This an equation of an ellipse.

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: 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: 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

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.