Complete the sentence below. If the center of an ellipse is (3, - 4), the major axis is parallel to the x-axis, and the distance from the center of the ellipse to its vertices is a =5 units, then the coordinates of the vertices are and If the center of an ellipse is (3, -4), the major axis is parallel to the x-axis, and the distance from the center of the ellipse to its vertices is a =5 units, then the coordinates of the vertices are V and

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

A:

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: Q#03: a. Write an equation of an ellipse whose major axis is vertical, with the center located at…

A: The equation of an ellipse centered at (h, k) is (x−h)2a2+(y−k)2b2=1. From given information center…

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

A:

Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given…

A: We have to find the focci of an ellipse

Q: What are the vertices of this ellipse? -8 -6 -2

A: From the figure, The end points of midline is vertex of an ellipse.

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: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

Q: Write the equation of the ellipse that is centered at (3, 3) and contains the following points:…

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Q: Which graph represents the ellipse represented by the equation (x−4)^2/4 + (y−1)^2/25=1?

A: Given (x-4)24+(y-1)225=1

Q: 8 -7 -6 -4 -3 to it

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Q: 13. Write the equation in standard form for an ellipse. Graph the ellipse. 4x2 - 16x + 9y2 + 54y +…

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Q: Find the equation of the ellipse with foci and 0, and vertices (0, - 2) and (0,2). O x? y2 1 4 %3! O…

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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: Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the…

A: Here we have to find the standard equation of an ellipse if the foci are -7,6 and -1,6, the sum of…

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

A:

Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 - 4x + 9y2 +…

A: Given equation of ellipse is: x2 - 4x + 9y2 + 54y + 76 = 0 Then rearranging the terms we get,…

Q: Find the center, foci, and vertices of the ellipse (x – 2)² (y + 1)? = 1 9 13

A: Given the ellipse: x-229+y+1213=1

Q: Identify the center, the vertices, and the foci of the ellipse. 4x2+y2–16x – 6y +21=0

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Q: Write the equation of the ellipse that has a center at ( - 3, – 5), a focus at ( - 9, – 5), and a…

A:

Q: Complete the sentence below. If the center of an ellipse is (3, – 4), the major axis is parallel to…

A: To find :coordinates of vertex of ellipse

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

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Q: Complete the sentence. For the ellipse 4 * 25 + = 1, the vertices are the points, and x? ? 4 25 For…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 2x2 + 7y2 = 28

A: Ellipse is basically a plane curve around 2 focal points such that for all points on the curve, the…

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 an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: If the foci of an ellipse are ( - 4, 4) and (6, 4), then the coordinates of the center of the…

A: Given: foci of an ellipse are ( - 4, 4) and (6, 4)

Q: Find the center of the ellipse with the equation 49 (x-3)2 (y-2)? 64 1. ||

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Q: Draw the ellipse with the equation: 2?2 + ?2 + 4? − 9? = 7

A: Given information: 2?2+?2+4?-9?=7

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 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: If the center of an ellipse is (3, -2),the major axis is horizontal and parallel to the x-axis and…

A:

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

A:

Q: Determine the ends of the minor axis of the following ellipse: .(x+3)² (y+4)² = 1 16 25 O (-7, -4)…

A: Use ellipse concept

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

A:

Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

A:

Q: Write the equation of the ellipse that has a center at (−6,−2)(-6,-2), a focus at (−8,−2)(-8,-2),…

A: The equation of an ellipse is  (x−h)2a2+(y−k)2b2=1     ; (for a horizontally oriented…

Q: Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3),…

A: Here we have to find the equation of an ellipse.

Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x +…

A: We have to find the equation of ellipse

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: What is the center of the ellipse with the equation (x-7)2+ (y+4)2 23. = 1? 16 25 a. (7,4) b. (-7,4)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: 6. What is the length of the major axis of the ellipse with the equation (x-1)? +(y-3)=9? 4. a. 2 b.…

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Q: b.Write an equation of an ellipse with its center at (-2,1), one vertex at (1,1), and one co-vertex…

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Q: Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3,…

A: Ellipse

Q: The coordinates of the center of an ellipse defined by the equation 16x² +25y² + 160x – 200y+ 400 =…

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Q: IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: What is the distance between the vertices of the ellipse: 64x^2 + 25y^2 _ 16x - 16y-648= = 0? C.…

A:

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.