2. is the width of the track 15 a from esther vertex? A jogging path is in the shape of an ellipse. If it is 120 A long and 40 A wide, what Answer 26 46 t

Q: Sketch the graph and find the foci of the given ellipse 25x squared + 4y squared=100

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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…

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Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has a height of 16 feet. How…

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

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

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 4x2 + 25y2 = 100

A: To find the length of the major axis and the length of the minor axis of each ellipse.         4x2 +…

Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: 5. What is the length of the major axis of ellipse given by the equation *+ =1? 144 18 units 12…

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Q: A racetrack is in the shape of an ellipse, 100 feet long and 70 feet wide. What is the width 10 feet…

A:

Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has the height of 16 feet.…

A: Solve for the

Q: 2. Find the dimensions and area of the rectangle with largest area that will fit inside the ellipse…

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Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: A racetrack is in the shape of an ellipse 100 feet long and 50 feet wide. What is the width 10 feet…

A: Given that shape of ellipse is 100 feet long and 50 feet wide. Draw a rough sketch showing the given…

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11…

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

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Q: Find the vertices and foci of the ellipse: 49x2 + 9y2 = 441(Round to the nearest tenth if…

A: For the standard form of ellipse x2a2+y2b2=1, vertices will be ±a, 0 or (0, ±b) as per a>b or…

Q: What is the height of the tallest rectangle with a width of 6 units that can fit inside an ellipse…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 + y2 = 64

A: An ellipse is a closed figure whose general equation is of the form (x-h)2a2+(y-k)2b2=1 wherein the…

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

A: Consider the provided ellipse, x225+y-2236=1 Graph the ellipse and give the location of its foci. We…

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: The area of the ellipse of b? 2 + = 1 is 32π. If a=2b, what is the value b2

A: Given that the standard question of ellipse and area of the ellipse is 32(pai) where a=2b  To find…

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: 10. What is the radius of the circle that has an area equal to that of the ellipse+¹=1 64

A: Follow the procedure given below.

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: A certain bridge arch is in the shape of half an ellipse 134 feet wide and 34.6 feet high. At what…

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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: 4. The line segment with endpoints at the vertices of an ellipse is called the axis.

A: A conic section is obtained by the intersection of a plane with the surface of a cone. The three…

Q: A wire has a shape of an ellipse described by 4r2 + y? = 8. The tempe

A: Given, a wire has a shape of an ellipse described by                                    4x2+y2=8.…

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: What is the length of the minor axis of an ellipse with foci 16 units apart and a major axis length…

A: We have  length of major axis 2a=20 units               length of foci of ellipse 2c=16 units…

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

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Q: ow that, the equation 3x -y + 5x – 2 = 0 repr ngent at the vertex, directrix, latus rectum, len…

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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: Find the dimensions of a rectangle with a maximum perimeter that can be inscribed in the ellipse 4x…

A: Given ellipse 4x2+9y2=36                ->Equation(1)Let (x,y) be the upper right corner of the…

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: How far from the vertex should the light bulb be placed?

Q: the sum of the distancas of any point on the ellipse (x+4)2 169 I from the foci is 144

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Q: Identify the graph of the ellipse given by *+7*,-) 49 25 16- 14 12 10-

A: The answer is option 3

Q: The reflector of a flashlight is in the shape of a parabolic surface. The casting has a diameter of…

A: Here we use the concept of conic section

Q: An ellipse, centered at the origin, has one vertex at ? = (4, 0) and another vertex at ? =(0, 2).…

A: Let one vertex of the ellipse is at A4,0 and another vertex is at B0,2 and it is centered at the…

Q: What is the length of the major axis of ellipse given by the equation 81 + =1? 144 24 units 9 units…

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Q: 10. Find the area of the largest rectangle that can be inscribed in the ellipse 16x2 + 36y² = 576.

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Q: An ellipse is a circle if and only if a-b equals what?

A: Given that an ellipse is a circle.

Q: Find the vertices and foci of the ellipse: 6. (x-1) (y+3)? = 1. Round to nearest tenth if…

A: Given- x-129+y+3236=1 To Find- The vertices and focii of the ellipse.

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: Find an equation of the ellipse that has center (2, -4), a minor axis of length 2, and a vertex at…

A: Trace the equation

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: Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

A: Consider the ellipse  5x−12+4y−12=25

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

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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.