A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what horizontal distance from the center of the arch is the height equal to 14.3 feet? feet

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

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Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A: given: A one way road passes under an overpass in the shape of half an ellipse, 25 ft high at the…

Q: What is the length of the major axis of the ellipse defined by the equation: x2 + 5(y – 2)2 = 5?

A: The given equation is x2+5y-22=5 To find the length of the major axis of the ellipse.

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: 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 area of the general equation of the ellipse .

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

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Q: The distance between foci of an ellipse is 6 and its major axis is 10, find the length of the latus…

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse b2

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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: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

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Q: Write an equation for the ellipse that satisfies each set of conditions. 16. major axis 16 units…

A: Solution

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: State the formula for Ellipse in Standard Position.

A: The formula for Ellipse in Standard Position.

Q: Show that an ellipse has exactly 4 vertices, unless it is a circle.

A: Consider an equation of ellipse x2a2+y2b2=1 where a,b>0. In parametric form, its equation can be…

Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 + 9y2 = 144

A: Given 16x2 + 9y2 = 144

Q: A rectangle with sides parallel to the coordinate axes is inscribed in an ellipse (Figure 12a)…

A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

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Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: 2. is the width of the track 15 a from esther vertex? A jogging path is in the shape of an ellipse.…

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

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: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

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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…

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Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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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: A one-way road passes under an overpass in the shape of half an ellipse, 15 ft high at the center…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the…

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Q: In an ellipse, what are the two equal lengths that allow you to figure out the location of the foci?

A: In an ellipse, the foci can be find out with the lengths of the major and minor axes to find focu…

Q: Find the equation of the ellipse with the given properties: Vertices at (+25,0) and (0, 164)

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (6, -4) and (2, -4).

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Q: Find an equation of the ellipse that has center (0,-2), a minor axis of length 8, and a vertex at…

A: We have to find the equation of the ellipse.

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: The cross-section of a nuclear power plant's cooling tower is in the shape of a hyperbola. Suppose…

A: Cross - section of nuclear power plant

Q: The distance between foci of an ellipse is is 6 and its major axis is 10. Find the length of the…

A: distance between two foci = 2ae =6 major axis = 2a = 10 length of latus rectum = 2b2/a= 2a(1 - e2)…

Q: 3. An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet.…

A: In this question, we need to find how wide is the arch at a height of 8 feet above the base.

Q: Find an equation of the ellipse that has center (0, -3), a minor axis of length 12, and a vertex at…

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Q: As viewed from above, a swimming pool has the shape of the ellipse given by x? + 1600 900

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Q: A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a…

A: Answer is mentioned below

Q: Find the area of the largest rectangle that can be inscribed in the ellipse  x2/a2 + y2/b2 = 1.

A: Let (x,y) be a vertex of rectangle. Then, length of rectangle = 2x, width = 2y. Then area of…

Q: The cross section of a power plant cooling tower is in the shape of a hyperbola.  the base diameter…

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse 1.

A: To find the area of the largest rectangle

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (7, 3) and (3, 3). D=0…

A: Given data: The length of major axis is 2a=12. Foci are, (7,3) (3,3)

Q: Write an equation for the ellipse. foci at (-3, -1), (-3, -7); major axis length of 10 (+ 42 (x -…

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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.