The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the distance (in m) between its foci?

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: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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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: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,1);…

A: Given Center (1,1) Minor axis vertical with length 16 c=6

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: Consider the ellipse with the given characteristics. foci: (0, 0), (0, 10); major axis of length 18

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (5, –2). and (1, -2).

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Q: A racetrack is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet…

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (0, 7) and (0, 3). D=0

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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: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (2, -2) and (2, –8).…

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Q: Find an equation of the ellipse having a major axis of length 8 and foci at (6, 3) and (0, 3). OP…

A: Given query is to find the equation of ellipse.

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (−5, −1) and (−5, −5).

A: Here the y coordinate of the focus is Changing so we can say that major axis of the ellipse is…

Q: Write the equation for the ellipse of the foci F1 (1, 1), F2 (−2, 1) and the sum of the focal rays…

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Q: As viewed from above, a swimming pool has the shape of the ellipse given by

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Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (410,…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Find the standard form of the equation of the ellipse with the given characteristics…

A: To find the standard form of the equation of ellipse

Q: If the major axis of an ellipse is 26 units in length and the minor axis is 10 units in length,…

A: Major axis of ellipse is a = 26 and minor axis is, b=10Therefore, the eccentricity of ellipse is…

Q: The distance between the vertices of an ellipse is 10. The distance between the foci is 6. What is…

A: Given query is to find the distance between directrices.

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (1, –5) and (-5, -5).…

A: We have to find equation of ellipse having major axis of length 12 and foci at (1, -5) and (-5, -5)…

Q: Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the…

A: The standard form of an ellipse centered at origin helps to find the required equation of the…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (1, 4) and (1, 0).

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Q: Find an equation for the ellipse that satisfies the following conditions. Center:0,0, Major axis…

A: Given  center (h,k)=(0,0) Major axis a=6 Minor axis b=4 Foci on X axis  therefore equation of…

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 4) and (-4, 4). 몸…

A: See the details solution in below

Q: Find the eccentricity of an ellipse whose latus - rectum is (i) Half of its minor axis (ii) Half of…

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Q: 5. Explain the distinguishing feature of the distance between the foci and a point on the ellipse.

A: Every ellipse has two axes of symmetry. The foci always lie on the major axis, and the sum of the…

Q: Find the standard form of the equation for the ellipse centered at (0,0), having vertical major axis…

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Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 5) and (0, 1). =D ?

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 3) and (-6, 3).…

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Q: Find the standard form of the equation of the ellipse with the given characteristics.  Foci:…

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

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Q: 2. A carpenter is cutting a 3 ft. by 4 ft. elliptical sign from a 3 ft. by 4 ft. piece of plywood.…

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Q: Use the definition of the ellipse to obtain the Cartesian equation.

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Q: The line segment perpendicular to the major axis, with endpoints on the ellipse, and passing through…

A: To find the axis where the line segment perpendicular to the major axis, with endpoints on the…

Q: Find the standard form of equation of the ellipse that satisfies the given conditions. a. Center at…

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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 standard form of the equation of the ellipse with the given characteristics and center at…

A: Given: Foci of an ellipse: (±5, 0) Major axis of length 18. Center of an ellipse is at origin.

Q: Find the equation of the given ellipse. Foci at (+16, 0) and endpoints of the major axis at (+34,…

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Q: A carpenter wants to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. She…

A: to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood.

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: Find the equation (in Graphing Form) of the ellipse with Foci (0,#9) and 30 as the sum of its focal…

A: Given :                    Foci (0,±9)sum of foci = 30 To find :               equation of ellipse

Q: Find an equation of the ellipse having a major axis of length 8 and foci at (5, -3) and (-1, -3).…

A: Finding the equation of ellipse

Q: Find the standard form of the equation of the ellipse with the given characteristics. Foci: (0, 0),…

A: Here  , We  will find the equation of the ellipse using the general equation of the ellipse.

Q: Determine the eccentricity of an ellipse whose foci and directrices are 4 units and 9 units apart,…

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

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

Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). O + = 1…

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