Given the values ​​of a = 4, b = 3, determine the equation of the vertical ellipse.

Q: In the given equation as follows , find the center, foci, vertices, and eccentricity of the ellipse,…

A: The given ellipse equation is (x+4)2+(y+6)214=1

Q: In  the equation as given follows  , find the center, foci, vertices, and eccentricity of the…

A: The standard form of an equation of an ellipse is given by (x-h)2b2+(y-k)2a2=1, where a>b and the…

Q: Find an equation for the ellipse that satisfies the given conditions. Eccentricity: 1/3, foci: (0,…

A: To Determine: Find an equation for the ellipse that satisfies the given conditions. Given:…

Q: An elliptical riding path is to be built on a rectangular piece of property, as shown below. The…

A: The general equation of eclipse is x²/a² + y² / b² = 1

Q: Use the tenation provided to write the stondar form equation of each ellipse.

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Q: Graph the ellipse and locate the foci.

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Q: What is the length of the minor axis of the ellipse given by the equation = 1? 169 64 O 64 units O…

A: The equation of the ellipse is given by x2169+y264 = 1…

Q: For Exercise, from the equation of the ellipse, determine if the major axis is horizontal or…

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Q: Given: Foci: (2,1) (10,1) c = 4 a=? b=? Center: (6,1) Find the standard form of the ellipse

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Q: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 16x2…

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

A: The length of the major axis which is vertical is 10 The length of the minor axis is 4 Center (-2,…

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: If the diameter of the parabolic mirror is 100 meters and the sunlight is focused 25 meters from the…

A: It is given that the diameter of the parabolic dish is 100 m and the focus of the dish is 25 m.

Q: Given an ellipse with the equation x2 y² = 1, the distance between the foci is 32 36 A. 2 units B. 3…

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Q: Determine the standard equation of the ellipse using the stated information.   Foci at (8,−1) and…

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Q: State the formula for Ellipse in Standard Position.

A: The formula for Ellipse in Standard Position.

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: The foci of the ellipse with given equation 25 1 are 36 II +

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Q: Find the eccentricity and equation of the ellipse if the length of the latus rectum is…

A: Let the length of major axis of the ellipse be = 2a The length of minor axis of the ellipse be = 2b…

Q: An elliptical garden is surrounded by stone walkway as shown below. Find the equation of the ellipse…

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Q: Given an equation of an ellipse, solve for the following values. 16x? + 25y? – 64x + 150y = 111 a.…

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Q: Given the ellipse with equation below, state the coordinates of the center and determine the…

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Q: The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

A: The given dimensions are, 46 feet wide by 96 feet long as shown in Figure. Here, 96/2 = 48 and 46/2…

Q: (x-3)² (v-2)² X : 1 25 9.

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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: Find an equation for the ellipse that satisfies the given conditions. Eccentricity: foci: (0, ±3)

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Q: Given the following information, write the equation of the ellipse. Sketch and find the foci.…

A: Solution is given as below:

Q: An ellipse is centered at the origin with a horizontal major axis length of 14 units and a vertical…

A: 2a= 14 a= 7 2b= 8 b= 4

Q: Find the equation of the ellipse shown.

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Q: What is the length of the major axis of ellipse given by the equation y? =1? 144 81 O 18 units O 9…

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Q: Please solve both question parts, as shown in the provided pictures. For #1, find which one is an…

A: We first confirm all the fomulas of hyoerbola ,parabola ,ellipse,circle .Then chose the correct…

Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (1,4);…

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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: Given the ellipse 25 y? =D1 16 List the coordinates of the foci.

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Q: For Exercise, determine the eccentricity of the ellipse. y? 100 64

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Q: Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (4,5);…

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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 equation of the diameter of the ellipse.

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Q: Enter the amounts a? and b2 into the equation below so that the ellipse it describes matches the…

A: Explanation of the answer is as follows

Q: In the shown ellipse, the distance from the center to any of the two foci is Select one: O a. 4/3 O…

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Q: x2 y? + = 1 36 49

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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: Analyze the equation. That is, find the center, vertices, and foci of the ellipse and graph it. 25x2…

A: Given equation is 25x2+y2=900. First of all we will find the coordinate of the center. Rewrite…

Q: 10

A: by given graph we can see that center of ellipse is 5,-3, length of major axis is 8 and length of…

Q: Find an equation for the ellipse with foci: (0,±4) and eccentricity 4/5

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