An ellipse has the equation 16x2 + 9y2 – 32x – 128 = 0. Its eccentricity is:

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: What is the eccentricity of an ellipse 9x2+y2+18x-12y-180=0

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Q: An ellipse in standard position has the equation 16x^2 + 36y^2 - 576 = 0.  Find the coordinates of…

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Q: O Does the origin lie inside or outside the ellipse with equation (x – 4) 2 + 4(y - 3) 2 = 4?

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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: 1. What is the equation of this ellipse? -5 --5 10 O (2+2)? (y+4)° 1 81 O 부+ (y 4) 1 -2)2 81 O + = 1…

A: Use the property of ellipse center and major and minor axis.

Q: 6. Write an equation for an ellipse if the endpoints of the major axis are at (1, 6) and (1, –6) and…

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

Q: Write the equation of an ellipse centered at (1, -2) whose minor axis has length 6 and horizontal…

A: We can find the equation of ellipse using the given data as below.

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

A: Standard form of an ellipse

Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

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Q: Determine if 9x + 25y² = 225 is an ellipse. %3D O Not an Ellipse Ellipse, we can write the equation…

A: Given  equation,        9x2+25y2=225

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 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: 1. Find the center, the vertices, foci, and eccentricity of the ellipse given by the equation a) 3x2…

A: The given equation of ellipse and hyperbola is (x+1)216+(y-2)29=1  and  (x+1)216-(y-2)29=1. Add both…

Q: Determine if 252? + 16y² = 1 is an ellipse. O Not an Ellipse Ellipse, we can write the equation of…

A: Given equation can be written as Which is the equation of ellipse. Comparing it with  We get

Q: 2. Which conic section is represented by the equation y? – 2x² – 16 = 0? Нурerbola Ellipse Parabola…

A: To write that which conic section is represented by  y²-2x²-16=0

Q: 3. Write the equation of the ellipse plotted below. What are its foci, F, and F2. Show your…

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Q: The ellipse given by the equation 30x^2+5y^2+40y=120x-50 The center is: ? It has foco at: ? and ?…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 - 24y - 72x -144 = 0 is a.…

A: topic - ellipse

Q: _0. For the ellipse = 1, the value of a is the value of b is and the major axis is the -axis.

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Q: Q1/ give equations of ellipses. Put each equation in stan- dard form and sketch the ellipse. 9x +…

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Q: What is the equation of the standard ellipse with vertices at (±a,0) anc Choose the correct answer…

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Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: The eccentricity of an ellipse with the equation 16x2 +9 y² + 32 x – 128 = 0.53 0.66 0.82

A: We are asked to find the eccentricity of the ellipse.

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: The eccentricity of the ellipse x2/4+y2/16=1 is:

A: Given equation of ellipse: x24+y216=1

Q: Given the ellipse 16x2 + 25y2 – 64x – 50y – 311 = 0, determine its center. a. (1,2)             b.…

A: Note that the standard form of the equation of the ellipse is given by: (x-h)2a2+(y-k)2b2=1...(1)…

Q: An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of…

A: The given ellipse has center at origin and its major axis on the x-axis.It passes through the points…

Q: convert the equation to the standard form for an ellipse by completing the square on X and Y. State…

A: First we separate the x and y terms and then take out the coefficient of x2,y2

Q: 18. An ellipse has the equation 16x2 + 9y2 + 32x -128 = 0 is: Its eccentricity is: A. 0.531 B. 0.66…

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Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

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Q: Illustrate the coordinates of an ellipse  passing through (h,k) show your complete solution  (…

A: Given information: The equation of the ellipse is (x-3)24+(y+1)29=1. Concept Used: The general…

Q: Express the equation of the ellipse given in standard form. Identify the center, vertices,…

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Q: 18. An ellipse has the equation (x + 6)² (y – 5)2 + 1 16 64 (a) Is the major axis horizontal or…

A: Given equation of ellipse x+6216+y-5264=1we can also written as x+6242+y-5282=1…

Q: foci and eccentricity of the ellipse. 9x2+4?2−18x+8y−23=0

A: Introduction: The center, vertices, foci ad eccentricity of the ellipse (x-h)2a2+(y-k)2b2=1 is given…

Q: ned by the equation x2+5(y-2)2=5. a. What is the length of the major axis?

A: Given: The equation of the ellipse x2+5(y-2)2=5 .

Q: What are the foci of the ellipse? (z-2)² (g+1) =D1 49 25 o (2+2V6, 1) o (12v6, 1) o (12/6, - 1) o…

A: Given equation of an ellipse is (x-2)249+(y+1)225=1

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: 1. Write the equation of the ellipse with endpoints of the major axis (-11, 0) and (11, 0) and minor…

A: Topic- Conic section

Q: A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2…

A: The distance between foci of an ellipse x2a2+y2b2=1 is 2ae Where, e=1-b2a2 (a>b)

Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

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Q: 4. Write the standard form of the equation of the ellipse given below by completing the square. 9x?…

A: The equation of an ellipse is given by 9x2+4y2+36x-8y+4 = 0

Q: ind the equation of the ellipse satisfying the following conditions. Write the equations in general…

A: Given: The length of the major axis of an ellipse is 8 . The length of the minor axis of an ellipse…

Q: find the general form of an ellipse. The sum of the distances from the two foci (-5,0) and (5,0) is…

A: This question is based on ellipse 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: I. Write the equation of an ellipse from general to standard form. Write your final answer on the…

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Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and…

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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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