Find the standard form of equation of an ellipse and determine the center, major axis, a and b. 4. 36x² + 16y? + 144x - 96y - 288 = 0

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: Find the length of the major axis of the ellipse 9x2 + 2y2 = 32.

A: 9x2 + 2y2 = 32

Q: What are the focus of ellipse with an equation of 4x2 + y2 = 100? a.7.90…

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Q: Write an equation in standard form for the ellipse given by the equation 9x^2 + y^2−36 =0.

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Q: Write the equation of the ellipse 16x? + + 4y“ + 64x + 32y + 64 = 0 in standard form h)? (x (y – k)²…

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Q: What is the center of the ellipse? (r-2) 49 6+1) = 1 25 o (-2,-1) o (-2, 1) o (2,-1) o (2, 1)

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: center is at h,ka,b…

Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y? + 4x = 36 and…

A: Given :-  An equation for the ellipse that shares a vertex and focus with the parabola y2 + 4x = 36…

Q: Determine if 36x? – y? = 36 is an ellipse. Ellipse Not an Ellipse (x – h)? (y – k)? If it is an…

A: we have to identify the given equation is an ellipse or not

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: What is the center of an ellipse 64x2 + 25y2 = 1600? a.2,3                                     b.…

A: Use the standard equation of ellipse  for finding the center.

Q: Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x…

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Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 - 4x + 9y2 +…

A: Given equation of ellipse is: x2 - 4x + 9y2 + 54y + 76 = 0 Then rearranging the terms we get,…

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: The center of an ellipse is (-9,3). One focus is (-13, 3). The major axis is 18 units long. What is…

A: This is a simple question based on ellipse which could be solved using the basic knowledge of the…

Q: An equation of an ellipse is given. 16x2 + 9y2 = 1 Determine the length of the major axis.…

A: Explanation of the answer is as follows

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: the ratio of the major axis to the minor axis of ellipse 9x^2+4y^2-24y-72x-144=0 is

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Q: Q 2. Explain and find the center, foci, ends of major axis, ends of minor axis and vertices of the…

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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: What is the standard form of the ellipse whose equation is 4z +3y-16z + 9y+16 -0? Drag an expression…

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Q: (b) Find the evolute of the ellipse x2 y? =D1

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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: . Identify the type of equation: 5x? + 5y - 10x + 15y = 10 %3D O circle O parabola hyperbola ellipse

A: The objective of the question identify the type of equation.

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 8. (6,6)…

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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: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

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Q: Determine if 36x² 36 is an ellipse. Ellipse O Not an Ellipse (x – h)² (y – k)² If it is an ellipse,…

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Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

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

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Q: Describe the part of a hyperbola given by the equation.

A: Given: y=94x2-16

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: Find the standard form of equation of an ellipse and determine the center, major axis, a and b. 1.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An ellipse has an equation x² y2 = 4 9. 15 Find the value of b.

A: Given the equation of ellipse is  To find the value of b

Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 2)? (y – 5)? + = 1…

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Q: Find the length of the minor axis of the ellipse 8x2 + 3y2 = 72.

A: Given: 8x2+3y2=72 To Find: The length of the minor axis of the given ellipse

Q: What are the foci of the ellipse given by the equation x^2+y^2−4x+9x=23

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Q: What is the standard form of the ellipse whose equation is 8z+6y+16z - 3y+4 0? Drag an expression…

A: Solved below

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: 2. Write the equation into the standard form of the equation of the ellipse and sketch the ellipse:…

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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: 18. Which of the following equations represents an ellipse with horizontal minor axis? A.+ 16y? = 16…

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Q: write the equation into standard form of the equation of the ellipse 9x2+126x+4y2-32y+469=0

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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: Find the foci of the ellipse (x+1)² (y+5) ² 28 23 + =1

A: We can find the foci in the below steps.

Q: The center of an ellipse is (-9,3). One focus is (-6, 3). The major axis is 14 units long. What is…

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Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

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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