Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6- 4- 12 -8 -4 2- 4-

Q: Find the equation of an ellipse satisfying the given conditions. Foci: (-2, 0) and (2, 0); length of…

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Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions, Foci: (0,…

A: Consider the given information.Foci = (0,±3) and Vertices =(0,±6)   The standread equation of the…

Q: Find the center, foci, and vertices of the ellipse. (x - 3)2 . (y + 1)2 . 13) 36 1 25

A: Given: x-3236+y+1225=1 To find the center, foci and vertices of the ellipse

Q: Find the foci, vertices and center of the ellipse x2 + 2Y? + 2X - 8Y + 1 = 0

A: Given: x2+2y2+2x-8y+1=0 for finding foci, vertices and center of the ellipse, first we convert given…

Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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Q: Write an equation for the ellipse. Ay 2,3) X ..... Type the left side of the equation in the box…

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Q: Find the center, foci, and vertices of the ellipse. Graph the equation. (x+5)² (y-4)² = 1 16 4 +

A: Given: x+5216+y-424=1

Q: find the length of the major axis and the length of the minor axis of each ellipse. x2 + 6x + 4y2 -…

A: Given: Ellipse: x2+6x+4y2-16y+9=0 To Find: The length of the major axis and the length of the minor…

Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

A: The equation of an ellipse is of the form x2a2+y2b2=1if a>b…

Q: Find the equation of the ellipse with foci (0,12) and vertices (0,3)

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Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Graph the ellipse and give the location of its foci.

A: We have the given equation as (x-4)24+y225=1 It can also be written as (x-4)24+(y-0)225=1   the…

Q: Find the center, foci,and vertical of the ellipse. x^2/49+y^2/16=1

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Q: Find the center, vertices, and foci given the following equation of an ellipse. (x – 3)2, (y- 9)² |…

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Q: Draw the ellipse with the equation: 2x2 + y² + 4x – 9y = 7.

A: First convert this equation in standard form.…

Q: Find an equation of the form ax? + by? = c for the ellipse that passes through the given points. (2,…

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Find the standard form of the equation of an ellipse with the given characteristics. 1. Foci: (-4.…

A: Given- Focii of the ellipse are 4,0 and -4,0. To Find- The standard form of the ellipse. Identity…

Q: Find the center, foci, and vertices of the ellipse (x – 2)² (y + 1)? = 1 9 13

A: Given the ellipse: x-229+y+1213=1

Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

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Q: What are the foci of the ellipse? (z-2 + G (G) 25 3D1 49

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Q: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

A: Convert the equation x2 + 4y2 + 10x - 8y + 13 = 0 to standard form by completing the square on x and…

Q: Convert the equation 4x2 + 25y2 - 24x + 100y + 36 = 0 to standard form by completing the square on x…

A: Given: 4x2+25y2-24x+100y+36=0 for converting given expression in standard form, we simplify it so,…

Q: Graph the ellipse (x - 3)2 + 9(y + 2)2 = 18 and give the location of its foci.

A: the given equation of ellipse is  (x-3)2+9(y+2)2=18

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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Q: Graph the ellipse 9x2 + 4y2 = 36. Give the location of the foci.

A: Given: 9x2+4y2=36 for drawing graph of given equation of ellipse, we convert it in standard form of…

Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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Q: Find an equation for the ellipse shown in the figure. y 5 M X. -5 5 -5

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Q: Graph the ellipse (x - 4)2/9 + (y + 2)2/25 = 1 and give the location of its foci.

A: Given: x-429 + y+2225 = 1 To find: Location of the foci and to graph the ellipse.

Q: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

A: Convert the equation 16x2 + 25y2 - 300y + 500 = 0 to standard form by completing the square on x and…

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

A: Given,           Foci: (0, -6), (0,6); Vertices:(0, -8), (0,8)Since, the foci and vertices have the…

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: Find the equation of the ellipse with the given properties: Vertices at (+9, 0) and (0, ±25) 1

A: Solution:-

Q: Determine whether the graph of the equation is the upper, lower, left, or right half of an ellipse,…

A: Given equation is  x=4525-y2

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +V20), vertices:…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

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Q: Graph the ellipse and the foci (z-4) +. 25 (v+2) =D1

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Q: Find the center, vertices, foci, and eccentricity of the ellipse. (x+2)2/16+(y-5)2/25 =1

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Q: Find the center, the vertex and the foci of the ellipse 9(x +3)2+36(y -2)²=324

A: Given,9x+32+36y-22=324dividing both sides by…

Q: Graph the ellipse and locate the foci.

A: x-1216+y+229=1⇒x-1242+y--2232=1 Comparing with x-h2a2+y-k2b2=1, we get a=4, b=3, h=1 & k=-2 Now…

Q: Convert the equation 9x2 + 16y2 - 18x + 64y - 71 = 0 to standard form by completing the square on x…

A: Given equation is: 9x2 + 16y2 - 18x + 64y - 71 = 0 (9x2 - 18x) + (16y2 + 64y) - 71 = 0 (9x2 - 18x +…

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

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