Write an equation for the given ellipse that satisfies the following conditions. Center at (1,4); minor axis vertical, with length 16; c = 6. The equation for the given ellipse is (Type your answer in standard form.)

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. vertices…

A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

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

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A: Vertices(±a,0)Focii(±c,0)

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A: find length of minor and major axis then put in standard of ellipse

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

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

A: To find the equation of ellipse

Q: If the foci of an ellipse are located at (-8, 6) and(10, 12), then the coordinates of the center of…

A: We have foci of an ellipse  (-8, 6) and (10, 12)   The center is located at (h, k) We know that…

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

Q: Find the vertices, foci and eccentricity of the ellipse: x^2+4y^2=16

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

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

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A: Given:

Q: Consider an ellipse centered at the origin whose major axis is vertical.The equation of this ellipse…

A: Given that : Consider an ellipse centered at the origin whose major axis is vertical. The equation…

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

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Q: Write the standard form of an equation of the ellipse subject to the following conditions.…

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Q: Translated to the right 6 units

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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 the given properties and plot the ellipse.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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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: Sketch the ellipse, and label the foci, the vertices, and ends of the minor axis. 25(x+4)? + 4(y-1)²…

A: 25x+42+4y-12=100⇒25x+42+4y-12100=1⇒25x+42100+4y-12100=1⇒x+424+y-1225=1⇒x--4222+y-1252=1 Now…

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A: Given Foci=(-,±3) Length of  minor axis=8

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (+4, 0), vertices: (+5,…

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A: This question is about application of conic section

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

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A: Compare (0±6,0)=(h±a,k)a=6

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A: The given equation of ellipse is 25x2+150x+y2-8y+216=0. Rewrite the ellipse in its standard form as…

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Q: () and (.0) and 13. Vertices at one

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

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Q: Find the center, vertices, foci, and eccentricity of the ellipse. Then sketch the ellipse.…

A: Compare the equation with the standard form of ellipse (vertical) So, h=0, k=0, a=9, b=2

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 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 and center at…

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