In Exercises 1-18, graph each ellipse and locate the foci. = 1 4 2. 1. 16 + 25 16 3. 9 36 4. 49 5. 25 6. 49 36 64 7. 81 8. 64 100 y? 9. 10. 11. x? = 1 - 4y? 12. y? = 1 - 4x² 13. 25.x? + 4y? = 100 15. 4x? + 16y? = 64 17. 7x? = 35 - 5y? 14. 9x? + 4y? = 36 16. 4x? + 25y? = 100 18. 6x? = 30 – 5y? %3D %3D %3D + +

Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

A: Given:

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: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: Which is the constant sum of an ellipse with foci F,(-2, 3) and F, (5. – 1) and the point on the…

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Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: Which graph represents the ellipse given by (x−3)^2/16+(y+8)^2/25=1? (options in image)

A: Explanation of the solution is given below...

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Q: What is the equation of the ellipse shown in the graph? y 67 +►X -10 8 -6 -4 -2 0 -2+ 2 4 6 8 10 -44…

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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: For Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: 16. х2 — 2х — 4у — 7 %3D 0

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

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

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Q: The distance between the vertices of an ellipse is 10. The distance between the foci is 6. What is…

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Q: In Exercises 51-60, convert each equation to standard form by completing the square on x and y. Then…

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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: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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

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Q: 2. A parabolic antenna has a width across the top of 36 inches and the depth at the center is 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 standard form of the equation of the specified ellipse. 16. Vertices: (0, +7); Foci: (±3,…

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Q: Given the ellipse x2/36 + y2/32=1. Determine the distance between foci.

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Q: Given the ellipse (y – 6)? 121 9 what are the coordinates of the two foci? Select the correct answer…

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Q: How are the graphs of these ellipses similar, and how are they different? y? = 1 y? 1 36 144 36 144

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Q: Graph the ellipse and locate the foci.

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

A: Given equation of ellipse is: The graph is as follows:

Q: What is the length of the minor axis of an ellipse with foci 16 units apart and a major axis length…

A: We have  length of major axis 2a=20 units               length of foci of ellipse 2c=16 units…

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

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: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

Q: I am needing assistance with the attached equation.

A: Foci = (0,0) and (0,6) So, center of it: Major axis = 12 So, 2a=12 a=6  This ellipse is vertical…

Q: O: A- Sketch the graph of ellipse: - * + y? = 0. %3D

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Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct locations.…

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Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: (x-3)? (y+1)² = 1? 16 25

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Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

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Q: Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3,…

A: Answer

Q: Which equation represents the ellipse with vertices located at (3, -3) and (3, -13) and foci at (3,…

A: Ellipse

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

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A: Given: Endpoints of minor axis :(1,8) and (1,0) Foci : (-2,4) and (4,4). Here, the y coordinates of…

Q: Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

A: Consider the ellipse  5x−12+4y−12=25

Q: What is the distance between the vertices of the ellipse: 64x^2 + 25y^2 _ 16x - 16y-648= = 0? C.…

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