Give the maximum number of points at which the following pairs of graphs can intersect. (a) A line and a hyperbola. 01     234 (b) A line and a circle. 01     234 (c) Two ellipses with centers at the origin. 01     234 (d) Two different circles with centers at the origin. 01     234 (e) Two hyperbolas with centers at the origin. 01     234

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

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Q: 14- 5y'+ 8x + 30y - 54 = 0

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Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

Q: What is the distance between the vertices of the hyperbola with one focus at (-1, 4) and co-vertices…

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

Q: Determine the equation of a hyperbola with vertices at (1,0) and asymptotes y=5x Please base your…

A: Option (c) x2-y225=1

Q: How does the graph of the hyperbola open, if its equation is [(y2) / 36] - [(x2) / 25] = 1? Explain…

A: Explanation of the answer is as follows

Q: What is a hyperbola?

A: Consider the given "hyperbola"

Q: Suppose that one hyperbola has an eccentricity of 4 and a second hyperbola has an eccentricity of 4.…

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Q: Write an equation for the hyperbola that has foci at (0, 65) and (0, - 65), and asymptotes y = ±8x.

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Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

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Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: Find the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0).

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).

A: Let (x,y) is the farthest point on the ellipse from (1,0) Distance between (x,y) and (1,0) is:…

Q: Find the equation for the graph of the hyperbola with vertices at (4,0) and (-4,0) and one focu at…

A: Given: Vertex : 4, 0 and -4, 0Focus : -6, 0 We need to find the equation of the hyperbola. The…

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: If the center of an ellipse is (3, –2), the major axis is horizontal and parallel to the x-axis, and…

A: An ellipse is a conic with eccentricity between 0 and 1. It has two axes: major axis and a minor…

Q: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

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Q: 13.2y – x = 4

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Q: 4. The line segment with endpoints at the vertices of an ellipse is called the axis.

A: A conic section is obtained by the intersection of a plane with the surface of a cone. The three…

Q: Find the standard equation of the hyperbola that satisfies the conditions.

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Q: If the center of an ellipse is (3, -2),the major axis is horizontal and parallel to the x-axis and…

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Q: A pair of buildings on a college campus are shaped and positioned like a portion of branches of the…

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Q: What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16…

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Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: Find the points on the ellipse 4x2 + y2  = 4 that are farthestaway from the point  (1,0 ).

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Q: 15. 20y - 3 - 40y + 12x = 52

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Q: Find the points on the ellipse  3x2 + y2 = 3  that are farthest away from the point (−1, 0).

A: Given 3x2+y2=3

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A:

Q: 2) WHAT ARE THE STANDARD EQUATIONS OFA HYPERBOLA WITH A HORIZONTAL TRANSVERSE AXIS AND OF A…

A: Solution is given as below:

Q: How is the distance between vertices for hyperbola equal to 2a?

A:

Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

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Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

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Q: Find the equation for the hyperbola that asymptottes (y - 3) = +- 1/square root of 2 * (x+3) and…

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F, (0, 0) and F2 (0, 4).

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: Find the standard form of the equation of ellipse satisfying the given conditions as, end points of…

A: we have to find the standard form of the equation of the ellipse satisying the given conditions as…

Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a vertex at…

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Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

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Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola