Find an equation of the hyperbola that has foci at (-2, 0) and (2, 0), and asymptotes y = x and y=-x. 믐 D=0

Q: Find equations for the asymptotes to the hyperbola described by 49x² – 25y² – 294x – 100y : 884.

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Q: Find an equation of the hyperbola (in general form) given the following conditions: 12. Foci (10, 0)…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (−2,…

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Q: Find the asymptotes of the hyperbola. y^2-x^2=4

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Q: Write an equation for the hyperbola that has foci at (0,1113) and (0,- 113), and asymptotes y = +…

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Q: Do I have to use the equations for the asymptotes of a hyperbola centered at the origin, y = tr or y…

A: The equations for the asymptotes of a hyperbola centered at the origin is y = ±bax or y = ± abx.…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±5,…

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Q: Find an equation of the hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and…

A: The hyperbola that has foci at (0,-13) and (0,13), and asymptotes y=5/12x and y=-5/12x. To find…

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Find the equation of the asymptote with a positive slope for the following hyperbola. (x + 8)? 1 (y…

A: Given hyperbola s standard equation of hyperbola : Therefore,

Q: Find an equation of the hyperbola having foci at (4-√52,5) and (4+√52,5) and asymptotes at y=3/2x+11

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Q: The equation of the asymptote having a positive slope to the shown hyperbola is Select one O a y= 3…

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Q: Find the standard form equation for a hyperbola with vertices at (0,20) and (0,-20) and asymptote…

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Q: Foci at (0,5) and (0,-5) and a vertex at (0,4)

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola…

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0,…

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

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: What is the equation of the hyperbola with asmptotes y=+-2/5x and a vertex of 0,2

A: The given problem is solved below in detail.

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

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Q: Find the equation of the hyperbola with latus rectum 1, slope of asymptotes ±1/2. Draw the curve.

A: To find the equation of the hyperbola with latus rectus 1, the slope of asymptotes ±12.

Q: Write an equation for the hyperbola which has foci at (0, v5) and (0,-V5 and asymptotes at y = ±3x.

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Consider the provided information, The x intercepts is ±5 and asymptotes y=±2x. Find an equation for…

Q: Find an equation of the hyperbola having foci at (1,-2-/25) and (1, -2+25) and asymptotes at 3 r- 4.…

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Q: Find the equation of the asymptotes for the hyperbola (y – 5)2 – (x + 5)2 = 36. a. y = ±x…

A: Asymptotes are the straight lines which tend to touch the curve at infinity.

Q: Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The…

A: We have the figure as:

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: Espar Find an equation of the hyperbola having foci at (-2,-V40) and (-2, 40) and asymptotes at y3 1…

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions: Endpoints…

A: Since, endpoints of trnsverse axis lie on y-axis,so transverse axis of hyperbola is y-axis, so the…

Q: Find the equation of the hyperbola with latus rectum 1, slope of asymptotes  ± ½. Draw the curve

A: Given that the latus rectum of hyperbola is 1 and slope of asymptotes are ±12. The standard equation…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions as End point…

A: Find the standard form of the equation of the hyperbola satisfying the given conditions as End point…

Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: The standard form of a vertical hyperbola is: (y-k)2a2-(x-h)2b2=1                        ...(i)…

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: -2,3 Directrix: y=7 To find: The equation of the parabola. Concept: The equation of…

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: Consider the general form for the asymptotes is, y=k±bax-h Here, the center is (h,k)

Q: Find the equation of the hyperbola that is centered at (0,0), has vertices at (t10,0) and has 6.…

A: Consider the given values. Center=0,0vertices=±10,0y=±65x The gerneral equation of hyperbola with…

Q: Find an equation for the hyperbola that has vertices  (±3,0) and asymptotes  y=±5x.

A: Given query is to find the equation of the Hyperbola.

Q: 1 Foci (10, 0) and (-10, 0), asymptotes У — —х

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Q: 19. What is the equation of the horizontal asymptote for this hyperbola ? y = (6x + 8) / (3x - 2) *

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Q: Write the equation for the hyperbola with foci (1,-s), (2.-s) and conjugate axis of length 6. (x-…

A: Please refer the attached image for complete solution.

Q: Find the equation of the hyperbola whose asymptotes are y = +2 and which passes through 4. 16 16 16

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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: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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Q: Find the standard form equation for a hyperbola with vertices at (8, 0) and (– 8, 0) and asymptote 3…

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Q: Find an equation for the hyperbola with foci (0, ±10) and with asymptotes y: = +x.

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Q: Find the equation for the hyperbola with the vertices at (0,1) and (6,1) and an asymptote 3y + 2x =…

A: We have to find the equation for the hyperbola according to given information.

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, +9), asymptotes: =…

A: Given foci (0,±9) , asymptotes y=±12x let’s find an equation of hyperbola

Q: Find an equation of the hyperbola that has foci at (-10, 0) and (10, 0), and asymptotes y = 7x and…

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Q: Find a Cartesian equation for the hyperbola centred at (3,0) with x=1 as one equation of the…

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