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

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

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: Find an equation of the hyperbola that has foci at (-13,0) and (13,0), and asymptotes y=3/2x and…

A: Given:

Q: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

A: Find the equations of the asymptotes for the hyperbola 16x2 - 9y2 = 25

Q: Find the standard form equation for a hyperbola with vertices at (6, 0) and (- 6, 0) and asymptote…

A: As y-coordinate of vertices is 0, transverse axis of the hyperbola is x-axis (y=0)

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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Q: Determine the equation of the hyperbola and its asymptotes if it has:  A)Foci F1 (7, 0) and F2 (-…

A: Let, a and b be the length of semi-major axis and semi-minor axis respectively.Given that, vertices…

Q: Find the equation the hyperbola with vertices (0, +2) and asymptotes y = ±3x.

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Q: Determine the asymptotes of the hyperbola. 49x² – 4y2 – 9 - 187

A: As given equation of the hyperbola is:                       49x2 - 4y2 - 9 = 187…

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

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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 an equation of the hyperbola that has foci at (0, -6) and (0, 6), and asymptotes y=x and y=-x.…

A: We will solve the problem

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: Find the equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

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 the equations of the asymptotes of each hyperbola. 36y2 - 288y - x2 + 2x + 539 = 0

A: Given Equation of hyperbola: 36y2-288y-x2+2x+539=0 Standard form of hyperbola not symmetric to both…

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 the equation of the hyperbola with vertex (-4, 0) and foci at (-5, 0) and (1, 0).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: =D1 4 = 1{-5<x<5}

A: Given equation is The equation of given hyperbola is horizontal hyperbola

Q: Find the foci of the hyperbola. 2 4x-y- 2 32x+ 28 = 0

A: See attached file for a step by step explanation to find the foci of the hyperbola.

Q: Find the equation of the Hyperbola with asymptotes y=±2x and a vertex at (0, 10)

A: Given, The asymptotes of the hyperbola is  y=2x  and   y=-2x  and vertex at 0, 10 We have to find…

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: What are the asymptotes of the hyperbola represented by the equation 8y^2−32x^2=96?

A: Consider the equation of hyperbola, 8y2-32x2=96 Divide both sides by 96 8y296-32x296=9696y212-x23=1…

Q: Find an equation of the hyperbola that has foci at (-2, 0) and (2, 0), and asymptotes y = x and…

A: The hyperbola has foci at -2,0 and 2,0 and asymptotes y=x and y=-x

Q: Find an equation of the hyperbola that has fodi at (-15,0) and (15, 0), and asymptotes y=x and y =

A: here we have to find the equation of hyperbola that has foci  at (-15,0) and (15,0) asymptotes…

Q: Find an equation for the hyperbola that satisfies the Vertices: (±1, 0), asymptotes: y = ±3x

A: Given,        Vertices: (±1, 0)    asymptotes: y=±3x

Q: Find an equation of the hyperbola that has foci at (-10,0) and (10,0) , and asymptotes y=3x and…

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Q: Find the asymptotes of the hyperbola 3x2 + 6x − y2 − 10y = 1.

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Q: Can you assist me in answering this? (Not graded - solely for acquisitional purposes)

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

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Q: Which is the corresponding equation of the hyperbola with foci located at (-8, 0) and (8, 0) and a…

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Q: The asymptote of the hyperbola given by x²/9- y²/4 = 1 has the equation?

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Q: 4. Determine whether a hyperbola exists if it has an equation of x2 - y2 + 6x +36y = 18.

A: we have to determine whether a hyperbola exists if it has an equation of  x2-y2+6x+36y=18

Q: Find the equation of the hyperbola whose asymptotes are y = 2x and y=-2x which passes thru (5/2, 3).

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

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Q: Find the standard form equation for a hyperbola with vertices at (0, 2) and (0, – 2) and 1 asymptote…

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Q: 4. Determine the equation of the upward asymptote o the hyperbola with the following equation: 16(x…

A: This question is related to asymptotes.

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: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

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 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 the equations of the asymptotes for each hyperbola. y2 - 16x2 = 36

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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 the standard form equation for a hyperbola with vertices at (6, 0) and (- 6, 0) and asymptote y…

A: The vertices of the hyperbola is:  (6, 0)  and  (-6, 0) The asymptote of the hyperbola is:  y=13x

Q: 2. Find the equation of the hyperbola whose asymptotes are perpendicular to the lines 5x – 4y +9 = 0…

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