ite an equation for the hyperbola that has foci at (0, 185) and (0, - 85), and asymptotes y = ± 13x. .... n equation for the hyperbola is Simplify your answer. Type your answer in standard form. Use integers or fractions for any numbers in the equation.)

Q: Find the general equation and standard equation of the hyperbola as described by the given…

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Q: What is the standard form equation of the hyperbola that has vertices (0, +4) and foci (0, +2/1…

A: Here we have vertices of the hyperbola (0,±4) and foci 0,±213

Q: 12. Which is the equation of a hyperbola with co-vertices at (0, 7) and (0, –7) and a transverse…

A: TO FIND- The Equation of hyperbola GIVEN-  co-vertices at (0,7) and (0,-7)                Transverse…

Q: ind the equation for the hyperbola xy = 1 in (x′, y′)-coordinates, when θ =π/2

A: Solution: Given ε=10,01 is the standard basis for ℝ2, and B=cosθsinθ,-sinθcosθ is another basis of…

Q: 5. Find the vert ex, focus, and directrix of the parabola y? + 6y + 2x +1 = 0 and sketch its graph.

A: The given parabola equation is  y2 + 6y + 2x + 1 = 0 To find  vertex, focus and directrix of given…

Q: e: conter (-2,1), distance From the center to a vertex is 5. vertical hyperbola passing through the…

A: Here general equation of the hyperbola is given by the below formula, x^2/a^2 - y^2/b^2 = 1 The…

Q: In the equation as follows , find the center, foci, vertices, and eccentricityof the hyperbola, and…

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Q: Find the equation for a hyperbola centered at (0, 0), with foci at (0, - V 52 -6) and (0, 6). y? x2…

A: Here we have to find the equation of hyperbola having a center (0,0) with foci at 0,-52 and 0,52 and…

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: =D1 || |

A: I am attaching image so that you understand each and every step.

Q: 1. Given the parabola x2 – 2x – 24y + 1 = 0 , find the following: - - a. vertex b. focus c. equation…

A: Given parabola is x2-2x-24y+1=0 ⇒24y=(x2-2x+1)⇒24y-0=(x-1)2

Q: Find the eccentrici ty, foci, and directrices of the hyperbola y2 - x? = 4.

A: We have to find the eccentricity, foci and directrices of the given hyperbola y2-x2=4.

Q: find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci and directrices. y2…

A: find the eccentricity of the hyperbola. Then find and graph the hyperbola’s foci and directrices…

Q: = 1 10 12 = 1 20 12 x2 = 1 100 36 =1 100 144

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Q: Which of the following is NOT true about the hyperbola with equation; * 9x2 –4y2 +90x + 189 = 0 The…

A: As per our guideline we can solve maximum one question ,you can repost other in next question

Q: Which of the following is NOT true about the hyperbola with equation; * 9x2 -4y2 +90x + 189 = 0 The…

A: The given hyperbola is: 9x2-4y2+90x+189=0

Q: Pz/ for hyperbola find vertices ? ye 5 =1

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Q: Given the equation x² – 24x + 2y2 + 128 = 0 find the foci, vertices, directrix, axis, and…

A: x2-24x+2y2+128=0 On simplification, we get…

Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its…

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Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. y2…

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

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Q: 3. Given the conic sectionr%D find the x and y intercept(s) and the focus(foci). 1- sin(8)…

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,…

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Q: Two corners of auxiliary rectangle at (2 , 3) and (16 , −1), horizontal Find the standard equation…

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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 foci at (0, -10) and (0, 10), and asymptotes y = 1 x and…

A: To find the equation of hyperbola

Q: The hyperbola within equation x2/a2-y2/b2=1 has asymptotes y = + or – 4/3x and foci (+ or – 12,0).…

A: The hyperbola within equation  x2/a2-y2/b2= 1 Asymptotes y = + or – 4/3x and  foci (+ or – 12,0).…

Q: Show that the equation x2 - 4y2 + 2x + 8y - 7 = 0 represents a hyperbola. Find its center,…

A: Given: x2-4y2+2x+8y-7=0 first we converting given equation in standard form so,…

Q: 2 The hyperbola x? y? 1 b2 a? has foci (±c, 0), where c² = a² + b², vertices (±a, 0), and asymptotes…

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Q: Please give me a complete and clean solution.  Find an equation of the hyperbola with center at the…

A: Topic = hyperbola

Q: Given the hyperbola x² + 2x – 4y? + 8y = 7. (a) Find the coordinates of the foci. (b) Find the…

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: The equation of the hyperbola whose foci are (V5, 1) and (-V5, 1) and one asymptote y –1= 2x is…

A: Given: Foci=(5,1),(-5,1) Asymptote=y-1=2x

Q: 16. For the parabola having the given equation x2 + 8y + 8x 0, find the vertex, focus, directrix,…

A: Given equation of parabola is x2+8y+8x=0. This equation can be rewritten as the form of y=ax2+bx+c.…

Q: Find the eccentricity of a hyperbola whose transverse axis and conjugate axis are equal in length O…

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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)…

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Q: 18. Find the coordinates of the vertices and foci and the equations of the asymptotes for the…

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Q: Q1 The hyperbola x2 y2 = 1 9 - 16 is shifted 2 units to the right. Find the center, foci, vertices…

A: According to our bartleby Q&A guidelines we only allow to solve the first question. Kindplease…

Q: Hyperbola, e = 4; directrix, x = 2

A: Given - eccentricity = e = 4directrix, x=2Using the formula - directrix = ce22 = c42c = 16×2c =…

Q: The coordinates of a point common to a directrix and an asymptote of the hyperbola x?/25 – y?/16 = 1…

A: We need to find the coordinates of the point common to a directrix and an asymptote of the hyperbola…

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at I = 20…

A: The solution is:

Q: 1 in (r', y')-coordinates, if (iii) Find the equation for the hyperbola ry 0 = 1-

A: Find the equation of hyperbola in x'y' system

Q: If hyperbola 36x^2 - 49y^2 - 100 = 0 has an eccentricity of e= √85/7, what are the asymptotes and…

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Q: Find an equation in standard form for the hyperbola with foci at(+8, 0), transverse axis with length…

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Q: b) For the hyperbola 2y? - 9x? = 18 , find the vertices, foci, lengths of transverse and conjugate…

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Q: If the normal at point P to the rectangular hyperbola x2 - y? = 4 meets the transversal and…

A: Given the equation of the hyperbola is  x2 − y2 = 4   Let P( 2 sec θ , 2 tan θ ) be any point on the…

Q: 3. Find the equation of the following hyperbola after it has been rotated counterclockwise by : y? –…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics and center at…

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