Find the standard form of the equation of the specified hyperbola. 15. 10 10x -1아 (x+2)* _ (v-4}* [A] 4 =1 9. (x-4)° _ (v+2)* -1 [B] 4 9 (x+4)° _ (v-2)²

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.

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A: We can clearly see that y = 2x and y = -2x are eqn. of asymptotes of hyperbola. (y-2x)(y+2x) are…

Q: Hey, reply as soon as posible. The equations of the asymptotes of a hyperbola with transverse…

A: From the above details we have,

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

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Q: How is a hyperbola different from a parabola?

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Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

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Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

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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: 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: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 4. Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given a hyperbola with

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Q: What are the foci of the hyperbola with equation * x2 y2 36 64 (4,0), (-4,0) (0,3), (0,-3) (10,0),…

A: At first we have to contract the equation in standard form and then have to find the foci.

Q: Determine the vertices of the hyperbola. (y - 3)2 - (x + 5)2 = 1 4 9 (х, у) %3D (smaller y-value)…

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Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: 8. Write the equation of the hyperbola with vertices (5,-2) and (-5, -2), and foci (6, -2) and (-6,…

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Q: 30+ y 24 18 ------- 12 ---<-- - -10 -8 -6 -4 2, 4 8. 10 -- ----- -- -- -18 -24 -12 +30+ Identify a…

A: The equation of the hyperbola with center h,k if the transverse axis is horizontal then the equation…

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: How to convert 3y^2-x^2-9=0 into standard form? I know it is a hyperbola.

A: Answer and explanation is given below..

Q: Find the acute angle between the asymptotes of the hyperbola 2x2 –y2 +4x -6y -15 = 0.

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Q: 5. Find the equation of the parabola that has a horizontal axis of symmetry, passing through the…

A: the general equation of a parabola is x=ay2+by+c                            (1) horizontal axis…

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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: 3. Find an equation of the hyperbola having foci at (4, 2) and (4,8) and vertices at (4,4) and (4,…

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: How do you find the standard form of the equation of the parabola with the given characteristic(s)…

A: Given vertex is at origin i.e (h,k) = (0,0) To find the standard equation of parabola

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given: The characteristics of the hyperbola, Vertices: 3,-2, 3,-6 which passes through the point…

Q: Find the standard form of the equation of the hyperbola.

A: It is given in the figure that, the vertices of the hyperbola are 0 , ±5 and the length of the…

Q: 2. A parabola with axis parallel to the x-axis and passing through (5,4), (11, –2) and (21, –4)

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

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: Find the equation of the hyperbola with center at (-3,3); transverse axis parallel to y-axis; length…

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Q: 10 -10 -8 -6 6 8 10 -10- Identify a and b for the hyperbola with equation a2 y? = 1. 62 a = b =

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Q: Find the standard form of the equation of a hyperbola whose endpoints of the transverse axis are…

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

A: The graph of a hyperbola opens right and left if sign of y is negative and up and down when the sign…

Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

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Q: 15 y 10 5- -9 -6 -3 -5- -10- -15 Identify a andb for the hyperbola with equation 22 y2 1. 62 b D %3D

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: 5,2

A: we have to find the equation of the hyperbola with vertices (-4,2) and (0,2) and foci at (-5,2) and…

Q: O 5. Which is the corresponding equation of a hyperbola with vertices at (11, 0) and (-11, 0) and…

A: We have given the vertices and co- vertices of the hyperbola .

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A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (4,…

A: vertex (4,16) points on the parabola (0,0) and (8,0) vertex form= a(x-h)2+k Standard form= ax2+bx+c