Find the standard form of the equation of the hyperbola satisfying the given conditions. x-intercepts (+24,0); foci at (- 25,0) and (25,0) The equation in standard form of the hyperbola is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Q: Find the standard equation of the hyperbola one branch of which has focus and vertex that are the…

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A: Given equation is 9x2-y2+54x+10y+55=0   ....1

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Q: Determine the equations of the asymptotes of the following hyperbola. You will need to rewrite the…

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Q: The eccentricity of the hyperbola given by the equation below is 16y² - 9x² + 36x + 96y - 36 = 0 √5…

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Q: 43. Vertices: (0, 12), (0, −12); Asymptotes: y = ±x

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Q: Convert the equation 4x2 - 9y2 + 8x - 18y - 6 = 0 to standard form by completing the square on x and…

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Q: Determine the standard form of an equation of a hyperbola with eccentricity 13/12and vertices (−2,…

A: Given:

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A: Given: The vertices of the hyperbola are: (1,3) and (1,-3) And the foci of the hyperbola are (1,5)…

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Q: Use the information below to write the equation of the hyperbola. The transverse axis of the…

A: This question is based on Conics section.

Q: a hyperbola has an equation of 4x^2-y^2=256, find the eccentricity asap

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Q: Find the standard form of the equation of a hyperbola given the following information. Vertices…

A: By  using hyperbola equation formula, we find the required hyperbola equation.

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

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

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Q: Use the information provided to write the standard form equation of the hyperbola. Vertices: (8, 16)…

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Q: write the standard form equation for a hyperbola with the center at the origin, vertices at (0,6)…

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Q: Find the standard form of the equation of the hyperbola shown below. The standard form of the…

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

A: Standard equation of hyperbola is x2122-y252=1

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

A: use formula for the standard equation of a hyperbola.

Q: Write the equation of the hyperbola that has its center at the orgin vertices on the y-axis 8 units…

A: solution is given below..

Q: (b) The equation of a hyperbola is given by x² – 4y² +2x+8y-7=0. Sketch the hyperbola and then label…

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Q: find an equation for the hyperbola with center C (0,0), vertices V (+-4,0), and foci F (+-6,0)

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

A: Given that the foci at (-10,0), (10,0) so this hyperbola is horizontal.  It will have the vertices…

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Q: Which equation gives the standard form of hyperbola, given the center at the origin, vertices at…

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Q: Find the standard form of the equation of the hyperbola shown below. The standard form of the…

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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: Find the standard equation of the hyperbola whose conjugate axis is on the directrix of the parabola…

A: Given: Conjugate axis of the hyperbola is on the directrix of the parabola The focus of the parabola…

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Q: Write an equation for the hyperbola that has foci at (0, 185) and (0, - v85), and asymptotes y = ±…

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Q: The equation of the hyperbola whose foci are (0, 6) and (0,-4) and -1= 2z is Select one: (y-1)2 20 =…

A: Here we have to find the equation of the hyperbola, Whose foci are (0,6) and (0,-4), and asymptote…

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Q: Write the standard form of the equation of the hyperbola for which a = 2, the transverse axis is…

A: The equation of hyperbola with center (0,0) and transverse axis is vertical is given…

Q: Find an equation for the hyperbola with foci F and that passes through P. Sketch the hyperbola.

A: The given figure is,

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

A: Standard form of a hyperbola having vertical transverse axis, and center at (h,k)  is,…

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

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

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