Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. (+4, 0). foci: (+8, 0) Vertices: x2 = 1 16 a. y? 48 b. y 16 48 с. х 16 48 d. y? x? 16 48 e. х %3D 16 48

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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Q: 7. Write the equation into the standard form of the equation of the hyperbola: -x2 + 4y? – 2.x – 16y…

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A: (-a, 0) = (-2, 0) and  (a, 0) = (2, 0)   a = 2

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Q: Determine the point on the hyperbola −9x^2+7y^2=10 closest to the point (-9, 0). Give the x…

A: Here we have to find the point on the hyperbola -9x2+7y2=10 closest to the point (-9,0).

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A: For the solution of the problem follow the next step.

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A: Given: To Find: Which of the following option is correct:a. x-h2a2-y-k2b2=1b. y-k2a2-x-h2b2=1

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Q: 3. Classify the graph of the equation as a circle, parabola, an ellipse, or a hyperbola. (a) 16x² -…

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Q: Determine if 36x – 4y = 1 is a hyperbola and if it is, which type it is. The transverse axis is (æ –…

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A: Introduction: Standard form the hyperbola is (y-k)2a2-(x-h)2b2=1 Where center is (h,k), vertex is…

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Q: Find the center and foci of the hyperbola. (v- 8) (x+ 5) = 1 9. 27

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Q: Determine whether the following equation represents a hyperbola. -9x2 + 36x + y? + 6y – 36 = 0 O…

A: I Have Provided this answer in Step-2.

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Q: Write the equation into the standard form of the equation of the hyperbola: -x2 + 4y? – 2x – 16y +…

A: Given: -x2+4y2-2x-16y+11=0   Find: The centre, vertices, and foci of the hyperbola.

Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5),…

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,…

Q: 5 - 5 = 1 49 = 1 15 49 D- =1 64 49 = 1 14 16

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Q: Where is the center of the hyperbola represented by the following equation? (x-1)² (v + 5)² 25 49…

A: topic- center of hyperbola

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Find the standard form of the equation of the specified hyperbola. 13. Vertices: (+1, 0); Foci: (±3,…

A: The vertices are:±1, 0Foci is:±3, 0To find the equation

Q: Determine if 36x2 16y? = 1 is a hyperbola and if it is, which type it is. The transverse axis is (x…

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Q: The equation of the parabola with center at the origin and the focus is at (0,1). A. y? = 4x B. y? =…

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Q: Determine if 36x? + 9y? - 288x - 54y 819 = 0 is a hyperbola and if it is, which type it is. The |…

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Q: I am needing assistance with the attached equation.

A: Center at origin.

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Q: Find the equation of the Hyperbola with Foci at (6.6). (6.30) and the vertices at (6, 12). (6, 24).…

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