The vertices of the hyperbola with equation 922 – 72x – 16y? – 128y – 256 = 0 are the foci of an ellipse that contains the point (8, –10). Find the standard equation of the ellipse. O (z! 4)2 (y–4)² 48 64 O (2-4)2 (y: 4)² = 1 64 48 O (2+4)? (y-4)² 1 16 O (x-4)? (y: 4)2 1 %3D 16

Q: Write the equation of the hyperbola 4x2 – 25y? + 8x + 250y – 721 = 0 in standard form (x – h)? (y –…

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Q: Match each equation to the conic section it creates. (x+5)² 25 a. + (y-2)² 4 b. 3x³ + 4y = 25 d. = 1…

A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: What is the standard form equation of the ellipse that has vertices (-6, 2) and (4, 2) and…

A: vertex  (-6,2) and  (4,2) co vertex (-1,-2)  and  (-1, 6)

Q: Write the equation of the hyperbola 16x² - 9y² +96x - 72y - 144 = 0 in standard form Where: h = k= a…

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Q: Write an equation for the ellipse graphed in standard form.

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Q: (y+3)² (x-2)² 4 1 + = 1

A: Given equation of an ellipse.

Q: Write the equation of the ellipse 9x2 + 25y² – 54x – 50y – 119 = 0 in standard form (x – h)² (y –…

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Q: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: Find the equation of the hyperbola with vertices (-4,7) and (-4, –9) and foci (-4, 8) and (-4, –10).…

A: A detailed solution is given below.

Q: Find the equation of the hyperbola with vertices (-3, –2) and (7, –2) and foci (-6,-2) and (10, –2).…

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Q: Write the equation of the hyperbola 9x² – 4y? – 54x + 32y – 19 = 0 in standard form (x – h)? (y –…

A: Write the equation of the hyperbola  9x2 - 4y2 -54x +32 y  -19 =0 In the standard form  (x-h)2 /a2 -…