27. 4x-3y8x 16 is the equation of a(n): a) Circle b) Parabola c) Ellipse d) Hype

Question

27. 4x-3y8x 16 is the equation of a(n): a) Circle b) Parabola c) Ellipse d) Hyperbola e) NOTA 28. The moon travels about the Earth in an elliptical orbit with Earth at one focus of the ellipse. The major and minor axes of the orbit have lengths of 768,800 kilometers and 767,640 kilometers, respectively. Then, the greatest distance between the center of the Earth and the moon, in thousands of kilometers, is: a) 363 b) 550 c) 750 e) NOTA d) 405 29. One of the coefficients of (x + y)' is: a) 20 b) 12 c) 27 e) NOTA d) 34 30. y3 -2y2+ 's is: a) 2yo b) 2y2 c) A3y e) NOTA d) 3y2 is 31. The rectangular equation for the parametric equations x t+1 t+1 a) y = t +1 c) x = 12 +1 e) NOTA x = ,y=_ is: 32. The graph of the parametric equations a) circle b) parabola c) Ellipse e) NOTA d)hyperbla c 2 cos 0-3 sin equation is: c) x + 2y = 0 e) NOTA r = 33. The rectangular form of the polar a) 2x-3y = 6 b) x2 +(y-1)-1 d)y=0.75 + 8x

Explanation / Answer

27. 4x2-3y2=-8x-16

4x2+8x -3y2=-16

4(x2+2x+1)-3y2=-16+4

4(x+1)2-3y2=-12

y2/12 -(x+1)2/3=1

Which represents the equation of hyperbola .

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