Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.16x2 - 9y2 = 144
A. center at (0, 0)
transverse axis is x-axis
vertices: (-3, 0), (3, 0)
foci: (-5, 0), (5, 0)
asymptotes of y = - x and y =
x
B. center at (0, 0)
transverse axis is x-axis
vertices: (-4, 0), (4, 0)
foci: (-5, 0), (5, 0)
asymptotes of y = - x and y =
x
C. center at (0, 0)
transverse axis is x-axis
vertices: (-3, 0), (3, 0)
foci: (-, 0), (
, 0)
asymptotes of y = - x and y =
x
D. center at (0, 0)
transverse axis is x-axis
vertices: (0, -3), (0, 3)
foci: (0, -5), (0, 5)
asymptotes of y = - x and y =
x
Answer: A
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Solve the problem.A box weighing 64 lb is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of 27 lb. What angle, to the nearest degree, does the first rope make with the vertical?
A. 12° B. 23° C. 35° D. 46°
Sketch the graph and show all extrema, inflection points, and asymptotes where applicable.f(x) = 10x2 + 20x
A. Rel min: (-2, -20)
No inflection points
B. Rel min: (2, -20)
No inflection points
C. Rel min: (1, -10)
No inflection points
D. Rel min: (-1, -10)
No inflection points
Give the ordered pairs for the points labeled on the graph.
A. A(5, 6); B(2, -4) B. A(6, 26); B(2, -4) C. A(5, 6); B(-4, 2) D. A(5, 2); B(6, 2)
Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.3x2 + 4xy - 11y2 + 9x + 4y + 5 = 0
A. Hyperbola B. Parabola C. Ellipse or circle