If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix. 4x2 + 9y2 + 72x - 36y + 324 = 0
A. C: (-9, 2); V: (-9, 5), (-9, -1); F: (-9, 4.2), (-9, -0.2)
B. C: (-9, 2); V: (-6, 2), (-12, 2); F: (-6.8, 2), (-11.2, 2)
C. C: (-9, 2); V: (-7, 2), (-11, 2); F: (-5.4, 2), (-12.6, 2)
D. C: (-9,2); V: (-9, 4), (-9, 0); F: (-9, 5.6), (-9, -1.6)
Answer: B
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Find a parametrization for the line segment beginning at P1 and ending at P2.P1(0, 0, 0) and P2(-3, -2, 4)
A. x = 3t, y = 2t, z = -4t B. x = -3t - 3, y = -2t - 2, z = 4t + 4 C. x = -3t + 3, y = -2t + 2, z = 4t - 4 D. x = -3t, y = -2t, z = 4t
Solve the problem.100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the person does not work full time.1. Public transportation: 10 full time, 7 part time2. Bicycle: 3 full time, 5 part time3. Drive alone: 32 full time, 27 part time4. Carpool: 10 full time, 6 part time
A. 0.55 B. 0.45 C. 0.40 D. 0.27
Find a formula for the function graphed.
A.
B.
C.
D.
Express as a single logarithm.3logbt - logbs
A. logb
B. logb(t3 - s)
C. logb
D. logbt3 ÷ logbs