Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-6, -9); perpendicular to v = -3i + 2j
A. y + 9 = (x + 3)
B. 2x + 3y = -39
C. -3x + 2y = 13
D. -3x + 2y = 0
Answer: D
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Solve the problem.A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 129 hours for prep time, 77 hours for painting, and 108 hours for firing, how many of each can be made?
A. 6 serving bowls, 3 platters, 7 bread baskets B. 8 serving bowls, 7 platters, 4 bread baskets C. 7 serving bowls, 6 platters, 3 bread baskets D. 3 serving bowls, 7 platters, 6 bread baskets
Find the derivative.s = t6 cos t - 12t sin t - 12 cos t
A. = - t6 sin t + 6t5 cos t - 12t cos t
B. = - t6 sin t + 6t5 cos t - 12t cos t - 24 sin t
C. = - 6t5 sin t - 12 cos t + 12 sin t
D. = t6 sin t - 6t5 cos t + 12t cos t
The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e = 4, y = -9
A. r =
B. r =
C. r =
D. r =
Arrange the quantities in order from smallest to largest.9800 ml, 0.06 kl, 6 l
A. 9800 ml, 0.06 kl, 6 l B. 0.06 kl, 6 l, 9800 ml C. 6 l, 9800 ml, 0.06 kl D. 9800 ml, 6 l, 0.06 kl