Find an equation of the line that has the given slope and contains the given point.m = 3, (-8, -5)

A. y + 5 = mx + 8
B. y + 5 = x + 8
C. y = 3x + 19
D. y = 3x - 19


Answer: C

Mathematics

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Evaluate the work done between point 1 and point 2 for the conservative field F.F = 4xe2x2-7y2-6z2i - 14ye2x2-7y2-6z2j - 12ze2x2-7y2-6z2k ; P1(0, 0, 0) , P2(1, 1, 1)

A. W = e-11 - 1 B. W = e-11 C. W = 0 D. W = e2 + e-7 + e-6 - 1

Mathematics

Use a system of linear equations to solve the problem.Two cars leave a city and head in the same direction. After 3 hours, the faster car is 21 miles ahead of the slower car. The slower car has traveled 132 miles. Find the speeds of the two cars.

A. 46 mph and 53 mph B. 70 mph and 77 mph C. 37 mph and 44 mph D. 44 mph and 51 mph

Mathematics

Factor f(x) into linear factors given that k is a zero of f(x).f(x) = x3 - (4 + 2i)x2 + (-5 + 8i)x + 10i; k = 2i

A. f(x) = (x - 2i)(x + 1)(x - 5) B. f(x) = (x - i)(x + 1)(x - 10) C. f(x) = (x - 2i)(x - 1)(x + 5) D. f(x) = (x + 2i)(x - 1)(x - 5)

Mathematics

Find the vertical asymptotes of the rational function.f(x) = 

A. x = , x = -1
B. x = - , x = 1
C. x = - , x = 1
D. x = , x = -1

Mathematics