Write an equation in slope-intercept form of the line satisfying the given conditions.Through (-4, -3), perpendicular to -4x - 9y = 88
A. y = - x - 6
B. y = x +
C. y = - x - 22
D. y = x + 6
Answer: D
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Find the indicated vector.Let u = , v =
. Find
u -
v.
A.
B.
C.
D.
Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 D. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Use the basic trigonometric identities and the given information to find the exact values of the remaining trigonometric functions.sin ? = - and tan ? > 0
A. sin ? = -
cos ? =
tan ? = -
csc ? = -
sec ? =
cot ? = -
B. sin ? = -
cos ? = -
tan ? = -
csc ? = -
sec ? = -
cot ? = -
C. sin ? = -
cos ? = -
tan ? =
csc ? = -
sec ? = -
cot ? =
D. sin ? = -
cos ? = -
tan ? = -
csc ? =
sec ? = -
cot ? = -
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = 5x - 1 B. f(x) = 5x - 1 C. f(x) = 5x + 1 D. f(x) = 5x