Solve the problem.For the triangle with vertices located at A(5, 3, 5), B(4, 4, 4), and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.
A. i +
j +
k
B. i +
j +
k
C. i +
j +
k
D. i +
j +
k
Answer: D
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Divide.(x3 - 2x2 + 2x - 7) ÷ (x + 4)
A. x2 - 6x + 26 +
B. x3 - 2x2 + 26x - 111
C. x2 - 6x + 10 +
D. x2 - 6x + 26 +
Use dimensional analysis to convert the units. If necessary, round to the nearest tenth. 4 yd = in.
A. 12 B. 72 C. 144 D. 48
Plot the given point in a rectangular coordinate system.(-5, 1)
A.
B.
C.
D.
Solve the problem.A convenience store charges $1.10 for a 24 ounce soda and $0.99 every refill. A gas station charges $1.50 for a 24 ounce soda and $0.99 for every refille. Write the cost model equations for both places and find the number of refills that makes the costs equal.
A. Convenience store: y = 0.99x - 1.10 Gas station: y = 0.99x - 1.50 The costs are never equal B. Convenience store: y = 0.99x + 1.10 Gas station: y = 0.99x + 1.50 5 refills make the costs equal C. Convenience store: y = 0.99x + 1.10 Gas station: y = 0.99x + 1.50 The costs are never equal D. Convenience store: y = 1.10x + 0.99 Gas station: y = 1.50x + 0.99 5 refills make the costs equal