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

Mathematics

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Divide.(x3 - 2x2 + 2x - 7) ÷ (x + 4)

A. x2 - 6+ 26 + 
B. x3 - 2x2 + 26- 111
C. x2 - 6+ 10 + 
D. x2 - 6+ 26 + 

Mathematics

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

Mathematics

Plot the given point in a rectangular coordinate system.(-5, 1) 

A.

B.

C.

D.

Mathematics

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

Mathematics