Solve the problem.For the triangle with vertices located at A(3, 4, 5), B(5, 5, 4), and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.

A. i + 1j + k
B. 5i + j + k
C. 3i + j + k
D. 4i + j + k


Answer: C

Mathematics

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Decide whether the statement is true or false.  is irrational.

A. True B. False

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Factor, if possible.12x2y2 + 23xy2 + 10y2

A. y2(4x + 5)(3x + 2)  B. y2(4x + 5)(3x - 2) C. (4xy + 5y)(3xy + 2y) D. y2(4x - 5)(3x + 2)

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Use reduction formulas to evaluate the integral.

A. 4 sin 2-  sin3 2+ C
B. 2 sin 2-  sin3 2+ C
C. 2 sin 2-  cos3 2+ C
D. 2 sin 2+  sin3 2+ C

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Multiply.  

A. 4510.52 B. 45.1052 C. 451.052 D. 4.51052

Mathematics