Solve the problem.Calculate the coordinates of the new location of the point (7, 0) when it is rotated 45° clockwise about the origin. Remember that it is the matrix  that rotates a point 45° clockwise about the origin.

A.
B.
C.
D.


Answer: C

Mathematics

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Solve the equation.-2.5c = -15.0

A. {12.5} B. {-12.5} C. {2.0} D. {6.0}

Mathematics

Find the product.(-2x + 8)(-2x + 2)

A. -4x2 - 20x + 16 B. 4x2 - 20x + 16 C. -4x2 - 20x - 20 D. 4x2 - 20x - 20

Mathematics

Solve. If necessary, round answers to the nearest hundredth.15 students were asked how much cash they had with them and the results were recorded.22, 25, 15, 10, 0, 5, 2, 40, 105, 20, 15, 60, 45, 8, 11How many students had more cash than the mean?

A. 11 B. 4 C. 5 D. 7

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15  x - 3y ? -3

A. Maximum 75; at (0, 15) B. Maximum 38; at (6, 4) C. Maximum 22.5; at (7.5, 0) D. Maximum 33; at (6, 3)

Mathematics