Determine whether the vectors v and w are orthogonal.v = 4i - 6j, w = -6i + 4j

A. Orthogonal
B. Not orthogonal


Answer: B

Mathematics

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Give all solutions of the nonlinear system of equations, including those with nonreal complex components.2x2 - 2y2 = 102x2 + 4y2 = 34

A. {(-3, -2), (-2, -3)} B. {(3, -2), (3, 2)} C. {(3, 2), (-3, 2), (3, -2), (-3, -2)} D. {(3, 2), (2, 3), (-3, -2), (-2, -3)}

Mathematics

Obtain an equivalent system by performing the stated elementary operation on the system.Multiply the second equation by -1.  x - 5y + z = 35x - 2y - z = -18 3x + y + 2z = -18  x - 5y + z = -15

A. -x + 5y - z = -3 5x - 2y - z = -18  3x + y + 2z = -18   x - 5y + z = -15 B. x - 5y + z = 3 -5x + 2y + z = -18    3x + y + 2z = -18   x - 5y + z = -15 C. x - 5y + z = 3 -5x + 2y + z = 18   3x + y + 2z = -18   x - 5y + z = -15 D. x - 5y + z = 3 -5x - 2y - z = -18    3x + y + 2z = -18   x - 5y + z = -15

Mathematics

Solve the problem.The manager of a bulk foods establishment sells a trail mix for $6 per pound and premium cashews for $12 per pound. The manager wishes to make 90 pounds of a  mixture that will sell for $10 per pound. How many pounds of each should be used?

A. 30 pounds of trail mix 60 pounds of cashews B. 45 pounds of trail mix 45 pounds of cashews C. 60 pounds of trail mix 30 pounds of cashews D. 75 pounds of trail mix 15 pounds of cashews

Mathematics

Construct the indicated stem-and-leaf.The normal monthly precipitation (in inches) for August is listed for 39 different U.S. cities. 

A.
   
B.
   

Mathematics