Solve the problem.Find the equation of the plane perpendicular to the plane with equation x - 2y + 5z = 15 and the plane with equation3x + z = -7 and containing the point P = (-5, 0, -7).

A. x - 2y + 5z + 40 = 0
B. 3x + z + 22 = 0
C. -x + 7y + 3z - 16 = 0
D. -x + 7y + 3z + 16 = 0


Answer: D

Mathematics

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Divide. If a repeating decimal is obtained, use notation such as 0. , 0., or 0..

A. 0.3
B. 0.
C. 0.36
D. 0.

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Solve the problem.Two angles are supplementary if the sum of their measures is 180°. If the measure of one angle is given by ()° and the measure of its supplement is given by ()°, find the measures of the two angles.

A. 40°, 140° B. 124°, 56° C. 80°, 100° D. 62°, 118°

Mathematics

Find the minimum or maximum value of f (as indicated) subject to the given constraint.Minimum of f(x, y, z) = x2 + y2 + z2,subject to x + 2y - z = 3

A. Minimum =  at 
B. Minimum = 1 at (1, 1, 0)
C. Minimum =  at 
D. Minimum = 1 at (0, 1, -1)

Mathematics

Solve the formula for the specified letter.A = h(B + b) for b

A. b = 
B. b = 
C. b = 
D. b = 2A - Bh

Mathematics