Use the Simplex Method for Solving Nonstandard Problems to solve the linear programming problem
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Solve the problem.Find the equation of the plane through the point P(8, -8, 7) and perpendicular to the line 
.
A. 7x + 4y + 5z = -59 B. 7x + 4y + 5z = 7 C. 7x + 4y + 5z = 16 D. 7x + 4y + 5z = 59
Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid 
and the xy-plane.
A. 
= 0, 
= 0, 
= 4
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 32
D. 
= 0, 
= 0, 
= 
Solve the problem.A line from the top of a cliff to the ground passes just over the top of a pole 7.0 ft high and meets the ground at a point 6.0 ft from the base of the pole. If the point is 83 ft from the base of the cliff, how high is the cliff? Round to the nearest unit.
A. 97 ft B. 7 ft C. 3486 ft D. 581 ft
Use the vertical angle property to find the indicated angle measures.In the figure, m?5 = 62° and m?6 = 70°. Find m?1, m?2, m?3, and m?4.
A. m?1 = 62°; m?2 = 62°; m?3 = 70°; m?4 = 70° B. m?1 = 48°; m?2 = 62°; m?3 = 70°; m?4 = 48° C. m?1 = 62°; m?2 = 48°; m?3 = 70°; m?4 = 48° D. m?1 = 48°; m?2 = 70°; m?3 = 62°; m?4 = 48°