Solve.  x + y + z = 7  x - y + 2z = 75x + y + z = 11

A. (4, 1, 2)
B. (1, 4, 2)
C. (1, 2, 4)
D. (4, 2, 1)


Answer: C

Mathematics

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Compute the unit binormal vector and torsion of the curve. r(t) = 

A. B(t) = , ? = 
B. B(t) = , ? = 
C. B(t) = , ? = 
D. B(t) = , ? = 

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Solve.The roof of a building is in the shape of the hyperbola  where x and y are in meters. Determine the distance, w, between the outside walls.A = 10 m

A. 56 m B. 15 m C. 7.5 m D. 12 m

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Write an inequality statement using the numbers in the problem.As part of a fund raiser, Maria sold 296 candy bars. Drew sold 169 candy bars. Write an inequality statement using ? or ? comparing the numbers 296 and 169.

A. 296 ? 169 B. 296 ? 169

Mathematics

Solve the problem.A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 230 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

A. 826.56 ft B. 1739.84 ft C. 913.28 ft D. 413.28 ft

Mathematics