Use an inverse matrix to solve the given system of equations. 4x - y + 3z = 25 9x + 4y - 2z = 25-6x - 3y + z = -19
A. (3, 5, 2)
B. (-3, 2, 6)
C. (3, 2, 5)
D. No solution
Answer: C
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Evaluate the improper integral.
A.
B.
C.
D.
If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula is sometimes used:
?
?wherea,b, andcare the given lengths of the sides, and . Use this formula to find the area of a triangle with the lengths given below (correct to the nearest square foot).
? ft,
ft, and
ft
?
A. 41 ft2
B. 3 ft2
C. 6 ft2
D. 13 ft2
E. 14 ft2
Solve.The speed of a ball dropped from a tower is given by the linear function f(t) = 32t where f(t) is in feet per second and t is the number of seconds since the ball was dropped. Find the speed of the ball after 9 seconds.
A. 32 feet per second B. 278 feet per second C. 9 feet per second D. 288 feet per second
Solve.y varies inversely as x. If y = when x = 5, find y when x = 6.
A.
B.
C.
D. 3