Solve the problem. Give the answer to the nearest thousandth if necessary.A long-distance runner runs 5 miles south and then 9 miles east. How far is the runner from the starting point?  East --9 mi-->

A. 11.296 mi
B. 5.292 mi
C. 14 mi
D. 10.296 mi


Answer: D

Mathematics

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Find the product.(3x + 12)(3x - 12)

A. 3x2 - 72x - 144 B. 9x2 - 144 C. 9x2 - 72x - 144 D. 9x2 + 72x - 144

Mathematics

Parallel lines are cut by the transversal shown. Determine the measures of the requested angles.In the figure,      and m?ABC = 64°. Determine the measures of angles ?ABE, ?FCD, and ?BCD.

A. m?BCD = m?ABE = m?FCD = 26° B. m?BCD = 64°, m?ABE = m?FCD = 116° C. m?BCD = m?ABE = 64°, m?FCD = 116° D. m?BCD = 64°, m?ABE = m?FCD = 26°

Mathematics

Solve the problem.Consider the generic weighted voting system {q: w1, w2, w3, w4, w5}. Suppose that the winning coalitions are    and  Find the Banzhaf power distribution.

A. P1, P2, P3, P4, P5
B. P1, P2, P3, P4, P5
C. P1, P2, P3, P4, P5
D. P1, P2, P3, P4: 0, P5: 0
E. none of these

Mathematics

Determine the equation of the line described. Put the answer in the slope-intercept form, if possible.Through (9, -8), perpendicular to x = -1

A. y = 8 B. y = -1 C. x = -1 D. y = -8

Mathematics