Solve the problem.The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is ,where the symbol ± indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (6, 10), (8, -8), and (-9, -4).

A. 3
B. 298
C. 149
D. 6


Answer: C

Mathematics

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Change the numbers to their percent equivalents.0.017

A. 1.7% B. 0.17% C. 17% D. 0.0017%

Mathematics

Solve the problem.Consider the generic weighted voting system . Which of the following mathematical statements is equivalent to saying that P1 is a dictator?

A. w2 + w3 + . . . + wN < q and w1 < q B. w1 ? q C. w1 > w2 D. w1 > q E. none of these

Mathematics

Find the indicated matrix.Let C = . Find  C.

A.

B.

C.

D.

Mathematics

Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to two decimal places.log4.5 180

A. 40.00 B. 0.29 C. 3.45 D. 2.26

Mathematics