A triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) has area equal to the absolute value of D, where . Use this information to solve the problem.Use D to find the area of the triangle shown.

A. 13.0
B. 14.5
C. 14.0
D. 13.5


Answer: C

Mathematics

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Use Simpson's Rule with n = 4 steps to estimate the integral.

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Solve the system for x and y. Show your answer as an ordered pair, (x, y). -5x - 5y = -10 3x + 2y = 6

A. (2, 0) B. (1, 1) C. No solution D. (2, 1)

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Express as a sum of logarithms.logr 4T

A. logr 4 + logr T + logr r B. log7 r + logT r C. logr 4 + logr T D. log 4 + log T

Mathematics

Solve the problem. Round to an appropriate number of significant digits.Let p represent the price of an item in dollars, while q represents demand in the first equation and supply in the second. Find the equilibrium price and the equilibrium supply/demand.p = 882 - 5qp = 5q - 618

A. $882; 877 B. $150; 132 C. $623; 877 D. $132; 150

Mathematics