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 with vertices at P, Q, and R. P(-5, -5), Q(1, 5), R(3, -2)

A. 62
B. 0
C. 31
D. 43


Answer: C

Mathematics

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Solve using the multiplication principle.- y = 26

A. -78 B. -104 C. -100 D. -30

Mathematics

Solve the problem.According to the Gas Kinetic Theory, the average speed of a gas particle is given by  where  is the speed in m/s, k is the constant 1.38 × 10-23, T is the temperature of the gas in Kelvin, and m is the mass of the gas particle in kg. What is the average speed of an oxygen molecule with a mass of at a temperature of 500 K?

A. 174 m/s B. 1020 m/s C. 330,700 m/s D. 575 m/s

Mathematics

Use the commutative and associative properties to simplify the expression.-4 + (4x - 2)

A. -6 + 4x B. -6x - 2 C. -8x D. 8 + 4x

Mathematics

Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.-34 - 

A. - 2
B. - 1
C.
D. - 

Mathematics