If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(-4, -4) (1, 4) (4, 2)

A. 34
B. 52
C. 26
D. 17


Answer: D

Mathematics

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Solve the problem.Assume that the profit generated by a product is given by  where x is the number of units sold. If the profit keeps changing at a rate of  per month, then how fast are the sales changing when the number of units sold is 600? (Round your answer to the nearest dollar per month.)

A. $146,969/month B. $27/month C. $8165/month D. $16,330/month

Mathematics

Provide an appropriate response.Solving for fractal dimension, we use the rule that .

A. log = log a - log b
B. log(a + b) = log(a) log(b)
C. log ab = log a + log b
D. log ax = x log a

Mathematics

Identify the type of surface represented by the given equation. +  = 

A.

Ellipsoid

B. Elliptical cone
C. Elliptical paraboloid
D. Hyperbolic paraboloid

Mathematics

For an election with 4 candidates (A, B, C, and D), we have the following preference schedule: Which candidate wins in the pairwise comparison between candidate A and candidate D?

A. A B. Neither - it is a tie. C. Cannot be determined from the information given. D. D E. none of these

Mathematics