Find the area of the following triangle T.The vertices of T are O(0, 0, 0), P(2, 4, 1) and Q(3, 3, 1).
A.
B.
C.
D.
Answer: C
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Find the domain of the composite function (f ? g)(x). Write the domain in interval notation.f(x) = , g(x) = x + 4
A. (-?, -5) ? (-5, -4) ? (-4, ?) B. (-?, -9) ? (-9, ?) C. (-?, ?) D. (-?, -5) ? (-5, ?)
Solve the problem.A pier 1250 meters long extends at an angle from the shoreline. A surveyor walks to a point 1500 meters down the shoreline from the pier and measures the angle formed by the ends of the pier. If is found to be 53°. What acute angle (correct to the nearest tenth of a degree) does the pier form with the shoreline? Is there more than one possibility? If so, how can we know which is the correct one?
What will be an ideal response?
Express the sum or difference as a product of sines and/or cosines.sin (6?) - sin (4?)
A. 2 sin (5?) cos ? B. -2 sin ? cos (5?) C. 2 sin ? cos (5?) D. -2 sin (5?) cos ?
Factor any difference of two squares, or state that the polynomial is prime. Assume any variable exponents represent whole numbers.25x2 + 81
A. (5x - 9)2 B. (5x + 9)2 C. prime D. (5x + 9)(5x - 9)