Find the 3 × 3 matrix that produces the described composite 2D transformation, using homogeneous coordinates.Rotate points through 45° and then scale the x-coordinate by 0.6 and the y-coordinate by 0.8.
A.
B.
C.
D.
Answer: A
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Solve the problem.A Ferris wheel has a diameter of 400 feet and the bottom of the Ferris wheel is 12 feet above the ground. Find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel, as illustrated.
A. x2 + y2 = 40,000 B. x2 + (y - 200)2 = 160,000 C. x2 + (y - 212)2 = 40,000 D. x2 + (y - 200)2 = 40,000
Simplify. Write your answer in the form a + bi, where a and b are real numbers.Let z = -8 - 6i and w = 13 + 4i. Find z + w.
A. 5 + 2i B. 5 - 2i C. 13 - 2i D. 13 + 2i
Find the equation that the given graph represents.
A. f(x) = (x + 6)4 B. f(x) = -x4 + 3x2 + 6 C. f(x) = x4 - 3x2 + 6 D. f(x) = -x3 - 6x2 - x + 6
Solve the logarithmic equation.log4 (x - 5) + log4 (x - 5) = 1
A. -,
B. 7
C.
D. -7, 7