Determine whether the statement is true or false.A positive number is always greater than a negative number.
A. True
B. False
Answer: A
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Prove that the equation is an identity.cos2(A - B) - cos2(A + B) = sin 2A sin 2B
What will be an ideal response?
Find the center of mass of a thin plate covering the given region with the given density function.The region between the curve y = 
and the x-axis from x = 1 to x = 9, with density ?(x) = 
A. 
= 5, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Two sides and an angle are given. First, determine whether the given information results in no triangle, one triangle, or two triangles. Solve each resulting triangle.C = 35°, a = 18.7, c = 16.1
A. one triangle; A = 42°, B = 103°, b = 27.4 B. no triangle C. two triangles; A1 = 42°, B1 = 103°, b1 = 27.4 or A2 = 138°, B2 = 7°, b2 = 3.4 D. two triangles; A1 = 103°, B1 = 42°, b1 = 27.4 or A2 = 7°, B2 = 138°, b2 = 3.4
Factor.3x2 - 18x + 27
A. 3(x - 9)(x + 1) B. (3x - 9)(x - 3) C. 3(x - 3)(x - 3) D. Prime