Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(-4, 5) and (-5, 8)
A. , 2.828
B. , 2.000
C. , 3.162
D. , 4.472
Answer: C
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Multiply the polynomials.(-8m + 9)(2m2 + m + 9)
A. -6m2 - 63m + 81 B. -16m3 + 26m2 - 63m + 81 C. -16m3 - 63m + 81 D. -16m3 + 10m2 - 63m + 81
Find the gradient field F of the function f.f(x, y, z) =
A. F = i + 2yj + 2zk
B. F = (x2 + y2 + z2)i +
j +
k
C. F = i +
j +
k
D. F = i +
j +
k
Use these sets to find the following. Identify any disjoint sets.Let U = {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}, M = {9, 11, 13, 15},
and
(R ? N) ? M'
A. N, or {10, 12, 14, 16, 18} B. M, or {9, 11, 13, 15} C. ?; M' and (R ? N) are disjoint sets. D. {9, 10, 12, 14, 16, 18}
Translate the stated rule or relationship to a formula.The area of a circle, A, is equal to the product of ? and the square of the radius, r, of the circle.
A. A = ?r B. A = ?/r2 C. A = ? + r2 D. A = ?r2