Solve the problem.A ship leaves point A and travels directly north to point B. From point B, the ship then travels due east to point C. The magnitude of the vector from point A to point C is 128. Find the magnitude of the northern vector. Find the magnitude of the eastern vector.

A. 64 north; 64 east
B. 64 north; 64 east
C. 64 north; 64 east
D. 64 north; 64 east


Answer: D

Mathematics

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Write the decimal using the indicated form.850.24; expanded exponential form

A. 8 ? 103 + 5 ? 102 + 0 ? 101 + 2 ? 100 + 4 ? 10-1 B. 8 ? 10-2 + 5 ? 10-1 + 0 ? 100 + 2 ? 101 + 4 ? 102 C. 8 ? 103 + 5 ? 102 + 0 ? 101 + 2 ? 10-1 + 4 ? 10-2 D. 8 ? 102 + 5 ? 101 + 0 ? 100 + 2 ? 10-1 + 4 ? 10-2

Mathematics

Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x3 - x2 + 25x - 25

A. f(x) = (x - 1)(x + 5i)(x - 5i) B. f(x) = (x - 1)(x + 1)(x + 25) C. f(x) = (x - 1)(x + 5)(x - 5) D. f(x) = (x - 25)(x + i)(x - i)

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A. 5xy
B. 8xy
C. 8xy
D. 8xy

Mathematics

Solve the problem.A room has an area of 336 ft2. One dimension is 5 ft more than the other. Find the dimensions of the room.

A. 16 ft, 21 ft B. 11 ft, 16 ft C. 18 ft, 23 ft D. 21 ft, 26 ft

Mathematics