Factor this expression completely
18xy - 9wy - 12y

A. 3y(6x-3w-4)

B. 3(6xy-3wy-4y)

C. -3y(-6x+3w+4)

D. 9y(2x-3w-12)

3y(6x-3w-4)

Step-by-step explanation:

18xy - 9wy - 12y

18xy = 3*3*2*x*y

9wy = 3*3*w*y

12y = 3*2*2*y

We can factor out a 3 and a y

3*3*2*x*y - 3*3*w*y - 3*2*2*y

3y(3*2*x - 3*w - 2*2)

3y(6x-3w-4)

answer: 12

step-by-step explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this