-6K – 3 = 39. Please solve this equation for K. Type your work in.

k = -7

Step-by-step explanation:

-6k-3 = 39

Add 3 to each side

-6k-3+3 = 39+3

-6k = 42

Divide each side by -6

-6k/-6 = 42/-6

k = -7

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