Solve the equation.
3x – 2 + 4x = 7 (x + 1) - 9

x = 1

Step-by-step explanation:

3x - 2 + 4x = 7x + 7 - 9

-2x + 4x = 7x - 3x + 7 - 9

2x = 4x -2

2 = 4x - 2x

2 = 2x

x = 2/2

x = 1

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

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step-by-step explanation: