How many solutions exist for the given equation3(x-2) = 22-x

 x = 7

It has only one solution.

Step-by-step explanation:

Given : 3(x-2) = 22-x

To find : how many solutions exist for the given equation

Solution : We have given

3(x-2) = 22-x

Distributes 3 over x -2.

3x - 6 = 22- x

On adding both sides b y 6

3x = 22+ 6 - x .

3x  = 28 - x .

3x +x = 28.

4x = 28.

On dividing both sides by 4

x = 7

It has only one solution.

Therefore, x = 7

It has only one solution.

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°

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step-by-step explanation: