How do you solve this equation step-by-step? (below)

4a + 8 - 2a - 3 = 45

a=20

Step-by-step explanation:

4a+8-2a-3=45

-8 on both sides

4a-2a-3=37

+3 on both sides

4a-2a=40

2a=40

a=20

a = 20

Step-by-step explanation:

Let's understand it quickly,

4a + 8 - 2a - 3 = 45

Gather the like terms on RHS and LHS,

4a - 2a = = 45 - 5

2a = 40

a = 40/2

a = 20

Hope it helps!<3

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