Question: (5x-8)/(45x^2--42x-48) a.) 9x - 48 b.) 9x - 23 c.) 9x - 6 d.) 9x + 6

To solve this problem you must apply the proccedure shown below:

1. You have the folllowing expression given in the problem above:

2. The first thing you must do is to factor the denominator, as following:

3. Now, simplify it and apply the distributive property in the denominator:

The answer is:

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