Carter stated that 5(x + 9) - 3x is the same as 2x + 45. Lori disagreed with him and said that an equivalent expression is 2x + 9. Who was right?

Carter;

5 ( x + 9 ) - 3x = 2x + 45

Step-by-step explanation:

Simplify the equation;

5 ( x + 9 ) - 3x

Distribute the 5, remember, you have to distribute 5 over both terms.

5x + 45 - 3x

Combine like terms;

2x + 45

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