What is the midpoint of a line segment with endpoints at
(-3.5, -2.1) and (5.7,3.3)?

(1.1 , 0.6)

Step-by-step explanation:

midpoint (x , y): ( x+x') /2 , (y+y') / 2

x = (-3.5 + 5.7) / 2 = 2.2 / 2 = 1.1

y = (-2.1 + 3.3) / 2 = 1.2 / 2 = 0.6

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