Point A is located at (-5, 8) and is translated 4 units up. What are the coordinates of point A'?
(-1,8)
(-5, 12)
(-9,8)
(5,4)

(-5, 12)

Step-by-step explanation:

Translated 4 units up means add 4 to the y-coordinate 8

(-5 , 8 + 4) =  (-5, 12) for point A

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