2. Amy is writing the program for a video game. For one part of the game she uses the rule (x, y)  (x + 2, y - 3) to move points on the screen.

(a) What output does the rule give when the input is (-5, 2)? Show your work.

(b) What output does the rule give when the input is (3, -4)? Show your work.

d

step-by-step explanation:

d

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