G = 3t2 – 5t + 6
P= -8t² + 7t – 9
G + P=
Your answer should be a polynomial in standard
form.

-5t² + 2t - 3

Step-by-step explanation:

G = 3t2 – 5t + 6

P = -8t² + 7t – 9

G + P

= (3t² – 5t + 6) + (-8t² + 7t – 9)

= 3t² - 8t² - 5t + 7t + 6 - 9

= -5t² + 2t - 3

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