3. Write expressions for the following, where x and y represent numbe
(a)
10 less than y
(b)
10 minus 6 times x
(c)
the sum of 3 times x and 5 times y
(d)
the sum of 3x and 4 divided by 7 times x.

Step-by-step explanation:

(a) 10 < y

(b) 10 - 6x

(c) 3x + 5y

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