Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.

a.   y = 6

b.  RS = 44

    ST = 37

    RT = 81

Step-by-step explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a.  y

b.  RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81

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

answer: 819.89 miles across america

step-by-step explanation: