3(5j+2)=2(3j-6)(if there is no solution, type in ''no solution'')j= answer

  j = -2

Step-by-step explanation:

It usually works well to start by eliminating parentheses.

  15j +6 = 6j -12

Now you can subtract 6j from both sides to get the variable term on one side of the equation only:

  9j +6 = -12

And you can subtract 6 from both sides to get the variable term by itself:

  9j = -18

Now, dividing by the coefficient of the variable gives you the solution:

  j = -2

The solution is j = -2.

j = -2

Step-by-step explanation:

3 (5j + 2) = 2 (3j - 6)

15j + 6 = 6j - 12

15j - 6j = - 12 - 6

9j = - 18

j = - 18/9

j = - 2

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west