What is the value of a in the equation 5 a-10b=54, when b=3

B= 3 -> 5a-30 = 54 -> 5a = 84 -> a = 16.8

A = 16.8
5a - 10(3) = 54
5a - 30 = 54
      +30   +30
5a = 84
5       5
a = 16.8

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.