Let "a" and "b" represent the numbers of people on teams Alpha and Beta, respectively. The problem statement tells you
a = (1/4)b
b - 6 - 12 = a + 12
The first equation can be rewritten to give an expresion for b:
b = 4a
This can be substituted into the second equation to get
4a -18 = a +12
3a = 30
a = 10
There were originally 10 people on team Alpha.
We know that in two dimensional co-ordinate geometry, the distance,d, between any two points
and
is given by the formula:

We will use the above formula that Darko must have used to find the distance between the two points A(3,-4) and B(-1,3). In this case:
and
.
Thus, the distance,
Therefore, the distance between the given points A(3,-4) and B(-1,3) is:
or 8.06 (approx).
The picture is cut-off. Could you post a bigger version? I just need to see more.
Answer: 6
Step-by-step explanation: