That line means the other side is also x

remember pythagoran theorem
for legs length a and b and hypootnuse length c
a²+b²=c²

so

legs aer x and x
hyptonuse is 6

x²+x²=6²
2x²=36
divide both sides by 2
x²=18
sqrt both sides
x=(√9)(√2)
x=3√2

7 0

3 years ago

Team Alpha had one fourth as many people as team Beta. After 6 people quit team Beta and 12 people were transferred to team Alph

gregori [183]

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.

6 0

3 years ago