By definition, we have

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that 
In this case, the absolute value doesn't do anything: the equation is

We are supposing
, so we can accept this solution.
Now, suppose that
. Now the sign of the expression is flipped by the absolute value, and the equation becomes

Again, the solution is coherent with the assumption, so we can accept this value as well.
Answer:
505/19
Step-by-step explanation:
Easy
so [3^3-(1/2)^(-3)*(1/19)]
simplify
3^3-8/19
3^3=27
27-8/19
convert element to fraction
(27*19)/19-8/19
combine
(27*19-8)/19
505/19
Have a wonderful day ask me if you have more questions about MATH that goes for anyone who needs math help
The wood is 10 inches and you're cutting it into 1/2 pieces, so divide 10 by 1/2, which is 20, The carpenter can cut 20 dowels.
Perimeter= 2l+2w
126= 2l+2w
l=2w
Substitute the value for l
126= 2(2w)+2w
126= 4w+2w
126=6w
21=w
Plug the value for w in to find l
l=2(21)
l=42
Final answer: Length-42 ft, Width-21 ft
Answer:
deeznutshehehehehe
Step-by-step explanation:
lolol gegegeheheh