Answer:
Step-by-step explanation
Note that if x>2, then x+3>3+2=5. Then x+3>0. Recall that the absolute value function is defined as


Since x+3>0, we have that |x+3|=x+3
Answer:
The answer is 50.
Step-by-step explanation:
Set up a proportion: 
Step 2- Multiply 41 by 100 to get 4100
Step 3. Divide 4100 by 82 to get 50.
Hope this helps! :)
Answer:
to guarantee that both formulas are the same.
Step-by-step explanation:
Dimensionally speaking, the volume is the cube of length. By direct comparison, we find that
have length units, whereas
have area unit, that is, the square of length.
Hence,
to guarantee that both formulas are the same.
Let's take the number as x.
two-fifths of a number = 2x / 5
decreased by 3 = (2x/5) - 3
(2x/5) - 3
(2*25/5) - 3
(2*5) - 3
10 - 3
7
We need to put these equations into y=mx+b format.
5x-3y=-6
-3y=-5x-6. (take 5x from both sides)
y=5/3 x +2 ( divide both sides by -3)
The slope is 5/3
3x+5y=-20
5y= -3x -20 (subtract 3x from both sides)
y=-3/5x -4 (divide both sides by 5)
The slope is -3/5
The slopes of perpendicular lines are the opposite (+/-) reciprocal. We have 5/3 and -3/5. This shows they are perpendicular.