Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
To find slope, use the equation:
(y₂ - y₁)/(x₂ - x₁) = slope
Let:
(8,8) = (x₂, y₂)
(5,5) = (x₁, y₁)
Plug numbers into corresponding areas.
(8 - 5)/(8-5) = 3/3
3/3 = 1
The slope of the line is 1, or 1/1 (rise 1, run 1)
hope this helps
Answer:
20
Step-by-step explanation:
If the three numbers are x, x+1, and x+2, then:
x (x+1) (x+2) = 990
x (x² + 3x + 2) = 990
x³ + 3x² + 2x - 990 = 0
(x - 9) (x² + 12x + 110) = 0
Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.
The sum is:
9 + 10 + 11 = 20
