Answer:
Step-by-step explanation:
yes
Answer: Does this help?
Step-by-step explanation:
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
A + s = 504
s = a + 54
a + (a + 54) = 504
2a + 54 = 504
2a = 504 - 54
2a = 450
a = 450/2
a = 225 <=== adults
a + s = 504
225 + s = 504
s = 504 - 225
s = 279 <=== students
Answer:
(1, - 3)
Step-by-step explanation:
Remember the formula for dividing a segment in it's respective ratio a:b. In this case let's say a = 5, and b = 1;
x = bx1 + ax2/a + b
= 1(- 4) + 5(5)/5 + 1
= - 4 + 10/6
= 6/6 = 1
y = by1 + ay2/a + b
= 1(2) + 5(- 4)/5 + 1
= 2 - 20/6
= - 3
Therefore our solution should be (1, - 3). Remember though that there can be two solutions in this case, as a can be assigned as 1, and b as 5.
