Answer:
1) x = 15
Step-by-step explanation:
We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse
1)
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
You square root each side so you can get rid of the exponent on x.

x = 15
Answer:
The absolute value wiill change
Step-by-step explanation:
Inserting different values in the absolute value can change the numerical value of the equation as a whole.
Multiplying -15 by 60 yields -900, so the amount of water in the pool changes by -900 gallons in one hour.
First of all not to be rude, but it is order of operations not properties of operations. Second, you can solve equations by going in the order of PEMDAS or Parentheses, Exponents, Multiplication, division, addition, and subtraction. Multiplication and division are switchable, addition and subtraction. If you do not follow this order you get the equation or inequality wrong.