Answer:
x = ±6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra II</u>
- Extraneous solutions and multiple answers/roots
Step-by-step explanation:
<u>Step 1: Define</u>
-x² = -36
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -1 on both sides: x² = 36
- Square root both sides: x = ±6
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute in -6: -(-6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
- Substitute in 6: -(6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
Here we see that both -6 and 6 do indeed work as solutions.
∴ x = ±6 are both solutions to the equation.
12 is the 4th term? Dont quote me on that though. I am 90% sure.
You could model a strait road by using a segment addition postulate. For instance, if you are between point A and B you could calculate how much future you need to go by subtracting the length of the road by the distance you have traveled. Also, segment addition postulate can be used with City Water Lines or Sewer Lines. They can be used to calculate how much pipe is damaged and needs to be replaced.
Answer:
B. 
Step-by-step explanation: