Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
<u>Step 1: Define</u>
<em>Identify</em>
Point (5, 10)
Point (10, 12)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

Answer:
6x-24y
Step-by-step explanation:
Step 1: -30x-12y+36x-12y
Distribute-3 to 10x and 4y
Then distribute 6 to 6x and -2y
Step 2: 6x-24y
After that add up like terms
Answer:
(b) (x -10)(x +10)
Step-by-step explanation:
The factorization of the difference of squares is a special form:
a² -b² = (a -b)(a +b)
<h3>Application</h3>
Your expression is recognizable as the difference of squares:
x² -100 = x -10²
Using the above form, the factorization is ...
= (x -10)(x +10) . . . . . . . . matches the second choice
Tan 2 pi/3= (sin2pi/3)/(cos2pi/3)= (sqrt 3)/2 dividend by (-1/2)= - sqrt 3
C is your answer.
It contains the proper points and form. A is not in point-slope form and B has the incorrect slope.