Answer:
<em>m</em> = 3/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

- Perpendicular lines are the negative reciprocal of the given line
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point G(-2, 3)
Point H(1, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
<em />
<em>Line GH</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

<em>Perpendicular line</em>
- Negative:

- Reciprocate:

Answer: The answer is −6p^2-23p-20
The opposite of -3.4 would be positive 3.4
Answer: 
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>