I used the generic rectangle/diamond method, although the quadratic formula would work just as well with a=3, b=11, c=6. Put that into the quadratic formula

to get that your factors are x = -2/3 and -3. Putting those into factorization form you get the 2 factors as (3x+2)(x+3)
Answer: the Jones family paid $164
Step-by-step explanation:
Let x represent the one time charge that smith lake boat rentals charge for cleaning.
The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is
11 - 6:30/= 7.5 hours
Therefore,
25 × 7.5 + x = 226.5
187.5 + x = 226.5
x = 226.5 - 187.5
x = $39
If the jones family rented a boat from 8am-1pm, the number of hours would be 5 hours.
The amount that they paid is
39 + 5 × 25 = 39 + 125
= $164
Parallel lines
Explanation:
Answers:
a) 
b) 
c) 
d) 
Step-by-step explanation:
In this case we are dealing with angles, which can be expressed in degrees (
) or radians (
).
Now, before making the conversions we have to know the equivalence between degrees and radians:

Taking this information into account, let's begin with the answers:
a) 
b) 
c) 
d) 
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:
<u>Step 1: Define</u>
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formulas]:

- [Distance] [√Radical] (Parenthesis) Add/Subtract:

- [Distance] [√Radical] Evaluate exponents:

- [Distance] [√Radical] Add:

- [Distance] [√Radical] Simplify:
