Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
Michelle will earn $15 from the interest rate.
The square root of 71 is equal to 8.426149773176359...., which is between 8 and 9.
To check: square of 8 is 64, and of 9 is 81: 71 is between those two numbers, as it should be.
Answer:

General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 8 on both sides:

- Divide both sides by -6/4:

- Rewrite:

<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:

- Multiply:

- Subtract:
