Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
Answer:
The coordinate of the rest stop is: 
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
--- Team hotel
--- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:

This gives:


Open bracket

Solving (b): Distance between the hotel and the stadium
We have:
--- Team hotel
--- Stadium
The distance (d) is:

So, we have:





From the question, we have:

So:


Answer: y = 7x - 6
Step-by-step explanation:
7 = m (slope)
-6 = y-intercept
Answer:
Image below!
Step-by-step explanation:
<u>Plotting </u>
<u />
Step 1: determine the y-intercept

- plot the point as the first point on the graph
Step 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)
Step 3: Go to the other side of the graph of the first point (y-intercept)
- move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)
<em>When you've completed this process, it should look like this:</em>