Answer:

Step-by-step explanation:
Given

Required
Determine the equation of line that passes through (-8,0) and parallel to 
Parallel lines have the same slope.
In 
The slope, m is

because the general form of a linear equation is:

Where

So, by comparison:

Next, is to determine the equation of line through (-8,0)
This is calculated using:

Where


So, we have:






Answer:
¾ miles
Step-by-step explanation:
⅓ : ¼ mile
1 : X
X = ¾
Answer:


Step-by-step explanation:
Given
Represent apple with A and Banana with B
Required
Determine the relationship between A and B
From the question, we understand that:
B costs half as much as A
This can be represented as:


Multiply both sides by 2



A parallelogram is just a rectangle with the sides angled, it’s pretty much the same as a rectangle and all your working out should be the same as a rectangle
Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27