The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.
Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.
Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6) The graph in the attached figure
Step-by-step explanation:
Part 1) we have


The equation of the line into point slope form is equal to

substitute



Part 2) we know that
If two lines are perpendicular
then
the product of their slopes is equal to minus one
so

the slope of the line 1 is equal to

Find the slope m2


Find the equation of the line 2
we have


The equation of the line into point slope form is equal to

substitute



Part 3) we have

The equation of the line into point slope form is equal to

substitute



Part 4) we have

-----> y-intercept
we know that
The equation of the line into slope intercept form is equal to

substitute the values

Part 5) we have that
The slope of the line 4 is equal to 
so
the slope of the line perpendicular to the line 4 is equal to

therefore
in this problem we have


The equation of the line into point slope form is equal to

substitute



Part 6)
using a graphing tool
see the attached figure
The areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)
<h3>How to determine the total areas?</h3>
<u>The figure 1</u>
In this figure, we have
Length = x + 1
Width = 4
The area is calculated as:
Area = Length * Width
So, we have
Area = 4(x + 1)
<u>The figure 2</u>
In this figure, we have
Length = d + 4
Width = 7
The area is calculated as:
Area = Length * Width
So, we have
Area = 7(d + 4)
<u>The figure 3</u>
In this figure, we have
Length = y + 3
Width = y
The area is calculated as:
Area = Length * Width
So, we have
Area = y(y + 3)
Hence, the areas of the figures are 4(x + 1), 7(d + 4) and y(y + 3)
Read more about areas at:
brainly.com/question/24487155
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Answer:
3(c+4)
Step-by-step explanation:
It would usually be 3 x 4, but since there is a variable, it can`t be multiplied (unless you know what the value of the variable is). Thus the expression is 3(c+4).