Just apply the Pythagoras Theorem,
LN² = LM² + MN²
LN² = 7² + 8²
LN² = 49 + 64
LN = √113
In short, Your Answer would be: Option D
Hope this helps!
Notice that the line with negative slope has a y-intercept of 5 and the line with positive slope has a y-intercept of 2.
On the other hand, the slope of the line with negative slope is -2, while the slope of the line with positive slope is 3 (This can be identified since in one case, the value of y decreases by 2 for each increase of 1 unit in x, and in the other, the value of y increases by 3 for each increase of 1 unit in x).
Using the y-intercept form to represent each line, the system of equations represented by the graph must be equivalent to:

From the given options, the one that displays the correct system of equations is option A.
Therefore, the answer is:
60 miles an hour for 45 minutes = 45 miles
50 miles per hour for 30 minutes = 25 miles
Total =70 miles
Let's say "m" is the manufactoring cost per drill (in dollars).
Then the manufactorer sells it for $4 more, so this would be:
m+4
Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:
1.4(m+4)
P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).
Simplifying, you could rewrite this as:
P(m) = 1.4m + 5.6