Answer:
The maximum length of the second piece is 61.5 ft.
Step-by-step explanation:
We know that the rope is 100 ft long.
There are three pieces that make up the 100 ft. The first is length x, the second is three times as long as the first, so it would be 3x, and the third is 18ft.
So if we were to write this as an equation it would look something like this: x + 3x + 18 = 100. We can simplify this some more.
4x + 18 = 100
4x = 82
x = 20.5
Now that we know the length or the first piece / x. We can easily find the length of the second (3x) by plugging in 20.5 for x.
We find that the maximum length of the second piece of rope is 61.5 feet.
Good luck, hope that helps!
Answer: it;s D..........................
I cant read the other words
Answer: 
Step-by-step explanation:
This car follows a line, hence its motion can be modeled by the Line equation.
In fact, we already have two points of the line, if we call 
the time in hours and 
the traveled distance in miles:
Point 1: 
Since we are told the car's initial position is 300 miles in the time 0 h
Point 2: 
Since we are told the car's final position is 180 miles after 3h
<u />
<u>Let's find the Slope 
:
</u>
This is the slope of the line
Now, the equation of the line is:
We already know the slope, now we have to find the intersection point with the y-axis (
) with any of the given points. Let's choose Point 1:
Isolating :
Then, the equation of the line is:
