First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form , and consider the coefficient . So, we have
So, the slope of line L is 2/3.
Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).
When you are given the slope and a point of a line, its equation is given by
So, if you plug your values, you have
which you can simplify into
send a picture of the question instead okay I don't understand
Divide distance by time
Truck : 333/6 = 55.5 miles per hour
Car: 210/4 = 52.5 miles per hour
Answer:
A' = 6(3t +1)
Step-by-step explanation:
The area is the square of the side length, so ...
A = (3t +1)²
The derivative with respect to t is then
A' = 2(3t +1)·(3) = 6(3t +1)
If you like, you can multiply out the area expression first, then differentiate.
A = 9t² +6t +1
A' = 18t +6
This can be factored, if you like, to ...
A' = 6(3t +1)