Answer:
4.24 km
Step-by-step explanation:
The x-component of the displacement after the turn is ...
d2·cos(θ) = (3.38 km)cos(65.3°) ≈ 1.41239 km
Adding this to the displacement before the turn, we have ...
x-component of displacement = 2.83 km + 1.41 km = 4.24 km
You can write this in a proportion way: 6/55 = x/44.
Multiply both sides by 11 to get rid of the 55 and 44: 6/5 = x/4
Now, multiply both sides by 20: 5x = 24. x = 4.8
Therefore, he can run 4.8 miles in 44 minutes.
For this case we have the following inequality:

The first thing we must do is to graph the linear function:

Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer: See attached image.
Answer:
c = 
Step-by-step explanation:
Given
R= 
Clear the radical by squaring both sides
R² = b² - 4ac ( subtract b² from both sides )
R² - b² = - 4ac ( multiply all terms by - 1 )
b² - R² = 4ac ( divide both sides by 4a )
= c
In scientific notation, the answer is 3.5*10^-6 .
I hope that this helps