Hello,
Please, see the detailed answer in the attached files.
Thanks.
Answer:
The distance is
or
.
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula 
Insert (0,7) and (4,5)
= 
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:

Replacing in the first equation:





So Sasha exercises 7 hours per week.
Max:



Max exercises 13 hours a week.
Answer:
The number of red circles to be added would be equal to 8 times the original amount of red circles
Step-by-step explanation:
Let
x ----> the number of red circles
y ----> the number of blue circles
Originally

----> equation A
How many more circles would need to be added to make the ratio of red to blue 3:1
Let
n ----> the number of additional red circles
----> equation B
substitute equation A in equation B

solve for n

therefore
The number of red circles to be added would be equal to 8 times the original amount of red circles