Answer:
The coordinates of the fourth vertex of the rectangle is 
Step-by-step explanation:
Let

using a graphing tool
Plot the vertices of the rectangle
The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C
The intersection point is 
see the attached figure
Answer: i do not no
Step-by-step explanation:
Answer:
Coach pug charges $45 only one time, and an additional of $20 per session.
So if you take x sessions, the total cost will be:
c(x) = $45 + $20*x
Dr. Doberman charges only $30 per session, then the cost for x sessions will be_
d(x) = $30*x
Now, which one is better for you?
We need to see the value of x such that:
d(x) = c(x)
$30*x = $45 + $20*x
$30*x - $20*x = $45
$10*x = $45
x = $45/$10 = 4.5
This means that if you take 4 sessions or less, is better the Dr. Doberman, because in this case we do not have an y-intercept.
If you want to have 5 sessions or more, is better Coach Pug, because the slope of the equation is smaller, so the costs for larger values of x will be smaller.