<span>It will take Yanni 20 minutes to catch up with Tracy. This can be determined with the fact that average velocity equals change in distance divided by change in time. Rearrange the equation so that we are solving for the final time, then set Tracy's equation equal to Yanni's equation and solve for the final time.</span>
Answer: C
Step-by-step explanation:
Since this is an isosceles triangle as indicated by the markers on QP and PR, we know that QS and SR are equivalent.
To find the value of n, we set QS and SR equal to each other.
6n+3=4n+11 [combine like terms]
2n=8 [divide both sides by 2]
n=4
Now that we know n=4, we know that A is incorrect. What we can do is use the value of n to solve for QS, SR, and QR.
QS
6(4)+3=13
Since the length of QS is 13, we know B is incorrect.
SR
4(4)+11=27
Since SR is 27, C is a correct answer.
QR
13+27=40
Since QR is 40, the only correct answer is C.
Answer:
It is impossible to find two points that are both 1 inch and 1.5 inches from the point A simultaneously as shown in the following proof
From segment addition postulate given a point C that is between the points of a segment AB, we have;
AC + CB = AB
Therefore, where AC = 1 inch and CB = 1.5 inches, we have;
AC + CB = 1 inch + 1.5 inches = 2.5 inches ≠ AB = 3 inches
However it is possible to find two points in which one of the points is 1 inch from the point A while the other point is 1.5 inches from the point B
Step-by-step explanation:
Answer:
C is the correct option.
Step-by-step explanation:
We have been given that
The profit is the difference of revenue and cost function.
Mathematically, we can write profit function as
We know that 
. Thus, we have
Plugging, the r(x) and c(x) functions
Distribute negative over the parenthesis
Combine the like terms. 20x-4x = 16x
C is the correct option.
