Answer:
The mid-point of the given line segment is:(5.5,-6.5)
Step-by-step explanation:
let us consider two points A and B with coordinates (a,b) and (c,d) respectively.
let C be the mid point of A and B then then the coordinates of C is given by .
in the given question (a,b)=(9,-8) and (c,d)=(2,-5) so the mid point of these two points are =(5.5,-6.5)
Hence, the coordinates of the midpoint of the line segment with endpoints B(9,-8) and C(2,-5) is (5.5,-6.5).
Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is .
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) = = 255 and the number of students enrolled at 2 = f(2) =
= 15
So, the average increase =
=
= 120.
Hence, the average increase in the number of students enrolled is 120.