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Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>To calculate the distance between two points on a coordinate plane, the distance formula used is: .
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
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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.