Find the difference vertically( North and South) and the difference horizontally ( East and West)
Then use the Pythagorean Theorem.
600 North - 200 South = 400 m
400 West - 100 East = 300 m
Now using the Pythagorean Theorem;
400^2 + 300^2 = total displacement^2
Total displacement^2 = 160,000 + 90,000
Total displacement^2 = 250,000
Total displacement = √250,000
Total displacement = 500 m
Answer:
The first option is correct, 12/30 and 25/30
Step-by-step explanation:
To get common denominators, you need to find the GFC (greatest common factor) of 5 and 6, which is 30. Then you would need to make the fractions equal the same as the original fractions, by multiplying.
2/5 = ?/30 <- you can see that 30 is 6 times more than 5. so this means you multiply 2 by 6 to get 12. 12/30
5/6 = ?/30 <- you can see that 30 is 5 times more than 6. so this means you multiply 5 by 5 to get 25. 25/30
(2,-2)(5,7)
7-(-2)= 9
5-2= 3
9/3= 3
slope = 3
(you could also calculate the slope by just counting up how many units it goes up/down when you pick a point from the x-axis and move left/right. basically counting the rise over run)
Answer:
A. 49
Step-by-step explanation:
The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:
![Average rate of change = \frac{f(x2) - f(x1)}{x2 - x1}](https://tex.z-dn.net/?f=%20Average%20rate%20of%20change%20%3D%20%5Cfrac%7Bf%28x2%29%20-%20f%28x1%29%7D%7Bx2%20-%20x1%7D%20)
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
![Average rate of change = \frac{125 - 27}{5 - 3}](https://tex.z-dn.net/?f=%20Average%20rate%20of%20change%20%3D%20%5Cfrac%7B125%20-%2027%7D%7B5%20-%203%7D%20)
![= \frac{98}{2}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B98%7D%7B2%7D%20)
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.
The question you've asked and the question on the attachment are different.
6691 ÷ 28 = 238.9642857
2409 ÷ 19 = 126.7894737