Nikita's distance from her for the second part of the race was 1.5 kilometers.
Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:
- 8.75 x 0.65 + 6 x 0 = 5.68
- 8.75 x 0.50 + 6 x 0.15 = 5.275
- 8.75 x 0.40 + 6 x 0.25 = 5
-
100 = 60
- 40 = X
- 40 x 60/100 = X
- 24 = X
- 39 - 24 = 15
- 15 = 1/4 hour
- 6/4 = 1.5
Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.
Learn more about maths in brainly.com/question/22791791
Answer:
8n - 4
Step-by-step explanation:
The numbers here go up in 8, so you have 8n. Afterwards, use the term and the 8 times tables. Eg. 4 is the first term and the first 8 multiple is 8, so 4-8. You have to subtract 4 from 8 to get the first term. Sorry if this didn't help but yeah...
I believe the answer is the circumference
Answer:
The solution of given equation are -1 and 5.
Step-by-step explanation:
The given equation is

We need to solve the above equation by finding the zeros of

The vertex form of an absolute function is

where, a is constant and (h,k) is vertex.
Here, h=2, k=-3. So vertex of the function is (2,-3).
The table of values is
x y
0 -1
2 -3
4 -1
Plot these points on a coordinate plane and draw a V-shaped curve with vertex at (2,-3).
From the given graph it is clear that the graph intersect x-axis at -1 and 5. So, zeroes of the function y=|x-2|-3 are -1 and 5.
Therefore the solution of given equation are -1 and 5.
Now solve the given equation algebraically.

Add 3 on both sides.


Add 2 on both sides.

and 
and 
Therefore the solution of given equation are -1 and 5.
The y coordinates would become the opposite/ H': (5,0) I': (-6,3)