Answer:
deigo
Step-by-step explanation:
both has de same velocity but diego ran more than the other
Answer:
100=x+60
Step-by-step explanation:
Hey There!
So the angle that has a value of 100 is equal to angles x and the angle that is equal to 60
so an equation to solve for x could be
100=x+60
Answer:
This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
Given
Time ------ 0 ----- 2 ------- 4 ----- 6 -----8.
Cost ------- 0 ----- 10 ----- 20 ----30 ----40
Required
Explain why or why not it is a direct variation?
First, we calculate the slope of the table.
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Where:
![(x_1,y_1) = (0,0)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C0%29)
![(x_2,y_2) = (8,40)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%288%2C40%29)
So:
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{40 - 0}{8 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B40%20-%200%7D%7B8%20-%200%7D)
![m = \frac{40}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B40%7D%7B8%7D)
![m = 5](https://tex.z-dn.net/?f=m%20%3D%205)
Next, we determine the equation using
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
![y - 0 = 5(x - 0)](https://tex.z-dn.net/?f=y%20-%200%20%3D%205%28x%20-%200%29)
![y = 5(x)](https://tex.z-dn.net/?f=y%20%3D%205%28x%29)
![y = 5x](https://tex.z-dn.net/?f=y%20%3D%205x)
<em>The above shows a direct variation with 5 as its constant of proportionality of variation.</em>
Answer:
A -4 ≤ x ≤ -2
Step-by-step explanation:
The graph is constant where there is a flat, horizontal line. The graph is flat in the interval -4 ≤ x ≤ -2. This is where the graph will be constant. In all of the other parts of the graph, the y-values are changing. Since the line is flat, the y-value doesn't change.