The distance between the two towns is 225 km
Answer: Option a.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" is the y-intercept.
Find the slope of the line with this formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Choose two points from the table and substitute the coordinates into the formula. Then, the slope is:
![m=\frac{32-64}{4-0}=-8](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B32-64%7D%7B4-0%7D%3D-8)
By definition, the line intersects the y-axis when the value of "x" is zero. So, based on the table, the y-intercept is:
![b=64](https://tex.z-dn.net/?f=b%3D64)
Then the equation of the line is:
![y=-8x+64](https://tex.z-dn.net/?f=y%3D-8x%2B64)
The line intersects the x-axis when the value of "y" is zero, then substituting y=0 into the equation of this line, and solving for "x", you get:
![0=-8x+64\\\\-64=-8x\\\\x=8](https://tex.z-dn.net/?f=0%3D-8x%2B64%5C%5C%5C%5C-64%3D-8x%5C%5C%5C%5Cx%3D8)
So, the point of intersection with the x-axis is:
![(8,0)](https://tex.z-dn.net/?f=%288%2C0%29)
Since the table shows the amount of air leaking from an inflatable as a function of time, you can conclude that meaning of the x-intercept in this scenario is: "The time it takes all the air to leave the inflatable".
Answer:
6
Step-by-step explanation:
The event to which ending or failure can be traced.
Answer:
0.5 ㏑ | 1-2x | +c
Step-by-step explanation:
Formula: ∫ 1/ax+b dx = 1/a ln Iax+bI +c