Given:
Your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race is
![y+4x=100](https://tex.z-dn.net/?f=y%2B4x%3D100)
Opponent's distance is
![y+3.7x+94](https://tex.z-dn.net/?f=y%2B3.7x%2B94)
To find:
The distance you need to run to catch up with your opponent.
Solution:
We have,
...(i)
...(ii)
Subtract (ii) from (i), we get
![y+4x-y-3.7x=100-94](https://tex.z-dn.net/?f=y%2B4x-y-3.7x%3D100-94)
![0.3x=6](https://tex.z-dn.net/?f=0.3x%3D6)
Divide both sides by 0.3.
![x=\dfrac{6}{0.3}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B6%7D%7B0.3%7D)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Put x=20 in (i).
![y+4(20)=100](https://tex.z-dn.net/?f=y%2B4%2820%29%3D100)
![y+80=100](https://tex.z-dn.net/?f=y%2B80%3D100)
![y=100-80](https://tex.z-dn.net/?f=y%3D100-80)
![y=20](https://tex.z-dn.net/?f=y%3D20)
They will meet at (20,20). It means at 20 meters from the finish line after 20 seconds from the beginning.
Put x=0 in (i), we get
![y+4(0)=100](https://tex.z-dn.net/?f=y%2B4%280%29%3D100)
![y=100](https://tex.z-dn.net/?f=y%3D100)
It means, initially the total distance you and finish line is 100 meters.
You will catch your opponent 20 meter from the finish line. So,
![100-20=80](https://tex.z-dn.net/?f=100-20%3D80)
Therefore, you need to run 80 meters to catch up with your opponent.
Answer:10
Step-by-step explanation: divide 60 by 6
Answer:
Slope -1/2 y-intercept 1
Step-by-step explanation:
The line crosses through the y-axis at 1
By counting, the line goes down one and over two
The line has a downward slope resulting in a negative slope
Yes it is equivalent if u multiply 1 times 3 u get 3 if u multiply 3 times 3 is 9 so they r equivalent hope this help:)<span />