Answer:

Step-by-step explanation:
Multiply the fraction by 

Cancel the 2s

∴ 
hey there!
If k = 12, then k + 40 = 12 + 40 = 52.
Hope it helps and have a great day!
Answer:

Step-by-step explanation:
We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.
We can see that for x values greater than or equal to 0 and less than 1, the function is a line.
We can see that our given line is a horizontal line, so it will be in form
intersecting y-axis at
.
The given crosses y-axis at (0,2), therefore, its equation would be
.
We can see that for x values greater than 1, the graph is a reflected and shifted square root function.
The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be
.
The function is not defined at
and it can a jump continuity.
Therefore, our required piece-wise function would be:

Y=kx+b
(0,2),(5,8)
2=0k+b
8=5k+b
y=1.2x+2
Im not good at English ,so I cant present my thought clearly.I just write down my process.It may help you
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
280 miles = (95 mph + 105 mph) * elapsed time
280 miles = 200 mph * elapsed time
elapsed time = 280 miles / 200 mph
elapsed time = 1.4 hours
elapsed time = 1 hour and 24 minutes
It will take 1 hour and 24 minutes for the two trains to be 280 miles apart.