Well,
If the slope of the lines are the same, then the lines are parralel.
We need to manipulate 2y - 10x = 4 into y = mx + b form.
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
Do the same thing with the other equation.
Add 2 to both sides
y = 5x + 2
y = 5x + 2
It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!<span />
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of
miles per minute.
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
The distance between both train in 15 minutes is represented by
.
According to the given information the distance between trains is 30 miles in 15 minutes.
![15(x+y)=30](https://tex.z-dn.net/?f=15%28x%2By%29%3D30)
![x+y=2](https://tex.z-dn.net/?f=x%2By%3D2)
Use equation (1) and put ![y=3x](https://tex.z-dn.net/?f=y%3D3x)
![x+3x=2](https://tex.z-dn.net/?f=x%2B3x%3D2)
![4x=2](https://tex.z-dn.net/?f=4x%3D2)
![x=0.5](https://tex.z-dn.net/?f=x%3D0.5)
Put this value in equation (1), to find the value of y.
![y=3(0.5)](https://tex.z-dn.net/?f=y%3D3%280.5%29)
![y=1.5](https://tex.z-dn.net/?f=y%3D1.5)
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Answer:
A
![2(4x + 2)](https://tex.z-dn.net/?f=2%284x%20%2B%202%29)
and
D
![8x + 4](https://tex.z-dn.net/?f=8x%20%2B%204)
Step-by-step explanation:
Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.
Answer:
Answer is D. 1572 square units.
The median is a better representative of the central value of a data set when
the data set is highly skewed.
Note that
The median and average value only coincide when the distribution is perfectly normal.
Many outliers will also skew the distribution, and the median becomes a better representative.