1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula 
to find the distance from point 
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: 
.
Answer:
Step-by-step explanation:
1:9:3
brian gets x
alex gets 9x
colin gets 3x
Brian and colin receive 40
x + 3x = 40
x = 10
alex gets 9x = £90
Answer:
Step-by-step explanation:
We need to sum the following two expressions:
expanding the polynomial in the numerator:
This is the most simplified form we can get:
Let the number be x, then
1/5 * x = 2/3 * 90
1/5 x = 60
x = 60 * 5 = 300 (answer)
Answer:
27
Step-by-step explanation:
green is 30%
blue is 50%
red is 6 marbles which when calculated is equal to 20%
blue would then be 15 marbles as the whole 100% would equal to 30 marbles
if 40% is added which is also 12 marbles then 15+12 = 27
