For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
Answer:
32 and 4
Step-by-step explanation:
128=2^7
(8xa)xb=128
axb=2^4=16
(8x4)x4=128
Answer:
D. enlargement
Step-by-step explanation:
enlargement means to increase something
Answer:
13 trails
Step-by-step explanation:
The histogram shows following numbers of trails:
- <u>0 - 6 km long</u> - 5 trails;
- 6 - 12 km long - 9 trails;
- 12 - 18 km long - 7 trails;
- 18 - 24 km long - 3 trails;
- <u>24 - 30 km long</u> - 4 trails;
- <u>30 - 36 km long</u> - 1 trail;
- <u>36 - 42 km long</u> - 3 trails.
So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.
In total, 5 + 8 = 13 trails