9514 1404 393
Answer:
slope = 1
Step-by-step explanation:
In the attachment, we have shown rise and run as 3 units each. The segments could be drawn 1 unit long. In any event, the ratio is the slope:
slope = rise/run = 3/3
slope = 1
_____
It is most convenient to draw the rise and run segments from/to places where the line crosses grid intersections. Often, but not always, the y-intercept will be such a point. Then you can look for the nearest grid crossing for figuring rise and run.
Here, the y-intercept is (0, 1), and the closest grid crossing to the right is (1, 2). The rise is 2-1 = 1, and the run is 1-0 = 1. The ratio is 1/1 = 1, same as above. The ratio of rise to run will be the same everywhere for a straight line.
Answer:
x=-2, y=-3
Step-by-step explanation:
we can rearrange the questions to make it easier
y=3x+3
2y=-3x-12
if you add the two equations, you get
3y=0x-9
so y=-9/3 = -3
plug y into one of the equations
-3=3x+3
-6=3x
x=-2
and then check your work by plugging into the other equation:
2*-3=-3(-2)-12
-6=6-12
-6=-6
Answer:
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Step-by-step explanation:
let months stayed in spain be "s" and months stayed in columbia be "c"
We can write 2 equations.
Since, lived in Spain and Columbia for a total of 20 months, we can write:
s + c = 20
Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:
120s + 150c=2610
Solving first for s:
s = 20 - c
Putting in 2nd and solving:
120(20 - c) + 150c = 2610
2400 - 120c + 150c = 2610
30c = 210
c = 7
Now,
s = 20 - c = 20 - 7 = 13
So
"Dominic lived in Spain for 13 months and Columbia for 7 months."
Answer:
The data speed 1.4Mbps is in the 34th percentile.
Step-by-step explanation:
To find the percentile of a value X in a data set, we divide the number of values lesser than X in the data set by the total number of values in the data set, and then multiply by 100.
In this set
There are 17 values lesser than 1.4
There are 50 values in all.
So
The data speed 1.4Mbps is in the 34th percentile.
Answer:
-16800x^2y^2
Step-by-step explanation:
