First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is 
. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form 
lies on y-axis.
Hope this helps :)
Option B: The area of the trapezoid is 157.5 m²
Explanation:
We need to determine the area of the trapezoid.
The area of the trapezoid can be determined by the formula,
where h is the height, a and b are the base of the trapezoid.
From the figure, it is obvious that 
, 
and 
Substituting these values in the formula, we have,
Simplifying the terms, we have,
Multiplying the terms in the numerator, we have,
Dividing, we get,
Thus, the area of the trapezoid is 157.5 m²
Hence, Option B is the correct answer.
10 is the estimate because you have 58, and you put it in 589 10 times.
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
- 990x= 2245
- x= 2245/990
- x= 449*5/5*198
- x= 449/198
- x= 2 53/198
Answer:
1
0.8
0.4
Step-by-step explanation:
y = 5x
Substituting '5':
5 = 5x
x = 5/5
x = 1
Substituting 4:
4 = 5x
x = 4/5
x = 0.8
Substituting 2:
2 = 5x
x = 2/5
x = 0.4
