Which graph correctly matches the equation y = 2-x?
2 answers:
Answer: The answer is attached in the figure.
Step-by-step explanation: Given are four different graphs and we are to check which one matches with the equation y = 2 - x.
We have the following points on this equation.
(0,2), (1,1), (2,0), etc.
When we try to match these points with the given graphs, the we see that these points does not match with the first, third and fourth graph. The only graph containing these points is second one.
Thus, the second option is correct. Also see the attached figure for the location of the three mentioned points.
You might be interested in
Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
<u>According to the Figure Given:</u>
Total Horizontal Distance = 14 in
Length = 6 in
<u>To Find :</u>
The Area of the composite figure
<u>Solution:</u>
Firstly we need to find the area of Rectangular part.
So We know that,
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
- Since Length = 6 in ;
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
- Total Horizontal Distance= 14
- Radius = 6
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
- Length = 6
- Breadth = 8
Then, We need to find the area of Quarter circle :
We know that,
Now Substitute their values:
- r = radius = 6
- π = 3.14
Solve it.
Now we can Find out the total Area of composite figure:
We know that,
So Substitute their values:
= 48
= 28.26
Solve it.
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
I hope this helps!