Answer:
D
Step-by-step explanation:
We will use the 2 coordinates marked on the graph as the reference.
The coordinates are:
A(4,-2)
B(0,3)
We know that the standard form for equation of line is:
y = mx+c
where m is the slope of the equation
and c is the y-intercept.
Very clearly, the y-intercept is where the line intercepts the y line.
and in this case, y-intercept = c = 3.
Now we know that the equation of line is now
y = mx + 3
To find m, the slope, we can use the 2 above coordinates.
slope of line = 
(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)
Equation of line: 
Therefore the answer is D.
Answer:
1 2/7 ........................................
Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to

we have

so
----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm
Answer:
Solution given:
diameter=14cm
radius [r]=14/2=7cm
now
area of semi circle or shaded region: ½πr²=½(3.14*7²)=76.93cm²[approximately]