3x-10y=-25
4x+40y=20
12x-40y=-100
12x+120y=60
-160y=40
y=1/4
x=5/2
I think it's 16.. idkk look it up on google
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
Given inequality is ![4x-8y\le9](https://tex.z-dn.net/?f=4x-8y%5Cle9)
Now we need to find the graph of
.
Which can be done into two parts:
First graph the line
then shade the graph for inequality sign ![\le](https://tex.z-dn.net/?f=%5Cle)
Graph the line ![4x-8y=9](https://tex.z-dn.net/?f=4x-8y%3D9)
we can plug any number for x say x=0 to find the y-value
4x-8y=9
4*0-8y=9
0-8y=9
-8y=9
![y=\frac{9}{-8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%7D%7B-8%7D)
y=-1.125
Hence first point is (0,-1.125)
Similarly we can plug y=0 then solve for x
4x-8y=9
4x-8*0=9
4x-0=9
4x=9
![x=\frac{9}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9%7D%7B4%7D)
x=2.25
hence 2nd point is at (2.25,0)
Now graph both points and join them by a straight line.
Since used inequality is
so we use solid line not the dotted line.
Shading the graph:
we can pick any test point which is not on the line 4x-8y=9 say (0,0) then plug into original problem to see if that point satisfies the original problem or not.
![4x-8y\le9](https://tex.z-dn.net/?f=4x-8y%5Cle9)
![4*0-8*0\le9](https://tex.z-dn.net/?f=4%2A0-8%2A0%5Cle9)
![0-0\le9](https://tex.z-dn.net/?f=0-0%5Cle9)
![0\le9](https://tex.z-dn.net/?f=0%5Cle9)
Which is TRUE.
TRUE means shade in direction of test point otherwise we graph in opposite direction of test point.
Now final graph will look like the graph attached below:
SOLVED = 75(-7)’+3.1-3
SOLUTION = 75-7’+3.1-3 = 75.1