Answer:
4
Step-by-step explanation:
6*(8*2)^2/(6*8^2)=2^2=4
Answer:
![y> \frac{2}{3}x+3](https://tex.z-dn.net/?f=y%3E%20%5Cfrac%7B2%7D%7B3%7Dx%2B3)
Step-by-step explanation:
we have the points
(-3,1) and (0,3)
step 1
Find the slope m of the line
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
substitute the values
![m=\frac{3-1}{0+3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-1%7D%7B0%2B3%7D)
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
step 2
Find the equation of the line in slope intercept form
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2%7D%7B3%7D)
----> the y-intercept is the point (0,3)
substitute the values
![y=\frac{2}{3}x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B3)
step 3
Find the equation of the inequality
we know that
The slope is positive
Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)
Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)
therefore
The equation of the inequality is of the form y > ax+b
The inequality is
![y> \frac{2}{3}x+3](https://tex.z-dn.net/?f=y%3E%20%5Cfrac%7B2%7D%7B3%7Dx%2B3)
see the attached figure to better understand the problem
They y-axis represents the -3 now all that you need to do is line it up to -3 and 3 in the graph
The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.
Because the 2 sides are the same the 2 bottom angles are also the same.
This means that 9x +3 = 84
Now we can solve for x:
9x +3 = 84
Subtract 3 from each side:
9x = 91
Divide both sides by 9:
x = 81 / 9
x = 9