Answer:
The sum of interior angles of a regular shape is found by doing no. of sides - 2 and times this by 180
8-2 =6
6x 180= 1080
then divide by 8 to find each angle
1080/8 = 135
Answer:
See below.
Step-by-step explanation:
So we started off with the equation:
![x+y=2](https://tex.z-dn.net/?f=x%2By%3D2)
And we subtracted x from both sides to acquire:
![y=2-x](https://tex.z-dn.net/?f=y%3D2-x)
Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b is the y-intercept.
If we rearrange our equation:
![y=2-x\\y=-x+2](https://tex.z-dn.net/?f=y%3D2-x%5C%5Cy%3D-x%2B2)
And put some parentheses:
![y=(-1)x+(2)](https://tex.z-dn.net/?f=y%3D%28-1%29x%2B%282%29)
We can see that this is indeed slope-intercept form.
And we can see that m is -1 and b is 2.
In other words, the slope is -1 and the y-intercept is 2.
Answer:
<em>24 cookies got eaten</em> <em>12 weren't eaten</em>
Step-by-step explanation:
36 divided by 3 = 12
12 x 2 = 24 ( since they ate 2/3)
36-24=12 (12 weren't eaten)
To break even, means her revenue and overhead are equal, i.e. she isn't making any money but isn't losing any either. We can write an equation to represent this situation:
![R(h)=C(h)](https://tex.z-dn.net/?f=R%28h%29%3DC%28h%29)
![80+30h=10h^{2}-20](https://tex.z-dn.net/?f=80%2B30h%3D10h%5E%7B2%7D-20)
And then solve for h:
![10h^{2}-30h-100=0](https://tex.z-dn.net/?f=10h%5E%7B2%7D-30h-100%3D0)
We can solve with the quadratic formula, or more easily, by factoring:
![10(h-5)(h+2)=0](https://tex.z-dn.net/?f=10%28h-5%29%28h%2B2%29%3D0)
So either
![h-5=0](https://tex.z-dn.net/?f=h-5%3D0)
OR
![h=-2](https://tex.z-dn.net/?f=h%3D-2)
Since a negative number of hours makes no sense: h=5.
She will break even after 5 hours.
Answer:
4x²(2x - 7)
Step-by-step explanation:
8x³ - 28x² ← factor out 4x² from each term
= 4x²(2x - 7)