Answer:
A
Step-by-step explanation:
To sovle this we must combine the numbers togther and the variables togther.
We have:
8c+6-3c-2
Lets take out the c's and combine them:
8c -3c
=
5c
Now lets take out the numbers:
6-2
=
4
Now lets put these back together and we get the expression:
5c+4
This looks like A.
Hope this helps! :D
a. The average value of
on the given interval is
![\displaystyle f_{\rm ave}=\frac1{\pi-0}\int_0^\pi(2\sin x-\sin2x)\,\mathrm dx=\boxed{\frac4\pi}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f_%7B%5Crm%20ave%7D%3D%5Cfrac1%7B%5Cpi-0%7D%5Cint_0%5E%5Cpi%282%5Csin%20x-%5Csin2x%29%5C%2C%5Cmathrm%20dx%3D%5Cboxed%7B%5Cfrac4%5Cpi%7D)
b. Solve for
:
![\dfrac4\pi=2\sin c-\sin2c\implies\boxed{c\approx1.238\text{ or }c\approx2.808}](https://tex.z-dn.net/?f=%5Cdfrac4%5Cpi%3D2%5Csin%20c-%5Csin2c%5Cimplies%5Cboxed%7Bc%5Capprox1.238%5Ctext%7B%20or%20%7Dc%5Capprox2.808%7D)
Answer:
(7.5, -1)
Step-by-step explanation:
hope this helps you!
Answer:
68.1 units²
Step-by-step explanation:
Start by finding the area of the rectangle...
![Area=lw\\Area=6*9\\Area=54](https://tex.z-dn.net/?f=Area%3Dlw%5C%5CArea%3D6%2A9%5C%5CArea%3D54)
Then, find the area of the semicircle...
![Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3](https://tex.z-dn.net/?f=Radius%3D%5Cfrac%7B1%7D%7B2%7D%2ADiameter%3D%5Cfrac%7B1%7D%7B2%7D%2A6%3D3)
![Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1](https://tex.z-dn.net/?f=Area%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E2%5C%5CArea%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%203%5E2%5C%5CArea%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%209%5C%5CArea%3D%5Cfrac%7B9%7D%7B2%7D%5C%20pi%5C%5CArea%5Capprox14.1)
Now, add the two to get...
54+14.1=68.1
Slope-intercept form:
y=1/3x+11/3