Answer:
<h3>X=-3</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY</em></u>
A(B+C)=AB+AC
A(B-C)=AB-AC
3(4x+4) (First, expand.)
3*4x=12x
3*4=12
12x+12
2(5x+9)-12
2*5x=10x
2*9=18
10x+18
18-12=6
12x+12=10x+6
12x+12-12=10x+6-12 (Subtract 12 from both sides.)
6-12 (Solve.)
12-6=6
12x=10x-6
12x-10x=10x-6-10x (Subtract 10x from both sides.)
12x-10x (Solve.)
12x-10x=2x
2x=-6
2x/2=-6/2 (Then, divide by 2 from both sides.)
-6/2 (Solve.)
-6/2=-3
x=-3
As a result, the final answer is x=-3.
Answer:
The volume of the solid = π²
Step-by-step explanation:
As per the given data of the questions,
The diameter of each disk is
D = 2 sin(x) - 2 cos(x)
So its radius is
R = sin(x) - cos(x).
The area of each disk is
![= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%20%5Ctimes%20%5Bsin%5E%7B2%7D%28x%29%20-%202%20sin%28x%29%20cos%28x%29%20%2B%20cos%5E%7B2%7D%28x%29%5D)
![= \pi[1-2sin(x)cos(x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%5B1-2sin%28x%29cos%28x%29%5D)
![= \pi[1-sin(2x)]](https://tex.z-dn.net/?f=%3D%20%5Cpi%5B1-sin%282x%29%5D)
Now,
Integrate from 
, we get volume:
![V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx](https://tex.z-dn.net/?f=V%3D%5Cint_%7B%5Cfrac%7B%5Cpi%7D%7B4%7D%7D%5E%7B%5Cfrac%7B5%5Cpi%7D%7B4%7D%7D%20%5Cpi%5B1-sin%282x%29%5Ddx)
After integrate without limit we get
![V=\pi[x+\frac{cos2x}{2}]](https://tex.z-dn.net/?f=V%3D%5Cpi%5Bx%2B%5Cfrac%7Bcos2x%7D%7B2%7D%5D)
Now after putting the limit, we get
V = π²
Hence, the required volume of the solid = π²
Answer:
Step-by-step explanation:
= 
= 
= 
= 15,625
Answer:
x = 9
Step-by-step explanation:
y = 2/3x - 6
If the y point is 0, then plug that number into the equation and solve for x.
0 = 2/3x - 6
Add 6 to both sides of the equation.
6 + 0 = 2/3x - 6 + 6 or 6 = 2/3x
Multiply both sides by 3.
3 x 6 = 2/3x x 3 or 18 = 2x
Divide both sides by 2
18/2 = 2x / 2 or 9 = x
6 1/8 - (3 3/8 + 2 1/8) =
6 1/8 - (5 4/8) =
5 9/8 - 5 4/8 =
5/8 yds <===
