<span>Answer: The derivative of 4pi (4π) is simply zero. In Calculus, the process of differentiation is taking the limit of the given as the change with respect to a certain variable approaches zero. The derivative indicates the slope of a given function, the rate of change with respect to small increments to a reference axis or variable. As our given, 4π, is simply a constant, it does not change with respect to any infinitesimal increment to any variable; thus its derivative is zero.</span>
find the perimeter of a triangle with sides 15 inches, 15 inches, and 21 inches length
To find the perimeter of a triangle we add all the sides of the triangle
The length of the sides of the triangle are given as 15 inches, 15 inches, and 21 inches
Perimeter of a triangle =
15 inches + 15 inches + 21 inches = 51 inches
So 51 inches is the perimeter
Answer:
The value of x = 2
Step-by-step explanation:
Given the equation
![12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2](https://tex.z-dn.net/?f=12%5Cleft%28x-2%5Cright%29%2B3x%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28x%2B6%5Cright%29%2B2)
- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes
![12x-24+3x=\frac{1}{2}x+3+2](https://tex.z-dn.net/?f=12x-24%2B3x%3D%5Cfrac%7B1%7D%7B2%7Dx%2B3%2B2)
simplifying
![15x-24=\frac{1}{2}x+5](https://tex.z-dn.net/?f=15x-24%3D%5Cfrac%7B1%7D%7B2%7Dx%2B5)
![15x=\frac{1}{2}x+29](https://tex.z-dn.net/?f=15x%3D%5Cfrac%7B1%7D%7B2%7Dx%2B29)
multiplying both sides by 2
![30x = x + 58](https://tex.z-dn.net/?f=30x%20%3D%20x%20%2B%2058)
subtracting x from both sides
![30x - x = 58 - x](https://tex.z-dn.net/?f=30x%20-%20x%20%3D%2058%20-%20x)
![29x = 58](https://tex.z-dn.net/?f=29x%20%3D%2058)
divide both sides by 29
![\frac{29x}{29}=\frac{58}{29}](https://tex.z-dn.net/?f=%5Cfrac%7B29x%7D%7B29%7D%3D%5Cfrac%7B58%7D%7B29%7D)
simplifying
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Therefore, the value of x = 2