Answer:
m∠c=42
Step-by-step explanation:
48×2=96
180-96=84
84÷2=42
We divide by 2 because c is an inscribed angle.
Answer:
Clockwise 270° around the origin: (-5,-4)
Counterclockwise 270° around the origin: (5,4)
Step-by-step explanation:
Clockwise
A(x,y) -> A'(-y,x)
Counterclockwise 270° rotation rule:
A(x,y) -> A'(y,-x)
Answer: The answer is D
Step-by-step explanation:
The composed function is
![3x^7+3x](https://tex.z-dn.net/?f=3x%5E7%2B3x%20)
. We are going to express this function as
![(f\circ g)(x)](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29)
,
where neither of the functions are identity functions, that is f(x)≠x, and g(x)≠x.
Let
![g(x)=3x](https://tex.z-dn.net/?f=g%28x%29%3D3x)
, and let
![\displaystyle{f(x)= (\frac{1}{3^6})x^7+x](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Bf%28x%29%3D%20%28%5Cfrac%7B1%7D%7B3%5E6%7D%29x%5E7%2Bx%20)
then
![f(g(x))=\displaystyle{ (\frac{1}{3^6})(g(x))^7+g(x)=\displaystyle{ (\frac{1}{3^6})(3x)^7+3x](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%5Cdisplaystyle%7B%20%28%5Cfrac%7B1%7D%7B3%5E6%7D%29%28g%28x%29%29%5E7%2Bg%28x%29%3D%5Cdisplaystyle%7B%20%28%5Cfrac%7B1%7D%7B3%5E6%7D%29%283x%29%5E7%2B3x)
![=\displaystyle{ (\frac{1}{3^6})\cdot3^7x^7+3x=3x^7+3x](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%7B%20%28%5Cfrac%7B1%7D%7B3%5E6%7D%29%5Ccdot3%5E7x%5E7%2B3x%3D3x%5E7%2B3x)
Answer:
![g(x)=3x](https://tex.z-dn.net/?f=g%28x%29%3D3x)
,