8: 27<140-3z
=>-3z+140>27
=>-3z>27-140=-113
=>\(z< \dfrac{113}{3}\)
mà z là số nguyên dương
nên \(z\in\left\{1;2;...;37\right\}\)
=>Chọn D
9: \(x^2+2x+1+y^2=0\)
=>\(\left(x+1\right)^2+y^2=0\)
=>\(\left\{{}\begin{matrix}x+1=0\\y=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=0\end{matrix}\right.\)
\(\left(x-y\right)^{2020}+\left(x+y\right)^{2021}\)
\(=\left(-1-0\right)^{2020}+\left(-1+0\right)^{2021}=1+\left(-1\right)=0\)
=>Chọn B