Phương trình hoành độ giao điểm của (d1) và (d2) là:

2x+5=-4x-1

=>2x+4x=-5-1

=>6x=-6

=>x=-1

Thay x=-1 vào y=2x+5, ta được:

\(y=2\cdot\left(-1\right)+5=-2+5=3\)

Thay x=-1 và y=3 vào (d3), ta được:

\(\left(m+1\right)\cdot\left(-1\right)+2m-1=3\)

=>-m-1+2m-1=3

=>m-2=3

=>m=5

a: Ta có: \(\left(x-4\right)^2\ge0\forall x\)

=>\(A=\left(x-4\right)^2+2022\ge2022\forall x\)

Dấu '=' xảy ra khi x-4=0

=>x=4

b: Ta có: \(\left(\frac12x+\frac34\right)^{22}\ge0\forall x\)

\(\left(\frac56y-\frac78\right)^{12}\ge0\forall y\)

Do đó: \(\left(\frac12x+\frac34\right)^{22}+\left(\frac56y-\frac78\right)^{12}\ge0\forall x,y\)

=>\(\left(\frac12x+\frac34\right)^{22}+\left(\frac56y-\frac78\right)^{12}+1024\ge1024\forall x,y\)

Dấu '=' xảy ra khi \(\frac12x+\frac34=0;\frac56y-\frac78=0\)

=>\(\frac12x=-\frac34;\frac56y=\frac78\)

=>\(x=-\frac32;y=\frac78:\frac56=\frac78\cdot\frac65=\frac{42}{40}=\frac{21}{20}\)

kệ màu đỏ nhé các bạn

a: Ta có: \(A=2^{100}-2^{99}+2^{98}-2^{97}+2^{96}-\cdots+2^2-2\)

=>\(2A=2^{101}-2^{100}+2^{99}-2^{98}+\cdots+2^3-2^2\)

=>\(2A+A=2^{101}-2^{100}+2^{99}-2^{98}+\cdots+2^3-2^2+2^{100}-2^{99}+2^{98}-\cdots+2^2-2\)

=>\(3A=2^{101}-2\)

=>\(A=\frac{2^{101}-2}{3}\)

b: \(B=3^{100}-3^{99}+3^{98}-3^{97}+\cdots+3^2-3+1\)

=>\(3B=3^{101}-3^{100}+3^{99}-3^{98}+\cdots+3^3-3^2+3\)

=>\(3B+B=3^{101}-3^{100}+3^{99}-3^{98}+\cdots3^3-3^2+3+3^{100}-3^{99}+3^{98}-\cdots+3^2-3+1\)

=>\(4B=3^{101}+1\)

=>\(B=\frac{3^{101}+1}{4}\)

Yes

Raiden from Metal Gear Rising: Revengeance is a fascinating and complex character — and yes, he's definitely one of the most memorable in the Metal Gear universe.

He starts as a rather divisive figure in Metal Gear Solid 2, where players expected to control Snake but instead got Raiden. But his arc over the series — especially culminating in Revengeance — turns him into a deeply compelling anti-hero.

In Revengeance, Raiden fully embraces his cyborg identity, grappling with the consequences of violence, identity, and morality. That game, and especially the song lyrics you quoted from “It Has To Be This Way”, perfectly encapsulate the tragic duality in his journey — the fight between ideals and reality, peace and necessary conflict.

So, in short: Yes — Raiden is cool as hell. Brutal, philosophical, and stylish.
Would you say you like him too — or more the themes around him?

\(\overline{20a17}\) chia hết cho 9

=>2+0+a+1+7⋮9

=>a+10⋮9

=>a=8