\(2,\\ 1,=20\sqrt{3}+20\sqrt{3}+\dfrac{\sqrt{3}\left(\sqrt{3}-1\right)}{\sqrt{3}-1}=40\sqrt{3}+\sqrt{3}=41\sqrt{3}\\ 2,A=\dfrac{2\sqrt{x}-9-x+9+\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\\ A=\dfrac{2\sqrt{x}-x+2x-3\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\\ c,A< 1\Leftrightarrow\dfrac{\sqrt{x}+1}{\sqrt{x}-3}-1< 0\\ \Leftrightarrow\dfrac{4}{\sqrt{x}-3}< 0\Leftrightarrow\sqrt{x}-3< 0\left(4>0\right)\\ \Leftrightarrow x< 9\Leftrightarrow0\le x< 9\)

\(3,\\ 1,A=\sqrt{2}-1-\dfrac{\sqrt{2}\left(2-\sqrt{5}\right)}{2-\sqrt{5}}=\sqrt{2}-1-\sqrt{2}=-1\\ 2,\\ a,P=\dfrac{\sqrt{x}+2-\sqrt{x}+2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\cdot\dfrac{\left(\sqrt{x}+2\right)^2}{4}\left(x\ge0;x\ne4\right)\\ P=\dfrac{4\left(\sqrt{x}+2\right)}{4\left(\sqrt{x}-2\right)}=\dfrac{\sqrt{x}+2}{\sqrt{x}-2}\\ b,P< 1\Leftrightarrow\dfrac{\sqrt{x}+2}{\sqrt{x}-2}-1< 0\\ \Leftrightarrow\dfrac{4}{\sqrt{x}-2}< 0\Leftrightarrow\sqrt{x}-2< 0\left(4>0\right)\\ \Leftrightarrow x< 4\Leftrightarrow0\le x< 4\)

a+b=-2

=>(a+b)²=4

=>a²+2ab+b²=4 mà a²+b²=29

=>2ab=-25=>ab=-12,5

=>a²-ab+b²=29-(-12,5)=41,5.

=>(a+b)(a²-ab+b²)=-2.41,5=-83

hay a³+b³=-83

2.

a.

\(P=\dfrac{1}{x+5}+\dfrac{2}{x-5}-\dfrac{2\left(x+5\right)}{\left(x-5\right)\left(x+5\right)}\)

\(=\dfrac{1}{x+5}+\dfrac{2}{x-5}-\dfrac{2}{x-5}=\dfrac{1}{x+5}\)

b.

\(P=-3\Rightarrow\dfrac{1}{x+5}=-3\Rightarrow x+5=-\dfrac{1}{3}\)

\(\Rightarrow x=-\dfrac{16}{3}\)

Thay vào bấm máy ta được \(Q=529\)

3.

a. \(P=\dfrac{3\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}+\dfrac{x+3}{\left(x-3\right)\left(x+3\right)}+\dfrac{18}{\left(x-3\right)\left(x+3\right)}\)

\(=\dfrac{3\left(x-3\right)+x+3+18}{\left(x-3\right)\left(x+3\right)}=\dfrac{4x+12}{\left(x-3\right)\left(x+3\right)}\)

\(=\dfrac{4\left(x+3\right)}{\left(x-3\right)\left(x+3\right)}=\dfrac{4}{x-3}\)

b.

\(P=4\Rightarrow\dfrac{4}{x-3}=4\Rightarrow x-3=1\)

\(\Rightarrow x=4\)

a, \(\widehat{B}_1=\widehat{B_3}\) đối đỉnh

\(\widehat{A}_1=\widehat{B}_1\) theo bài đầu 

Do đó \(\widehat{A_1}=\widehat{B_3}\)

Mặt khác,ta có \(\widehat{A_1}+\widehat{A_4}=180^0\) hai góc kề bù

=> \(\widehat{A_4}=180^0-\widehat{A_1}\)                                  \((1)\)

Và \(\widehat{B_2}+\widehat{B_3}=180^0\) hai góc kề bù

=> \(\widehat{B_2}=180^0-\widehat{B_3}\)                                 \((2)\)

\(\widehat{A_1}=\widehat{B_3}\)                                                      \((3)\)

Từ 1,2,3 ta có : \(\widehat{A_4}=\widehat{B_2}\)

b, \(\widehat{A_2}=\widehat{A_4}\) đối đỉnh

\(\widehat{A_4}=\widehat{B_2}\) theo câu a

Do đó : \(\widehat{A_2}=\widehat{B_2};\widehat{A_1}=\widehat{A_3}\) đối đỉnh

\(\widehat{A_1}=\widehat{B_3}\) câu a

Do đó \(\widehat{A_3}=\widehat{B_3}\). Mặt khác \(\widehat{B_2}=\widehat{B_4}\) hai góc đối đỉnh

\(\widehat{A_4}=\widehat{B_2}\) câu a . Do đó \(\widehat{A_4}=\widehat{B_4}\)

c, \(\widehat{B_1}+\widehat{B_2}=180^0\) hai góc kề bù

\(\widehat{A_1}=\widehat{B_1}\) theo đầu bài

Do đó \(\widehat{A_1}+\widehat{B_2}=180^0\)

Mặt khác \(\widehat{B_2}+\widehat{B_3}=180^0\) kề bù

\(\widehat{A_4}=\widehat{B_2}\) theo câu a . Do đó \(\widehat{A_4}+\widehat{B_3}=180^0\)

mik chịu thui xin lỗi bạn

1. 

a. \(BaCl_2+Na_2SO_4--->BaSO_4\downarrow+2NaCl\)

b. \(Al+3AgNO_3--->Al\left(NO_3\right)_3+3Ag\downarrow\)

c. \(CuSO_4+2NaOH--->Cu\left(OH\right)_2\downarrow+Na_2SO_4\)

d. \(Na_2CO_3+H_2SO_4--->Na_2SO_4+H_2O+CO_2\uparrow\)

Phản ứng trao đổi là PT: a, c, d

3.

C

Vì CaCl₂ không tác dụng với NaNO₃ trong môi trường dung dịch

Bài 2: 

a: Để (d)//(d') thì \(m=2m+1\)

\(\Leftrightarrow-m=1\)

hay m=-1

c: Để (d) cắt (d') thì \(m\ne2m+1\)

hay \(m\ne-1\)

Bài 3:

1) Quy hết hỗn hợp kim loại về kim loại X (hoá trị II)

\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: \(X+2HCl\rightarrow XCl_2+H_2\)

          0,3<----------------------0,3

\(\rightarrow M_X=\dfrac{21,7}{0,3}=72,33\left(g\text{/}mol\right)\)

\(\rightarrow M_R< M_X< M_{Ba}\)

Mà R có hoá trị II và có phản ứng với nước

=> R là Ca

2) Gọi \(\left\{{}\begin{matrix}n_{Ba}=x\left(mol\right)\\n_{Ca}=y\left(mol\right)\end{matrix}\right.\)

\(\rightarrow137x+40y=21,7\left(1\right)\)

Mà \(n_R=n_{Ba}+n_{Ca}\)

\(\rightarrow x+y=0,3\left(2\right)\)

Từ \(\left(1\right),\left(2\right)\rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\rightarrow\left\{{}\begin{matrix}\%m_{Ba}=\dfrac{0,1.137}{21,7}.100\%=63,13\%\\\%m_{Ca}=100\%-63,13\%=36,87\%\end{matrix}\right.\)