Giúp mình vs :(( càng nhanh càng tốt ạ 💗
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\(a,\dfrac{x}{3x+6}=\dfrac{x}{3\left(x+2\right)}=\dfrac{x\left(x+2\right)}{3\left(x+2\right)^2}\\ \dfrac{5}{x^2+4x+4}=\dfrac{5}{\left(x+2\right)^2}=\dfrac{15}{3\left(x+2\right)^2}\\ b,\dfrac{5}{x^2-y^2+2x+1}=\dfrac{5}{\left(x-y+1\right)\left(x+y+1\right)}=\dfrac{5x}{x\left(x-y+1\right)\left(x+y+1\right)}\\ \dfrac{6}{x\left(x+y+1\right)}=\dfrac{6\left(x-y+1\right)}{x\left(x-y+1\right)\left(x+y+1\right)}\)
\(c,\dfrac{7x}{x^4-1}=\dfrac{7x}{\left(x^2+1\right)\left(x-1\right)\left(x+1\right)}=\dfrac{7x\left(x^2+1\right)}{\left(x^2+1\right)\left(x-1\right)\left(x+1\right)}\\ \dfrac{5x}{x^4+2x^2+1}=\dfrac{5x}{\left(x^2+1\right)^2}=\dfrac{5x\left(x-1\right)\left(x+1\right)}{\left(x^2+1\right)^2\left(x-1\right)\left(x+1\right)}\)
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1.
\(Ca+2H_2O\rightarrow Ca\left(OH\right)_2+H_2\)
\(2Na+2H_2O\rightarrow2NaOH+H_2\)
\(P_2O_5+3H_2O\rightarrow2H_3PO_4\)
\(K_2O+H_2O\rightarrow2KOH\)
\(SO_2+H_2O\rightarrow H_2SO_3\)
\(SO_3+H_2O\rightarrow H_2SO_4\)
2.
(1)\(2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\)
(2)\(2Cu+O_2\rightarrow\left(t^o\right)2CuO\)
(3)\(CuO+H_2\rightarrow\left(t^o\right)Cu+H_2O\)
(4)\(4Na+O_2\rightarrow\left(t^o\right)2Na_2O\)
(5)\(Na_2O+H_2O\rightarrow2NaOH\)
(6)\(S+O_2\rightarrow\left(t^o\right)SO_2\)
(7)\(SO_2+H_2O\rightarrow H_2SO_3\)
(1) 2KMnO4 --to--> K2MnO4 + MnO2 + O2
(2) 2Cu + O2 --to--> 2CuO
(3) CuO + CO --to--> Cu + CO2
(4) 4Na + O2 --to--> 2Na2O
(5) Na2O + H2O ---> 2NaOH
(6) S + O2 --to--> SO2
(7) SO2 + H2O ---> H2SO3
![](https://rs.olm.vn/images/avt/0.png?1311)
c: Ta có: \(\left(\dfrac{1}{2}\right)^{2x+1}=\dfrac{1}{8}\)
\(\Leftrightarrow2x+1=3\)
\(\Leftrightarrow2x=2\)
hay x=1
d: Ta có: \(\left(-\dfrac{1}{3}\right)^{x+3}=\dfrac{1}{81}\)
\(\Leftrightarrow x+3=4\)
hay x=1
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2:
a: =>-3/4-x=-1/2
=>x=-3/4+1/2=-3/4+2/4=-1/4
b: =>x^2=36
=>x=6 hoặc x=-6
c: =>x-9/20=-5/12
=>x=-5/12+9/20=1/30
d: x+-3/4=-11/3
=>x=-11/3+3/4=-35/12
e: =>1/3:x=4/3+5/3=3
=>x=1/9
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2A:
Xét ΔAHD vuông tại H và ΔCKB vuông tại K có
AD=CB
góc ADH=góc CBK
=>ΔAHD=ΔCKB
=>AH=CK
AH vuông góc BD
CK vuông góc BD
=>AH//CK
Xét tứ giác AHCK có
AH//CK
AH=CK
=>AHCK là hình bình hành
![](https://rs.olm.vn/images/avt/0.png?1311)
Ex 1:
1. listen
2. rains
3. will recognise
4. don’t want
5. does/ begin
6. will not
7. does/ watches
8. plant
9. play
10. leaves
Ex 2:
1. watching
2. listening
3. to buy
4. to speak
5. making
6. to eat
7. working
8. to call
9. to build
10. doing
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\left(x-3.5\right)^2\ge0\forall x\)
\(\left(y-\dfrac{1}{10}\right)^4\ge0\forall y\)
Do đó: \(\left(x-3.5\right)^2+\left(y-\dfrac{1}{10}\right)^4\ge0\forall x,y\)
Dấu '=' xảy ra khi \(\left(x,y\right)=\left(\dfrac{7}{2};\dfrac{1}{10}\right)\)
do
\(\left(x-3.5\right)^2+\left(y-\dfrac{1}{10}\right)^4\ge0\)
mà ta có \(\left(x-3.5\right)^2+\left(y-\dfrac{1}{10}\right)^4\le0\)
nên \(\left(x-3.5\right)^2+\left(y-\dfrac{1}{10}\right)^4=0\)
suy ra \(\left\{{}\begin{matrix}x-3,5=0\\y-\dfrac{1}{10}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3,5\\y=\dfrac{1}{10}\end{matrix}\right.\)
tick mik nha
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\(A=\dfrac{2^{13}\cdot3^7}{2^{15}\cdot3^2\cdot9^2}=\dfrac{2^{13}\cdot3^7}{2^{15}\cdot3^6}=\dfrac{3}{4}\)
\(C=27\cdot\left(-\dfrac{3}{2}\right)^{-5}\cdot\left(-\dfrac{2}{5}\right)^{-4}:\left(\dfrac{2}{125}\right)^{-1}\)
\(=27\cdot\dfrac{-32}{243}\cdot\dfrac{625}{16}\cdot\dfrac{2}{125}\)
\(=\dfrac{-32}{9}\cdot\dfrac{1}{8}\cdot5\)
\(=-\dfrac{20}{9}\)
1 A
2 D
3 A
4 A
5 C
6 B
7 C
8 C