Giúp mình vs gấp lắm ạ
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Bài I:
1: Thay x=4 vào A, ta được:
\(A=\dfrac{4}{2+1}=\dfrac{4}{3}\)
2: \(B=\dfrac{3}{\sqrt{x}+1}+\dfrac{x+5}{x-1}-\dfrac{1}{\sqrt{x}-1}\)
\(=\dfrac{3}{\sqrt{x}+1}+\dfrac{\left(x+5\right)}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}-\dfrac{1}{\sqrt{x}-1}\)
\(=\dfrac{3\left(\sqrt{x}-1\right)+x+5-\sqrt{x}-1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)
\(=\dfrac{3\sqrt{x}-3+x-\sqrt{x}+4}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}=\dfrac{x+2\sqrt{x}+1}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\left(\sqrt{x}+1\right)^2}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)
3: P=A*B
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\cdot\dfrac{x}{\sqrt{x}+1}=\dfrac{x}{\sqrt{x}-1}\)
P<=4
=>P-4<=0
=>\(\dfrac{x-4\sqrt{x}+4}{\sqrt{x}-1}< =0\)
=>\(\dfrac{\left(\sqrt{x}-2\right)^2}{\sqrt{x}-1}< =0\)
=>\(\sqrt{x}-1< 0\)
=>\(\sqrt{x}< 1\)
=>0<=x<1
Kết hợp ĐKXĐ, ta được: 0<=x<1
3 careless
4 bleed
V
1 Hung has colllected stamps since 2000
2 The front yard isn't large enough to play soccer in
3 Milk is delivered twice a week by the milkman
4 When did you bought this computer?
5 His car doesn't run as fasst as a race car
6 Two languages can be spoken well by Lan
VI
1 T
2 F
3 T
4 T
VII
1 Mr. Nam is arriving in Hue tonight
2 They are going back to Englang in two months
3 It is not difficult to tránlate this sentence into English
4 Would you mind lending me your dictionary?
3 careless
4 bleed
V
1 Hung has colllected stamps since 2000
2 The front yard isn't large enough to play soccer in
3 Milk is delivered twice a week by the milkman
4 When did you bought this computer?
5 His car doesn't run as fasst as a race car
6 Two languages can be spoken well by Lan
VI
1 T
2 F
3 T
4 T
VII
1 Mr. Nam is arriving in Hue tonight
2 They are going back to Englang in two months
3 It is not difficult to tránlate this sentence into English
4 Would you mind lending me your dictionary?
Bài 3:
1: =>2x=-5/3-1/2=-10/6-3/6=-13/6
hay x=-13/12
2: =>3/5x=1/7+3/5=5/35+21/35=26/35
hay x=26/3
3: =>-3x=5/6+3/4=10/12+9/12=19/12
hay x=-19/36
4: =>1/2x=3/7-5/4=12/28-35/28=-23/28
hay x=-23/14
5: =>1/4x=-3/5-7/5=-2
hay x=-8
6: =>3x=1/42+1/7=1/42+6/42=1/7
hay x=1/21
a. PTHH: CuO + H2SO4 ---> CuSO4 + H2O
b. Ta có: \(n_{CuO}=\dfrac{8}{80}=0,1\left(mol\right)\)
Theo PT: \(n_{H_2SO_4}=n_{CuO}=0,1\left(mol\right)\)
=> \(m_{H_2SO_4}=0,1.98=9,8\left(g\right)\)
Ta có: \(C_{\%_{H_2SO_4}}=\dfrac{9,8}{m_{dd_{H_2SO_4}}}.100\%=4,9\%\)
=> \(m_{dd_{H_2SO_4}}=200\left(g\right)\)
c. Ta có: \(m_{dd_{CuSO_4}}=200+8=208\left(g\right)\)
Theo PT: \(n_{CuSO_4}=n_{CuO}=0,1\left(mol\right)\)
=> \(m_{CuSO_4}=0,1.160=16\left(g\right)\)
=> \(C_{\%_{CuSO_4}}=\dfrac{16}{208}.100\%=7,69\%\)
a: Xét ΔNMH vuông tại M và ΔNKH vuông tại K có
NH chung
NM=NK
Do đó: ΔNMH=ΔNKH
b: Xét ΔHMI vuông tại M và ΔHKP vuông tại K có
HM=HK
\(\widehat{MHI}=\widehat{KHP}\)
Do đó: ΔHMI=ΔHKP
Suy ra: HI=HP
hay ΔHIP cân tại H