Giúp mik câu 1,3,4 vs, mik cảm ơn nhiều ạ
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beautifully
excitedly
interesting
collected
arrangements
peacefully
excited
different
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a,\(x^2-7x+6=x^2-x-6x+6\)
\(=x\left(x-1\right)-6\left(x-1\right)\)
\(=\left(x-6\right)\left(x-1\right)\)
a) x2-7x+6=(x2-x)-(6x-6)=x(x-1)-6(x-1)=(x-6)(x-1)
b) x2-6x+3=(x2-6x+9)-6=(x-3)2-\(\sqrt{6^2}\)=(x-3-\(\sqrt{6}\))(x-3+\(\sqrt{6}\))
c) x2-4x+3=(x2-x)-(3x-3)=x(x-1)-3(x-1)=(x-3)(x-1)
d) 3x2-5x+2=(3x2-3x)-(2x-2)=3x(x-1)-2(x-1)=(3x-2)(x-1)
e) 7x2-x-6=(7x2-7x)+(6x-6)=7x(x-1)+6(x-1)=(7x+6)(x-1)
f) 3x2-5x-8=(3x2+3x)-(8x+8)=3x(x+1)-8(x+1)=(3x-8)(x+1)
g) x2-6x+5=(x2-x)-(5x-5)=x(x-1)-5(x-1)=(x-5)(x-1)
h) x2-2x-3=(x2-2x+1)-4=(x-1)2-22=(x-1-2)(x-1+2)=(x-3)(x+1)
i) x2-x-12=(x2+3x)-(4x+12)=x(x+3)-4(x+3)=(x-4)(x+3)
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Lời giải:
ĐKĐB $\Rightarrow \frac{2}{c}=\frac{a+b}{ab}\Rightarrow c(a+b)=2ab$
Khi đó:
$\frac{a}{b}-\frac{a-c}{c-b}=\frac{a(c-b)-b(a-c)}{b(c-b)}=\frac{ac-ab-ab+bc}{b(c-b)}=\frac{c(a+b)-2ab}{b(c-b)}=\frac{2ab-2ab}{b(c-b)}=0$
$\Rightarrow \frac{a}{b}=\frac{a-c}{c-b}$ (đpcm)
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45. The residents find heavy traffic annoying.
46. Mrs Brown is going to have the pipes checked by a plumber next Sunday.
47. This book, which consists of a list of endangered animals, is important.
48. I have difficulty improving my listening English skill.
49. In spite of not having time, they try to eat dinner together.
50. The police officer who gave me the directions how to get home was friendly.
51. They are looking forward to seeing their grandparents this weekend.
52. Unless you try your best, you won’t be successful.
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4.2:
a: x^2-x+1=x^2-x+1/4+3/4
=(x-1/2)^2+3/4>=3/4>0 với mọi x
=>x^2-x+1 ko có nghiệm
b: 3x-x^2-4
=-(x^2-3x+4)
=-(x^2-3x+9/4+7/4)
=-(x-3/2)^2-7/4<=-7/4<0 với mọi x
=>3x-x^2-4 ko có nghiệm
5:
a: x^2+y^2=25
x^2-y^2=7
=>x^2=(25+7)/2=16 và y^2=16-7=9
x^4+y^4=(x^2)^2+(y^2)^2
=16^2+9^2
=256+81
=337
b: x^2+y^2=(x+y)^2-2xy
=1^2-2*(-6)
=1+12=13
x^3+y^3=(x+y)^3-3xy(x+y)
=1^3-3*1*(-6)
=1+18=19
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1 interested in travelling by plane
2 15 minutes riding his bike to school
3 is made by my mother everymorning
4 take care of her little brother
5 able to speak 2 languages when he was young
6 able to play the piano
7 is played all over VN
8 to play voleyball very well when he was young
9 to go fishing when he was young
10 way to the shopping mall
C12:
\(nK=\dfrac{19,5}{39}=0,5\left(mol\right)\)
\(2K+2H_2O\rightarrow2KOH+H_2\)
0,5 0,5 0,5 0,25 (mol)
mKOH = 0,5.56 = 28 (g)
m\(H_2=0,25.2=0,5\left(g\right)\)
mdd = mK + mddH2O - mH2
= 19,5 + 261 - 0,5 = 280 (g)
\(C\%_{dd}=\dfrac{28.100}{280}=10\%\)
=> Chọn D
II. Tự luận
C1 :
\(4P+5O_2\underrightarrow{t^o}2P_2O_5\)
\(3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\)
C2 :
\(N_2O_5+H_2O\rightarrow2HNO_3\)
=> Pứ hóa hợp
\(Fe_2O_3+3CO\underrightarrow{t^o}2Fe+3CO_2\)
=> Pứ thế
C3:
Trích mẫu thử ở mỗi dung dịch , đánh số thứ tự , ta nhúng quỳ :
+ Quỳ chuyển đỏ : HCl
+ Quỳ chuyển xanh : NaOH
+ Quỳ không chuyển màu : NaCl
C4:
\(nCuO=\dfrac{2,4}{80}=0,03\left(mol\right)\)
\(CuO+H_2\rightarrow Cu+H_2O\)
0,03-->0,03--->0,03-->0,03
\(VH_2=0,03.22,4=0,672\left(l\right)\)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
0,02 0,03 (mol)
\(mAl=0,02.27=0,54\left(g\right)\)