\(1,V_{O_2}=\dfrac{5,6}{32}.22,4=3,92(l)\\ 2,m_{O_2}=\dfrac{2,26}{22,4}.32\approx 3,23(g)\)

a)\(\dfrac{-x^2+4x-4}{x^2-1}\\ =\dfrac{-\left(x^2-4x+4\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{-\left(x-2\right)^2}{\left(x-1\right)\left(x+1\right)}\)

b) \(\dfrac{2-x}{1-x^4}=\left(2-x\right):\left(1-x^4\right)=\dfrac{2}{\dfrac{x}{x^4}}\)

Bài 1:

\(=-\dfrac{x^2+4x-4}{x^2-1}.\dfrac{1-x^4}{2-x}=\dfrac{-\left(x^2-4x+4\right)}{\left(x+1\right)\left(x-1\right)}.\dfrac{-\left(x+1\right)\left(x-1\right)\left(1+x^2\right)}{2-x}\)\(=1+x^2\)

bài 2:2+(3+x/(x+1))/(2-3x)=2

=>(3+x/(x+1))/(2-3x)=0

=>3+x/(x+1)=0

=>(3x+3+x)/(x+1)=0

=>(4x+3)/(x+1)=0

=>4x+3=0

=>x=-4/3

Áp dụng định lí Pitago ta tính được BC
Tam giác ABC vuông tại A có AM là trung tuyển \(\Rightarrow AM=\dfrac{1}{2}BC\)

a: =6x5/4=30/4=15/2

b: =8x7/12=56/12=14/3

c: =5x8/7=40/7

d: =15x3/5=9

a: =6x5/4=30/4=15/2

b: =8x7/12=56/12=14/3

c: =5x8/7=40/7

d: =15x3/5=9

\(a,6:\dfrac{4}{5}=6\text{×}\dfrac{5}{4}=\dfrac{30}{4}=\dfrac{15}{2}\)

\(b,8:\dfrac{12}{7}=8\text{×}\dfrac{7}{12}=\dfrac{56}{12}=\dfrac{14}{3}\)

\(c,5:\dfrac{7}{8}=5\text{×}\dfrac{8}{7}=\dfrac{40}{7}\)

\(d,15:\dfrac{5}{3}=15\text{×}\dfrac{3}{5}=\dfrac{45}{5}=9\)

Đặt \(\dfrac{a}{b}=\dfrac{c}{d}=k\)

\(\Leftrightarrow\left\{{}\begin{matrix}a=bk\\c=dk\end{matrix}\right.\)

\(\dfrac{a}{a-b}=\dfrac{bk}{bk-b}=\dfrac{k}{k-1}\)

\(\dfrac{c}{c-d}=\dfrac{dk}{dk-d}=\dfrac{k}{k-1}\)

Do đó: \(\dfrac{a}{a-b}=\dfrac{c}{c-d}\)

Câu 7:

\(2Al_2O_3\underrightarrow{^{đpnc}}4Al+3O_2\\ m_{Al_2O_3}=95\%.1=0,95\left(tấn\right)\\ m_{Al\left(LT\right)}=\dfrac{108.0,95}{204}=\dfrac{171}{340}\left(tấn\right)\\ Vì:H=98\%\\ \Rightarrow m_{Al\left(TT\right)}=\dfrac{171}{340}.98\%=\dfrac{8379}{17000}\left(tấn\right)=\dfrac{8379}{17}\left(kg\right)\)

Mấy bài này dài với số lượng nhiều nên bn ưu tiên việc tách ra thì sẽ có người trả lời đấy ạ !

`23/9-(-17)/9 =23/9 + 17/9= 40/9`

`9/8 - (-11)/8=9/8 +11/8=20/8= 5/2`

`-1/2-5/2=(-1-5)/2=-6/2=-3`

`7/(-25)+(-8)/25=-7/25 +(-8)/25 = -15/25= -3/5`

`1/6+(-5/6)=-4/6=-2/3`

`5/27 - 2/(-27)=5/27 - (-2)/27=5/27+2/27=7/27`

\(a,\dfrac{1}{2}-\dfrac{1}{3}-\left(-\dfrac{5}{4}\right)=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{4}=\dfrac{1\times6-1\times4+5\times3}{12}=\dfrac{6-4+15}{12}=\dfrac{17}{12}\\ b,\dfrac{5}{4}-\dfrac{1}{2}-\dfrac{7}{8}=\dfrac{5\times2-1\times4-7}{8}=\dfrac{10-4-7}{8}=-\dfrac{1}{8}\\ c,\dfrac{1}{5}-\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1\times2-1\times5+9}{10}=\dfrac{2-5+9}{10}=\dfrac{6}{10}=\dfrac{3}{5}\\ d,\dfrac{5}{4}-\dfrac{1}{3}+\dfrac{7}{6}=\dfrac{5\times3-1\times4+7\times2}{12}=\dfrac{15-4+14}{12}=\dfrac{25}{12}\)

`1/2+(-1/3)-(-5/4)`

`=1/2-1/3+5/4`

`=3/6-2/6+5/4`

`=1/6+5/4`

`=2/12+15/12`

`=17/12`

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`5/4-1/2+(-7/8)`

`=5/4-1/2-7/8`

`=10/8-4/8-7/8`

`=6/8-7/8`

`=-1/8`

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`1/5-1/2+9/10`

`=2/10-5/10+9/10`

`=-3/10+9/10`

`=6/10`

`=3/5`

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`5/4-1/3+7/6`

`=15/12-4/12+14/12`

`=11/12+14/12`

`=25/12`

`#lv`