giúp mình bài 2 với ạ,mình cần gấp!!!!!
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Bài 2
a) 3x(x - 1) - 3(x - 1) = 0
(x - 1)(3x - 3) = 0
3(x - 1)(x - 1) = 0
3(x - 1)² = 0
x - 1 = 0
x = 1
b) x² - x = 0
x(x - 1) = 0
x = 0 hoặc x - 1 = 0
*) x - 1 = 0
x = 1
Vậy x = 0; x = 1
c) 25x² - 100x = 0
25x(x - 4) = 0
25x = 0 hoặc x - 4 = 0
*) 25x = 0
x = 0
*) x - 4 = 0
x = 4
Vậy x = 0; x = 4
d) (2x - 1)² - 64 = 0
(2x - 1 - 8)(2x - 1 + 8) = 0
(2x - 9)(2x + 7) = 0
*) 2x - 9 = 0
2x = 9
x = 9/2
*) 2x + 7 = 0
2x = -7
x = -7/2
Vậy x = -7/2; x = 9/2
Câu 3:
a: \(\left(x+2\right)^2=x^2+4x+4\)
b: \(\left(x+3\right)^2=x^2+6x+9\)
c: \(\left(x-3\right)^2=x^2-6x+9\)
d: \(\left(x-7\right)^2=x^2-14x+49\)
e: \(x^2-6x+9=\left(x-3\right)^2\)
f: \(x^2-8x+16=\left(x-4\right)^2\)
g: \(=\left(x-10\right)\left(x+10\right)\)
h: \(=\left(x-11\right)\left(x+11\right)\)
Bài 1:
a) \(R_{tđ}=R_1+R_2=7,5+15=22,5\left(\Omega\right)\)
b) \(I=I_1=I_2=0,3A\)
\(\left\{{}\begin{matrix}U=I.R_{tđ}=0,3.22,5=6,75\left(V\right)\\U_1=I_1.R_1=0,3.7,5=2,25\left(V\right)\\U_2=I_2.R_2=0,3.15=4,5\left(V\right)\end{matrix}\right.\)
Bài 2:
a) Điện trở tương đương:
\(R_{tđ}=R_1+R_2=3+6=9\left(\Omega\right)\)
b) \(I=I_1=I_2=\dfrac{U}{R_{tđ}}=\dfrac{9}{9}=1\left(A\right)\left(R_1ntR_2\right)\)
Hiệu điện thế giữa 2 đầu mỗi điện trở:
\(\left\{{}\begin{matrix}U_1=I_1.R_1=1.3=3\left(V\right)\\U_2=I_2.R_2=1.6=6\left(V\right)\end{matrix}\right.\)
2.
a. \(\dfrac{-4}{9}\) . \(\dfrac{7}{15}+\dfrac{4}{-9}.\dfrac{8}{15}\) = \(\dfrac{-4}{9}.\left(\dfrac{7}{15}+\dfrac{8}{15}\right)\) = \(\dfrac{-4}{9}\) . 1 = \(\dfrac{-4}{9}\)
b. \(\dfrac{5}{-4}.\dfrac{16}{25}+\dfrac{-5}{4}.\dfrac{9}{25}\) = \(\dfrac{-5}{4}.\left(\dfrac{16}{25}+\dfrac{6}{25}\right)\) = \(\dfrac{-5}{4}.1\) = \(\dfrac{-5}{4}\)
c. \(4\dfrac{11}{23}-\dfrac{9}{14}+2\dfrac{12}{23}-\dfrac{5}{4}\) = \(\left(4\dfrac{11}{23}+2\dfrac{12}{23}\right)\) \(-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{68}{23}-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{745}{322}\) - \(\dfrac{5}{4}=\dfrac{685}{644}\)
d. \(2\dfrac{13}{27}-\dfrac{7}{15}+3\dfrac{14}{27}-\dfrac{8}{15}\) = \(\left(2\dfrac{13}{27}+3\dfrac{14}{27}\right)\) - \(\left(\dfrac{7}{15}-\dfrac{8}{15}\right)\) = \(\dfrac{68}{27}\) - \(\dfrac{-1}{15}\) =
e. \(11\dfrac{1}{4}-\left(2\dfrac{7}{5}+5\dfrac{1}{4}\right)\) = \(11\dfrac{1}{4}\) - \(\dfrac{81}{20}\) = \(\dfrac{-13}{10}\)
g. \(\dfrac{7}{19}.\dfrac{8}{11}+\dfrac{7}{19}.\dfrac{3}{11}+\dfrac{12}{19}\) = \(\dfrac{7}{9}.\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{12}{19}\) = \(\dfrac{7}{9}.1+\dfrac{12}{19}\) = \(\dfrac{7}{19}+\dfrac{12}{19}\) = \(1\)
Bài 1:
(1) \(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)
(2) \(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
(3) \(AlCl_3+3KOH\rightarrow3KCl+Al\left(OH\right)_3\downarrow\)
(4) \(Al\left(OH\right)_3+3HCl\rightarrow AlCl_3+3H_2O\)
(5) \(2Al\left(OH\right)_3\xrightarrow[]{t^o}Al_2O_3+3H_2O\)
(6) \(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)
(7) \(Al_2O_3+2NaOH\rightarrow2NaAlO_2+H_2O\)
(8) \(Al+NaOH+H_2O\rightarrow NaAlO_2+\dfrac{3}{2}H_2\uparrow\)
(9) \(2Al_2O_3\xrightarrow[criolit]{đpnc}4Al+3O_2\)
Bài 2:
PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)
a_______a_______a_____a (mol)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
b_______b________b____b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}56a+24b=21,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3\cdot56}{21,6}\cdot100\%\approx77,78\%\\\%m_{Mg}=22,22\%\end{matrix}\right.\)
Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Mg\left(OH\right)_2}=n_{Mg}=0,2\left(mol\right)\\n_{Fe\left(OH\right)_2}=n_{Fe}=0,3\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{kết.tủa}=m_{Fe\left(OH\right)_3}+m_{Mg\left(OH\right)_2}=0,3\cdot107+0,2\cdot56=43,3\left(g\right)\)
Theo các PTHH: \(n_{H_2SO_4\left(p/ứ\right)}=0,5\left(mol\right)\) \(\Rightarrow n_{H_2SO_4\left(ban.đầu\right)}=0,5\cdot120\%=0,6\left(mol\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,6\cdot98}{10\%}=588\left(g\right)\)
Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{MgO}=n_{Mg}=0,2\left(mol\right)\\n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{chất.rắn}=m_{MgO}+m_{Fe_2O_3}=0,2\cdot40+0,15\cdot160=32\left(g\right)\)
Mình đang càn gấp câu c ạ, mọi người giúp mình câu c được không ạ??
Gọi nMg=x mol, nAl=y mol
nH2=\(\dfrac{5,6}{22,4}=0,25mol\)
Mg + 2HCl → MgCl2 + H2
x → 2x → x → x
2Al + 6HCl → 2AlCl3 + 3H2
y → 3y → y → 1,5y
\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=0,25\end{matrix}\right.\) ⇔ \(\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
a) %Mg=\(\dfrac{0,1.24}{5,1}.100\%\approx47,06\%\)
%Al = 100% - 47,06%=52,94%
b) nHCl=2x+3y=0,1.2+0,1.3=0,5 mol
mHCl = 0,5 . 36,5=18,25g
m=\(\dfrac{18,25.100}{10}=182,5g\)
c) MgCl2 + 2NaOH → Mg(OH)2 + 2NaCl
x → x
AlCl3 + 3NaOH → Al(OH)3 + 3NaCl
y → y
a = mMg(OH)2 + mAl(OH)3
= 0,1.58 + 0,1.78 =13,6g
Xét ∆ABC có:
\(\widehat{A_1}+\widehat{B}+\widehat{C}=180^o\)
\(\Rightarrow\widehat{A_1}=180^o-\left(\widehat{B}+\widehat{C}\right)=180^o-\left(70^o+30^o\right)=80^o\)
Vì AD // BC nên \(\widehat{A_2}=\widehat{C}=30^o\)
cảm ơn bn nhìu nha