a: Xét ΔDEF có \(EF^2=DE^2+DF^2\)

nên ΔDEF vuông tại D

b: Xét ΔDEF vuông tại D có DK là đường cao 

nên \(\left\{{}\begin{matrix}DK\cdot FE=DE\cdot DF\\DF^2=FK\cdot FE\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}DK=4.8\left(cm\right)\\FK=6.4\left(cm\right)\end{matrix}\right.\)

1, He said that he had a sister, her name was Hoa

2, He asked us not to step on that floor

3, He asked how much meat she had bought

4, He asked her if that book was hers

5, He asked me if that book was mine

Cần gì , giúp được giúp cho

bạn cần giúp gì,mình giúp cho nè 

100:0=

D

D

a, (1) \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

(2) \(AlCl_3+3NaOH\rightarrow3NaCl+Al\left(OH\right)_{3\downarrow}\)

\(2Al\left(OH\right)_3\underrightarrow{t^o}Al_2O_3+3H_2O\)

(4) \(2Al_2O_3\underrightarrow{đpnc}4Al+3O_2\)

b, (1) \(2Fe+3Cl_2\underrightarrow{t^o}2FeCl_3\)

(2) \(FeCl_3+3NaOH\rightarrow3NaCl+Fe\left(OH\right)_{3\downarrow}\)

(3) \(2Fe\left(OH\right)_3\underrightarrow{t^o}Fe_2O_3+H_2O\)

(4) \(Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)

(5) \(Fe+2HCl\rightarrow FeCl_2+H_2\)

c, (1) \(2Al_2O_3\underrightarrow{đpnc}4Al+3O_2\)

(2) \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

(3) \(Al_2\left(SO_4\right)_3+3BaCl_2\rightarrow3BaSO_{4\downarrow}+2AlCl_3\)

(4) \(AlCl_3+3NaOH\rightarrow3NaCl+Al\left(OH\right)_{3\downarrow}\)

d, (1) \(S+O_2\underrightarrow{t^o}SO_2\) 

(2) \(2SO_2+O_2\xrightarrow[V_2O_5]{t^o}2SO_3\)

 (3) \(SO_3+H_2O\rightarrow H_2SO_4\)

(4) \(H_2SO_4+2NaOH\rightarrow Na_2SO_4+2H_2O\)

 (5) \(Na_2SO_4+BaCl_2\rightarrow2NaCl+BaSO_{4\downarrow}\)

e, (1) \(2Al_2O_3\underrightarrow{đpnc}4Al+3O_2\)

(2) \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

(3) \(AlCl_3+3NaOH\rightarrow3NaCl+Al\left(OH\right)_{3\downarrow}\)

(4) 

(5) \(NaAlO_2+CO_2+2H_2O\rightarrow Al\left(OH\right)_{3\downarrow}+NaHCO_3\)

3^x x 2 + 15 = 33

<=> 3^x = 9

<=> x = 2

3^x . 2 + 15 = 33

3^x . 2 = 33 - 15 = 18

3^x = 18 : 2 = 9 = 3²

=> x = 2

\(3^x.2+15=33\)

\(< =>3^x.2=33-15=18\)

\(< =>3^x=18:2=9\)

\(< =>x=2\)

\(1,x=16\Rightarrow A=\dfrac{16-1}{\sqrt{16}}=\dfrac{15}{4}\)

\(2,B=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}-\dfrac{\sqrt{x}-1}{\sqrt{x}+1}+4\sqrt{x}\left(dl:x>0,x\ne1\right)\)

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

\(3,P=A.B=\dfrac{x-1}{\sqrt{x}}.\dfrac{4x\sqrt{x}}{x-1}=4x\)

\(\sqrt{P}>P\Leftrightarrow\sqrt{4x}>4x\Leftrightarrow\left(\sqrt{4x}\right)^2>\left(4x\right)^2\Leftrightarrow4x>16x^2\Leftrightarrow4x-16x^2>0\Leftrightarrow4x\left(1-4x\right)>0\)

\(\Leftrightarrow\left[{}\begin{matrix}4x>0\\1-4x>0\end{matrix}\right.\)

 \(\Leftrightarrow\left[{}\begin{matrix}x>0\\x< \dfrac{1}{4}\end{matrix}\right.\) 

Vậy \(S=\left\{x|0< x< \dfrac{1}{4}\right\}\) thì \(\sqrt{P}>P\)

\(4,\left|P\right|>P\Leftrightarrow\left|4x\right|>4x\)

\(TH_1:x\ge0\\4x>4x\Leftrightarrow4x-4x>0\Leftrightarrow0>0\left(VL\right) \)

\(TH_2:x< 0\\ -4x>4x\Leftrightarrow-4x-4x>0\Leftrightarrow-8x>0\Leftrightarrow x< 0\)

Vậy \(x< 0\) thì \(\left|P\right|>P\)

Gọi \(x\) là số học sinh giỏi lớp 5A. Theo đề bài ta có:

\(x\) x \(\dfrac{3}{5}\) = 6 ⇒ \(x\) = 6 x \(\dfrac{5}{3}\) = 10 (học sinh)

Vậy lớp 5A có 10 học sinh giỏi

Số học sinh lớp 5A là:

            6 : \(\dfrac{3}{5}\)\frac{3}{5}

​= 10 ( em)

                     Đ/S: 10 em

Số học sinh giỏi của lớp 5A:

6:3/5=10(HS)

ĐS: 10HS