1. seems 2. feel 3. are staying 4. is 5. stands 6. looks 7. costs 8. make 9. tastes 10. is shining

1 seems

2 are feeling

3 are staying

4 is

5 stands

6 looks

7 costs

8 make

9 tastes

10 is shining

a) Ta có: \(\left(3x+1\right)^3\)

\(=\left(3x\right)^3+3\cdot\left(3x\right)^2\cdot1+3\cdot3x\cdot1^2+1^3\)

\(=27x^3+27x^2+9x+1\)

b) Ta có: \(\left(2x-\dfrac{1}{x}\right)^3\)

\(=\left(2x\right)^3-3\cdot\left(2x\right)^2\cdot\dfrac{1}{x}+3\cdot2x\cdot\left(\dfrac{1}{x}\right)^2-\left(\dfrac{1}{x}\right)^3\)

\(=8x^3-12x+\dfrac{6}{x}-\dfrac{1}{x^3}\)

1 up

2 off

3 up 

4 around 

5 down

1. The city has recently set up/off /out a library in the West Suburb.
2. I don't think Fred gets over/through /on with Daniel. They always argue.
3. You should take your hat in/over /off in the cinema.
4. Their children have all grown up/out /out of and left home for the city to work.
5. We were shown up/off /around the town by a volunteer student.
6 The town council decided to pull up/over /down the building, as it was unsafe.

a,\(\Rightarrow\)R4 nt R5 nt {(R1 nt R3)//R2)}(goi R3=x(\(\Omega\))

\(\Rightarrow Rtd=R4+R5+\dfrac{R2\left(R1+x\right)}{R2+R1+x}=\dfrac{U}{Ia1}=\dfrac{6}{0,5}=12\Omega\)

\(\Rightarrow3+6+\dfrac{4\left(6+x\right)}{4+6+x}=12\Rightarrow x=R3=6\Omega\)

b, \(\Rightarrow\)R5 nt {R3 // {R2 nt (R1//R4)}} lay R3=6(om)

\(\Rightarrow Ia1=\dfrac{U}{Rtd}=\dfrac{6}{R5+\dfrac{R3\left\{R2+\dfrac{R1R4}{R1+R4}\right\}}{R3+R2+\dfrac{R1R4}{R1+R4}}}=\dfrac{6}{9}=\dfrac{2}{3}A\)

\(\Rightarrow Ia1=Ia2+I1\Rightarrow Ia2=Ia1-I1=\dfrac{2}{3}-I1\)

\(\Rightarrow U124=U-U5=6-Ia1.R5=2V\Rightarrow I14=\dfrac{U124}{R124}=\dfrac{2}{R2+\dfrac{R1R4}{R1+R4}}=\dfrac{1}{3}A\Rightarrow U14=U1=I14.R14=\dfrac{2}{3}V\Rightarrow I1=\dfrac{U1}{R1}=\dfrac{1}{9}A\Rightarrow Ia2=\dfrac{2}{3}-\dfrac{1}{9}=\dfrac{5}{9}A\)

Huhu làm hộ em với để em tham khảo cách làm ạ

Bài `13`

\(a,\sqrt{27}+\sqrt{48}-\sqrt{108}-\sqrt{12}\\ =\sqrt{9\cdot3}+\sqrt{16\cdot3}-\sqrt{36\cdot3}-\sqrt{4\cdot3}\\ =3\sqrt{3}+4\sqrt{3}-6\sqrt{3}-2\sqrt{3}\\ =\left(3+4-6-2\right)\sqrt{3}\\ =-\sqrt{3}\\ b,\left(\sqrt{28}+\sqrt{12}-\sqrt{7}\right)\cdot\sqrt{7}+\sqrt{84}\\ =\left(\sqrt{4\cdot7}+\sqrt{4\cdot3}-\sqrt{7}\right)\cdot\sqrt{7}+\sqrt{4\cdot21}\\ =\left(2\sqrt{7}+2\sqrt{3}-\sqrt{7}\right)\cdot\sqrt{7}+2\sqrt{21}\\ =2\cdot7+2\sqrt{21}-7+2\sqrt{21}\\ =14+2\sqrt{21}-7+2\sqrt{21}\\ =7+4\sqrt{21}\)

17:
ĐKXĐ: \(\left\{{}\begin{matrix}x>=0\\x< >4\end{matrix}\right.\)

Để A là số nguyên thì \(\sqrt{x}-1⋮\sqrt{x}-2\)

=>\(\sqrt{x}-2+1⋮\sqrt{x}-2\)

=>\(\sqrt{x}-2\in\left\{1;-1\right\}\)

=>\(\sqrt{x}\in\left\{3;1\right\}\)

=>\(x\in\left\{9;1\right\}\)

16:

a: BC=BH+CH

=9+16

=25(cm)

Xét ΔABC vuông tại A có AH là đường cao

nên \(AH^2=HB\cdot HC\)

=>\(AH=\sqrt{9\cdot16}=12\left(cm\right)\)

Xét ΔABC vuông tại A có AH là đường cao

nên \(\left\{{}\begin{matrix}AB^2=BH\cdot BC\\AC^2=CH\cdot BC\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}AB=\sqrt{9\cdot25}=15\left(cm\right)\\AC=\sqrt{16\cdot25}=20\left(cm\right)\end{matrix}\right.\)

b: M là trung điểm của AC

=>AM=AC/2=10(cm)

Xét ΔAMB vuông tại A có

\(tanAMB=\dfrac{AB}{AM}=\dfrac{15}{10}=\dfrac{3}{2}\)

nên \(\widehat{AMB}\simeq56^0\)