I.

1. Yes, he does.

2. They lie on the grass, looking at the sky and daring each other to find the Milky Way.

3. I like to live in the countryside because it is peaceful and tranquil. (bạn có thể tự đưa suy nghĩ của bản thân vào nha).

II.

1 from

2 is

3 teaching

4 in

5 practise

6 test

7 class

8 at

9 other

10 little

D.

I. 

1. In the 1970s, skateboarding suddenly became very popular.

2. At first, skateboarders moved slowly on flat, smooth areas.

3. Then they began to ride quickly. This is called "freestyle" skateboarding.

4. Soon they were skateboarding skillfully up ramps and doing tricks in the air.

II.

1. Your house is not as small as my house.

2. I like listening to music.

3. The white dress is not as expensive as the black one.

4. Mary is the most intelligent in my group.

Câu 3:

Ta có: 

\(2021^5⋮14\) 

\(\Rightarrow2021^{2020}=2021^{5.404}=\left(2021^5\right)^{404}⋮14\) 

Vậy số dư trong phép chia \(2021^{2020}cho14\) là \(0\) 

Chúc bạn học tốt!

Câu 4:

Ta có:

\(7:4dư3hay\left(-1\right)\)  

\(\Rightarrow7^7=\equiv\left(-1\right)^7=\left(-1\right)\left(mod4\right)\) 

\(\Rightarrow7^{7^7}\equiv7^{4k+3}=....1.7^3=....3\) 

Tương tự từ đó suy ra \(7^{7^{7^{7^{7^7}}}}\) có chữ số tận cùng với \(7^{7^{7^7}}\) 

\(\Rightarrow7^{7^{7^{7^{7^7}}}}-7^{7^{7^7}}=....0⋮10\) 

Vậy \(7^{7^{7^{7^{7^7}}}}-7^{7^{7^7}}⋮10\left(đpcm\right)\)  

(\(x\) + 2).(\(x\) - 4) = 0

\(\left[{}\begin{matrix}x+2=0\\x-4=0\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)

Vậy \(x\) \(\in\) {-2; 4}

TH1: x + 2 = 0
         x       = 0 - 2

         x       = -2

TH2: x - 4 = 0

         x      = 0 - 4

         x      = -4

Vậy ...

Chúc bạn học tốt nhé

x=-2;4

C

C

1. Lisa does not speak French fluently.

-> Lisa wishes____she spoke French fluently.________________

2. The teacher wants you to work more than you speak.

-> The teacher wishes____you worked more than you spoke_______________

3. I must go now

-> I wish___I didn't have to go now_______________

4. She is always missing the bus .

-> She wishes______she weren't always missing the bus .______________

5. I do not know her telephone.

-> I wish_I knew her telephone.____________________

6. I never try this food before.

-> I wish__I had tried this food_____________________

7. My friends often go camping trip without me

-> I wish____my friends didn't _often go camping trip without me______________________

\(sina=\frac{3}{5}\Rightarrow sin^2a=\frac{9}{25}\) ; \(cos^2a=1-\frac{9}{25}=\frac{16}{25}\)

\(A=\frac{cota+tana}{cota-tana}=\frac{sina.cosa\left(cota+tana\right)}{sina.cosa\left(cota-tana\right)}=\frac{cos^2a+sin^2a}{cos^2a-sin^2a}=\frac{1}{cos^2a-sin^2a}=\frac{1}{\frac{16}{25}-\frac{9}{25}}=\frac{25}{7}\)

\(B=\frac{sin^2a-cos^2a}{sin^2a-3cos^2a}=\frac{\frac{sin^2a}{sin^2a}-\frac{cos^2a}{sin^2a}}{\frac{sin^2a}{sin^2a}-\frac{3cos^2a}{sin^2a}}=\frac{1-cot^2a}{1-3cot^2a}=\frac{1-\left(-\frac{1}{3}\right)^2}{1-3\left(-\frac{1}{3}\right)^2}=\)

\(C_1=sin^2a+cos^2a+cos^2a=1+cos^2a=1+\frac{1}{1+tan^2a}=1+\frac{1}{1+\left(-2\right)^2}\)

\(C_2=\left(sin^2a+cos^2a\right)\left(sin^2a-cos^2a\right)=sin^2a-cos^2a=1-2cos^2a\)

\(=1-\frac{2}{1+tan^2a}=1-\frac{2}{1+\left(-2\right)^2}\)