Bỏ () Rồi tính nhé
 

4: \(D=x^2-2\cdot x\cdot\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{3}{4}\)

\(=\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\ge\dfrac{3}{4}\forall x\)

Dấu '=' xảy ra khi \(x=\dfrac{1}{2}\)

\(A=\left(x^2-6x+9\right)-7=\left(x-3\right)^2-7\ge7\\ A_{min}=7\Leftrightarrow x=3\\ B=\left(9x^2+6x+1\right)-4=\left(3x+1\right)^2-4\ge-4\\ B_{min}=-4\Leftrightarrow x=-\dfrac{1}{3}\\ C=\left(x^2-2\cdot\dfrac{5}{2}x+\dfrac{25}{4}\right)-\dfrac{9}{4}=\left(x-\dfrac{5}{2}\right)^2-\dfrac{9}{4}\ge-\dfrac{9}{4}\\ C_{min}=-\dfrac{9}{4}\Leftrightarrow x=\dfrac{5}{2}\\ D=\left(x^2-x+\dfrac{1}{4}\right)+\dfrac{3}{4}=\left(x-\dfrac{1}{2}\right)^2+\dfrac{3}{4}\ge\dfrac{3}{4}\\ D_{min}=\dfrac{3}{4}\Leftrightarrow x=\dfrac{1}{2}\)

\(E=3\left(x^2+2\cdot\dfrac{1}{3}x+\dfrac{1}{9}\right)-\dfrac{4}{3}=3\left(x+\dfrac{1}{3}\right)^2-\dfrac{4}{3}\ge-\dfrac{4}{3}\\ E_{min}=-\dfrac{4}{3}\Leftrightarrow x=-\dfrac{1}{3}\\ F=x^2-2x+1+x^2-4x+4+2021\\ F=2\left(x^2-3x+\dfrac{9}{4}\right)+\dfrac{4031}{2}=2\left(x-\dfrac{3}{2}\right)^2+\dfrac{4031}{2}\ge\dfrac{4031}{2}\\ F_{min}=\dfrac{4031}{2}\Leftrightarrow x=\dfrac{3}{2}\)

a) Ta có: MN⊥d, EF⊥d

=> MN//EF(từ vuông góc đến song song)

b) Ta có: \(\widehat{MPQ}=180^0-\widehat{MPb}=180^0-55^0=125^0\)(kề bù)

\(\Rightarrow\widehat{MPQ}=\widehat{NMc}=125^0\)

Mà 2 góc này đồng vị

=> PQ//MN

Mà MN//EF

=> PQ//EF

Me: What are you doing on Sunday afternoon?

Friend: I’m not doing anything. / Nothing much.

Me: Do you want to see a movie with me?

Friend: Sure. What movie is it?

Me: It's "The Journey to Mars".

Friend: What time does it start?

Me: It starts at 4 p.m.

Friend: Great! See you then.

Me: What are you doing on Saturday morning?

Friend: I’m free.

Me: Would you like to go to the movies with me?

Friend: Sounds good. What movie do you want to watch?

Me: How about "The Forest Book"?

Friend: What time is it on?

Me: It's at 10 a.m.

Friend: OK, let's meet at the cinema at 9:45.

1 create $\rightarrow$ c. energy (tạo ra năng lượng)

2 drive $\rightarrow$ a. machinery (vận hành máy móc)

3 generate $\rightarrow$ e. electricity (phát/tạo ra điện)

4 turn $\rightarrow$ b. turbines (quay tua-bin)

5 heat $\rightarrow$ d. houses (sưởi ấm nhà cửa)

b

1 How many types of energy sources are mentioned in the text? What are they?
$\rightarrow$ Two types of energy sources are mentioned. They are renewable and non-renewable energy sources. (hoặc kể tên cụ thể: fossil fuels/coal/oil, hydro power, nuclear power, wind power, solar power)

2 What are the disadvantages of hydro and nuclear power?
$\rightarrow$ Hydro power is expensive to build dams, and nuclear power can be very dangerous.

3 Why do you think the wind and the sun are called alternative sources of energy?
$\rightarrow$ Because they are clean, renewable, and can be used instead of non-renewable sources (fossil fuels).

4 What types of energy does Viet Nam use most?
$\rightarrow$ Viet Nam uses hydro power and fossil fuels (coal, gas, oil) most.

5 What does the professor think Viet Nam will use more in the future?
$\rightarrow$ He thinks Viet Nam will use more renewable energy sources like solar and wind power in the future.

tìm minx max của biểu thức ạ

\(\Leftrightarrow a\sqrt{a}+b\sqrt{b}\ge\left(\sqrt{a}+\sqrt{b}\right)^2\)

\(\Leftrightarrow\left(\sqrt{a}+\sqrt{b}\right)\left(a-\sqrt{ab}+b-\sqrt{a}-\sqrt{b}\right)>=0\)(đúng)

T T F T T F

0,5m=5dm

45,2cm=4,52dm

a) 5        b)4,52          c)24,3       d) 24,5