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

Viết lại bài với chính xác tương đối (không mắc lỗi nghiệm trọng)

My best friend is Thanh An. We came to the same Archimedes School, and we have been friends for 1 year. Thanh An is not short and not tall, he has a normal height. He had a short black hair and a big black eyes. He is very kind and smart, especially in Math. He is funny too, he makes me laugh even when I feel bad. I like to be friends with him. Because he is very smart at Math, we created a Zalo group to do our homework. I will tell you my secret: I sometimes copy his Math homework too (HAHAHA). I hope that I can be friends with him forever.

3, enough warm
5, enough money
9,enough far

1. hard enough

2. well enough

3. warm enough

4. rich enough

5. enough money

6. enough time

7. strong enough

8. enough French

9. far enough

10. enough chairs

(P/s: nãy h ngồi làm mợt lắm á , tick cho tui nghen (～￣▽￣)～)

BÀI 6

n_fe= 0,1(mol) 

Fe + 2HCl ➝ FeCl₂ + H₂

_{0,1➝   0,2                       ➝ 0,1       (mol)}

a,  V_H2 = 0,1.22,4= 2,24(l)

b, C_{M HCl}= \(\dfrac{0,2}{0,5}\)= 0,4M

BÀI 7

n_Al = 0,1(mol)

n_H2SO4= \(\dfrac{200.9,8\%}{100\%.98}\)= 0,2(mol)

          2Al + 3H₂SO₄ ➝ Al₂(SO₄)₃ + 3H₂↑

          0,07➝  0,105  ➝  0,035                       (mol)

Vì hiệu suất = 70% => n_{Al phản ứng}= \(\dfrac{70\%}{100\%}\).0,1=0,07(mol)

=> mAl2(SO4)3= 0,035.342= 11,97(g)

Do you use solar energy in your home?

People won't use flying cars until the year 2050

We must always obey the traffic rules for our safety 

The major cause of death for children living in the slums is malnutrition

Solar panels will be installed on the roof of our house next week

Veronica is a good friend of mine

Pollution is the most serious problem

a)2 + 5 + 11 + ... + 47+ 95
Tính chất : 5 = 2.2 + 1
11 = 5.2 + 1
Vậy các số của dãy là: 2 + 5 + 7 + 11 + 23 + 47 + 95
= (2 + 5 + 7) + (5 + 95) + (23 + 47)
= 14 + 100 + 70
= 184