\(a.Thayx=-3:A=\left(-3\right)^2-2.\left(-3\right)+3.\\ =9+6+3=18.\)

\(b.Thay\) \(x=m;A=3:\)

\(3=m^2-2m+3.\\ \Leftrightarrow m^2-2m=0.\\ \Leftrightarrow\left[{}\begin{matrix}m=0.\\m=2.\end{matrix}\right.\)

Bài 1:

a, Biểu thức tính quãng đường đi được trong a giờ đầu tiên là: 40a

Biểu thức tính quãng đường AB là: 40a+50b

Bài 2:
a, Thay x=-3 vào A ta có:
\(A=x^2-2x+3=\left(-3\right)^2-2\left(-3\right)+3=9+6+3=18\)

b, Thay x=m, A=3 ta có:

\(m^2-2m+3=3\\ \Leftrightarrow m^2-2m=0\\ \Leftrightarrow m\left(m-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}m=0\\m=2\end{matrix}\right.\)

a) Xét \(\Delta ABC\) cân tại A:

AH là đường cao (gt).

\(\Rightarrow\) AH là đường phân giác \(\widehat{BAC}\) (T/c tam giác cân).

\(\Rightarrow\widehat{BAH}=\widehat{CAH}.\)

b) Xét \(\Delta ABC\) cân tại A:

AH là đường cao (gt).

\(\Rightarrow\) AH là đường trung tuyến (T/c tam giác cân).

\(\Rightarrow\) H là trung điểm của BC.

Xét \(\Delta ABC:\)

H là trung điểm của BC (cmt).

\(HI//AB\left(gt\right).\)

\(\Rightarrow\) I là trung điểm của AC.

Xét \(\Delta ABC:\)

I là trung điểm của AC (cmt).

H là trung điểm của BC (cmt).

\(\Rightarrow\) IH là đường trung bình.

\(\Rightarrow\) \(IH=\dfrac{1}{2}AB\) (T/c đường trung bình).

Mà \(AB=AC(\Delta ABC\) cân tại A\().\)

     \(IC=\dfrac{1}{2}AC\) (I là trung điểm của AC).

\(\Rightarrow IH=IC.\)

\(\Rightarrow\Delta IHC\) cân tại I.

Trả lời:

There are some characteriss shared by most Vietnamese. Firstly, Vietnamese people are hard working. They always put a lot of effort in doing their job. Secondly, they are economical people. They often save money by sending them into the bank and use it for important purposes. Finally, they are kind and friendly people. They are always willing to help anyone. These features are believed to be part of the Vietnamese character.

Bài làm của em đây ạ:

There are some characteriss shared by most Vietnamese people. The first characteris is saving money. Vietnamese people is very saving, they save money from young to old. Some people work all their life just for their offspring after that. The second characteris is Follow the crowd. They will follow the idea of many people even if it’s wrong. Seems silly? But it's right. This happens on social networks a lot. For example, when there are some the phenomenon of grinding out in the life, Vietnamese people will listen to the majority, maybe it's wrong they still believe until there has any evidence. The third characteris is love football: People tend to celebrate whenever Vietnamese football team wins. They were so excited to hear the news of the win. When Vietnam team won, they pour into the street to celebrate. These features are believed to be part of the Vietnamese character.

In my opinion, there are 3 typical characteriss of the Vietnamese people.

First, it’s saving money. They usually save money from their young age and until their old age. Nowadays, in the city, this view seems to change but those in countryside still share this point. The second outstanding feature is they live modestly and always work hard. In the past, they live mainly on farming, they wake up early in the morning and work all long day on the farm till the end of afternoon. They also don’t demand too much for their life, which you can be seen when seeing their houses and their customs. Until these modern days, they still have this habit. Besides, Vietnamese are actually friendly and hospitable people. Their hospitality is shown clearly in the way they greet and treat their friends and visitors. Either pre-arranged or unexpected, you always can receive a warm welcome by Vietnamese people because this is a part of their traditional culture.

Despite going through many ups and downs, basically, Vietnamese have still kept traditional values in their lifestyle reflected in the relationship of family and friends.

1/ how is english helpful to you in the present time ?

-> English helps me communicate with foreign people, make friends with many people all over the world and can give me a well-paid job in the future.

2/ what technical problems do you often have when you use your computer ?

-> I often have problem in starting the computer.

3/ what do you do to overcome difficulties in your student life if any ?

-> I should practice what I'm weak.

-> I should study more and read more books.

-> Go to extra class to widen my knowledge.

A = 3²⁰¹⁰ + 5²⁰¹⁰ cmr A ⋮ 13 

A = 3²⁰¹⁰ + 5²⁰¹⁰ = (3³)⁶⁷⁰ + (5⁴)⁵⁰².5² = 27⁶⁷⁰ + 625⁵⁰².25

27 \(\equiv\) 1 (mod 13) ⇒ 27⁶⁷⁰ \(\equiv\) 1⁶⁷⁰ (mod 13) ⇒ 27⁶⁷⁰ \(\equiv\)1 (mod 13)

625 \(\equiv\) 1(mod 13) ⇒625⁵⁰² \(\equiv\) 1⁵⁰²(mod 13) ⇒ 625⁵⁰²\(\equiv\) 1(mod 13)

25        \(\equiv\) -1 (mod 13)

625⁵⁰² \(\equiv\) 1 (mod 13)

Nhân vế với vế ta được: 625⁵⁰².25 \(\equiv\) -1 (mod 13)

              Mặt khác ta có: 27⁶⁷⁰         \(\equiv\) 1 (mod 13)

Cộng vế với vế ta được:27⁶⁷⁰ + 625⁵⁰².25 \(\equiv\) 1 -1 (mod 13 )

                                      27⁶⁷⁰ + 625⁵⁰².25 \(\equiv\) 0 (mod 13)

                         ⇒         27⁶⁷⁰ + 625⁵⁰².25  ⋮ 13

 ⇒ A = 3²⁰¹⁰ + 5²⁰¹⁰ = 27⁶⁷⁰ + 625⁵⁰².25 ⋮ 13 (đpcm)