1) Áp dụng định lí Pytago vào ΔABC vuông tại A, ta được:

\(BC^2=AB^2+AC^2\)

\(\Leftrightarrow BC^2=6^2+8^2=100\)

hay BC=10(cm)

Áp dụng hệ thức lượng trong tam giác vuông vào ΔABC vuông tại A có AH là đường cao ứng với cạnh huyền BC, ta được:

\(AH\cdot BC=AB\cdot AC\)

\(\Leftrightarrow AH\cdot10=6\cdot8=48\)

hay AH=4,8(cm)

IV

1 to have

2 making 

3 leaving

4 seeing

5 to get

6 arguing - working

7 to have

8 to seeing

9 not touching

10 to disappoint

V

1 on - on

2 at - at

3 in - in

4 at

5 at 

6 in

7 in - in

8 at - in

9 in - at

10 in

VI

1 are - reach

2 comes

3 flies

4 have just decided - will undertake

5 would take

6 was

8 am attending - was attending

9 arrived - was waiting

10 had lived

VII

1 send - will receive

2 will - improve - do

3 will - has

4 doesn't phone - will leave

tờ 2

5 don't study - won't oas

VIII

1 had - would learn

2 told - would be

3 lived - would do

4 would help - knew

5 would buy - had

IX

1 went

2 were

3 wrote

4 could

5 bought

6 studied

7 went

8 would stop

9 were

10 lead

X

1 He opened the window in order to let fresh air in

2 I took my camera so that I could take some phôt

3 He studied really hard in order to get better marks

4 Jason learns Chinese to work in China

5 I've collected money in order that I will buy a new car

XI

1 A new museum has been built in the city center by the council

2The explosion had been caused by a bomb

3 Their flat was broken into last month

4 Jane won't be invited to his birthday party by him

I want to visit Da Nang, a beautiful city in central Viet Nam. It has many attractions like the Golden Bridge and Marble Mountains. It is famous for stunning beaches and fresh seafood. I like it because the atmosphere is very relaxing and the people are friendly.

Câu 1.

Tờ vé số có dạng \(\overline{a_1a_2a_3a_4a_5a_6}\in A=\left\{0;1;2;3;4;5;6;7;8;9\right\}\)

\(;a_i\ne a_j\)

Chọn \(a_1\ne0\) nên \(a_1\) có 9 cách chọn.

5 số còn lại là chỉnh hợp chập 5 của 8 số còn lại \(\in A\backslash\left\{a_1\right\}\)

\(\Rightarrow\)Có \(A_8^5\) cách.

Vậy có tất cả \(A_8^5\cdot9=60480\) vé số.

c

Bài 9:

a: Ta có: \(x^2-10x=-25\)

\(\Leftrightarrow x^2-10x+25=0\)

\(\Leftrightarrow x-5=0\)

hay x=5

b: ta có: \(4x^2-4x=-1\)

\(\Leftrightarrow4x^2-4x+1=0\)

\(\Leftrightarrow2x-1=0\)

hay \(x=\dfrac{1}{2}\)

c: Ta có: \(\left(2x-1\right)^2=\left(3x-2\right)^2\)

\(\Leftrightarrow\left(3x-2\right)^2-\left(2x-1\right)^2=0\)

\(\Leftrightarrow\left(3x-2-2x+1\right)\left(3x-2+2x-1\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(5x-3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{3}{5}\end{matrix}\right.\)

Bài 7a đề sai bạn nhé.

Bài 7a đề sai bạn nhé

Bài 8:

a: \(73^2-27^2=\left(73-27\right)\left(73+27\right)=4600\)

b: \(63^2-27^2+72^2-18^2\)

\(=\left(63-18\right)\left(63+18\right)+\left(72-27\right)\left(72+27\right)\)

\(=45\cdot\left(63+18+72+27\right)\)

\(=45\cdot180=8100\)

Hi Nam,

I want to tell you about Tet holiday in Vietnam. It is our Lunar New Year where families gather together. People decorate houses and enjoy special food like banh chung. I find it interesting because the atmosphere is joyful and I can receive lucky money.

Best, Dat

b: Ta có: \(\left(x+y\right)^2-x^2+4xy-4y^2\)

\(=\left(x+y\right)^2-\left(x-2y\right)^2\)

\(=\left(x+y-x+2y\right)\left(x+y+x-2y\right)\)

\(=3y\cdot\left(2x-y\right)\)

c: Ta có: \(\left(x+y\right)^3-\left(x-y\right)^3\)

\(=x^3+3x^2y+3xy^2+y^3-x^3+3x^2y-3xy^2+y^3\)

\(=2y^3+6x^2y\)

\(=2y\left(3x^2+y^2\right)\)