41.  I wish I lived in a bigger house as this one is small.

42. If there were no air, there would be no life on this planet.

43. The car driver has been said to be driving very fast at the time of the crash.

44. Despite his hard life, he studied well.

45. I met a woman whose husband is the president of that corporation.

a) \(\left(x+5\right)^2=36\)

\(\Rightarrow\left(x+5\right)^2=6^2\)

\(\Rightarrow\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=6-5\\x=-6-5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)

b) \(\left(2x-5\right)^3=64\)

\(\Rightarrow\left(2x-5\right)^3=4^3\)

\(\Rightarrow2x-5=4\)

\(\Rightarrow2x=4+5\)

\(\Rightarrow2x=9\)

\(\Rightarrow x=\dfrac{9}{2}\)

c) \(x^2=2\)

\(\Rightarrow x^2=\left(\sqrt{2}\right)^2\)

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

d) \(\left(3x-1\right)^2=5\)

\(\Rightarrow\left(3x-1\right)^2=\left(\sqrt{5}\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}3x-1=\sqrt{5}\\3x-1=-\sqrt{5}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}3x=1+\sqrt{5}\\3x=1-\sqrt{5}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1+\sqrt{5}}{3}\\x=\dfrac{1-\sqrt{5}}{3}\end{matrix}\right.\)

a: =>x+5=6 hoặc x+5=-6

=>x=-11 hoặc x=1

b: (2x-5)^3=64

=>(2x-5)^3=4^3

=>2x-5=4

=>2x=9

=>x=9/2

c: x^2=2

=>\(x^2=\left(\sqrt{2}\right)^2\)

=>\(x=\pm\sqrt{2}\)

d: (3x-1)^2=5

=>\(\left[{}\begin{matrix}3x-1=\sqrt{5}\\3x-1=-\sqrt{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=\sqrt{5}+1\\3x=-\sqrt{5}+1\end{matrix}\right.\)

=>\(x=\dfrac{\pm\sqrt{5}+1}{3}\)

tr

0,5

HT

0,5 nhé

Đáp án:

0,5

HT

Đâu

giúp gì

\(\overrightarrow{AB}=\left(1;1\right)\Rightarrow AB=\sqrt{2}\)

Từ C hạ CH vuông góc AB \(\Rightarrow S_{ABC}=\dfrac{1}{2}CH.AB\Rightarrow CH=\dfrac{2S_{ABC}}{AB}=\dfrac{3}{\sqrt{2}}\)

Từ G hạ GK vuông góc AB, gọi M là trung điểm AB

Theo định lý Talet: \(\dfrac{GK}{CH}=\dfrac{GM}{CM}=\dfrac{1}{3}\Rightarrow d\left(G;AB\right)=GK=\dfrac{CH}{3}=\dfrac{\sqrt{2}}{2}\)

Phương trình AB có dạng: 

\(1\left(x-2\right)-1\left(y+3\right)=0\Leftrightarrow x-y-5=0\)

G thuộc d nên tọa độ có dạng: \(G\left(a;3a-8\right)\)

\(d\left(G;AB\right)=\dfrac{\sqrt{2}}{2}=\dfrac{\left|a-\left(3a-8\right)-5\right|}{\sqrt{1^2+\left(-1\right)^2}}=\dfrac{\sqrt{2}}{2}\)

\(\Leftrightarrow\left|-2a+3\right|=1\Rightarrow\left[{}\begin{matrix}a=1\\a=2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}G\left(1;-5\right)\\G\left(2;-2\right)\end{matrix}\right.\)

\(\left\{{}\begin{matrix}x_C=3x_G-\left(x_A+x_B\right)=...\\y_C=3y_G-\left(y_A+y_B\right)=...\end{matrix}\right.\)

Gọi số đó là \(\overline{abcd}\)

TH1: \(a=2\)

- Nếu \(b=0\Rightarrow c\) có 4 cách chọn (3;4;5;6), d có 4 cách chọn

- Nếu \(b\ne0\Rightarrow b\) có 5 cách chọn, c có 5 cách, d có 4 cách

\(\Rightarrow4.4+5.5.4=116\) số

TH2: \(a>2\Rightarrow a\)  có 4 cách chọn

Bộ bcd có \(A_6^3=120\) cách

Tổng cộng có: 

\(116+4.120=596\) số

1. There are 4 people in Lan's family.

2. No, he isn't.

3. He works 5 days in a week.

4. Yes, she is.

5. Her brother is student.

1 There are four people in Lan's family.

2 No. He isn't.

3 He goes to work from Monday to Friday.

4. Yes. Her is.

5 He is a students.

a) 12 = 2².3

60 = 2².3.5

ƯCLN(12; 60) = 2².3 = 12

b) 24 = 2³.3

88 = 2³.11

ƯCLN(24; 88) = 2³ = 8

c) 96 = 2⁵.3

224 = 2⁵.7

ƯCLN(96; 224) = 2⁵ = 32

d) 34 = 2.17

96 = 2⁵.3

ƯCLN(34; 96) = 2

a) ước chung lớn nhất của 60 và 12 là : 12

b)  ước chung lớn nhất của 24 và 88 là: 8

c) mik ko bt !!

d) mik ko bt

2 câu  cuối mik ko bt bạn thông cảm nha. Chúc bạn học tốt