Giúp em bài 9 ạ :(
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 10:
a: \(\overrightarrow{AB}+\overrightarrow{BO}+\overrightarrow{OA}\)
\(=\overrightarrow{AO}+\overrightarrow{OA}=\overrightarrow{0}\)
b: \(\overrightarrow{OA}+\overrightarrow{BC}+\overrightarrow{DO}+\overrightarrow{CD}\)
\(=\overrightarrow{OA}+\overrightarrow{DO}+\overrightarrow{BD}\)
\(=\overrightarrow{OA}+\overrightarrow{BO}=\overrightarrow{BA}\)
b: \(BC=\sqrt{89}\left(cm\right)\)
\(\sin\widehat{B}=\dfrac{5\sqrt{89}}{89}\)
\(\Leftrightarrow\widehat{B}\simeq32^0\)
\(\widehat{C}=58^0\)
Bài 8:
a: Ta có: \(M=\dfrac{2\sqrt{x}-9}{x-5\sqrt{x}+6}-\dfrac{\sqrt{x}+3}{\sqrt{x}-2}+\dfrac{2\sqrt{x}+1}{\sqrt{x}-3}\)
\(=\dfrac{2\sqrt{x}-9-x+9+2x-4\sqrt{x}+\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)
b: Thay \(x=11-6\sqrt{2}\) vào M, ta được:
\(M=\dfrac{3-\sqrt{2}+1}{3-\sqrt{2}-3}=\dfrac{4-\sqrt{2}}{-\sqrt{2}}=-2\sqrt{2}+1\)
Bài 8:
a) \(M=\dfrac{2\sqrt{x}-9-\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)+\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)
\(=\dfrac{2\sqrt{x}-9-x+9+2x-3\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{x-\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)
b) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=\dfrac{\sqrt{11-6\sqrt{2}}+1}{\sqrt{11-6\sqrt{2}}-3}=\dfrac{\sqrt{\left(3-\sqrt{2}\right)^2}+1}{\sqrt{\left(3-\sqrt{2}\right)^2}-3}=\dfrac{4-\sqrt{2}}{-\sqrt{2}}=1-2\sqrt{2}\)
c) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=3\)
\(\Leftrightarrow3\sqrt{x}-9=\sqrt{x}+1\Leftrightarrow2\sqrt{x}=10\Leftrightarrow\sqrt{x}=5\Leftrightarrow x=25\left(tm\right)\)
d) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}< 1\)
\(\Leftrightarrow\sqrt{x}+1< \sqrt{x}-3\Leftrightarrow1< -3\left(VLý\right)\)
Vậy \(S=\varnothing\)
e) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=1+\dfrac{4}{\sqrt{x}-3}\in Z\)
\(\Rightarrow\sqrt{x}-3\inƯ\left(4\right)=\left\{-4;-2;-1;1;2;4\right\}\)
Kết hợp đk:
\(\Rightarrow x\in\left\{1;16;25;49\right\}\)
refer
1. like/dinner/house/would/have/tonight/you/to/my/at/?
Would you like to have dinner at my house tonight?
2.detective/parents/going/movie/this afternoon/we/see/with/are/a/our/to/.
We are going to see a detective movies with our parents this afternoon.
3.watching/prefers/to/brother/books/TV/my/reading.
My brother prefers watching TV and reading to books.
4.daughter / best/kinds/does /like/what/TV program/your /of/?
What kind of program does your daughter like best?
5. showing/local cinema/is/horror film / the/a/there/next week/at.
There is horror film showing at that local cinema next week.
6.durians /and/my/ like/much/does/I/very/father/so
I like durians very much so does my father.
7.went/she/stomachache/the doctor's/ an/Lan/because/awful to/ had.
Lan's went to the doctor's because she had an awful stomache.
8.have/the/farm/often/them/vegatables/from/dirt/on.
Vegetables from the farm of ten have dirt on time.
9.in/work/will/do/all/ the/machines/for/the/future/us.
In the future, machines will do all the work for us.
10.it/hours/about/two/Hoa Binh/to takes /by /get/to/couch.
It 's take us about to hours to get to Hoa Binh by couch.
1 Would you like to have dinner at my house tonight?
2 We are going to see a detective movie with our parents this afternoon
3 My brother prefers watching TV to reading books
4 What kinds of TV program does your daughter like best?
5 There is a horror film showing at the local cinema next week
7 I like durians very much and so does my father
8 Vegetables often have dirt from the farm on them
9 Machines will do all the work for us in the future
10 It's takes about 2 hours to get to HoaBinh by coach
Bài 10:
a) Ta có: \(\left(x+\dfrac{1}{5}\right)^2=9\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=3\\x+\dfrac{1}{5}=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{14}{5}\\x=\dfrac{-16}{5}\end{matrix}\right.\)
b) Ta có: \(\dfrac{22}{9}-\left(x+\dfrac{1}{2}\right)^2=\dfrac{7}{3}\)
\(\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\dfrac{22}{9}-\dfrac{7}{3}=\dfrac{1}{9}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=\dfrac{1}{3}\\x+\dfrac{1}{2}=-\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{6}\\x=\dfrac{-5}{6}\end{matrix}\right.\)
câu 5:
x=3,6
y=6,4
câu 6: chụp lại đề
câu 7:
a)ĐKXĐ: \(x\ge0\)
\(3\sqrt{x}=\sqrt{12}\\ \Rightarrow9x=12\\ \Rightarrow x=\dfrac{4}{3}\)
b) ĐKXĐ: \(x\ge6\)
\(\sqrt{x-6}=3\\ \Rightarrow x-6=9\\ \Rightarrow x=15\)
Bài 8:
a) \(A=\dfrac{\sqrt{a}-1}{\sqrt{a}}.\dfrac{\sqrt{a}+1+\sqrt{a}-1}{\left(\sqrt{a}-1\right)\left(\sqrt{a}+1\right)}=\dfrac{2\sqrt{a}}{\sqrt{a}\left(\sqrt{a}+1\right)}=\dfrac{2}{\sqrt{a}+1}\)
b) \(A=\dfrac{2}{\sqrt{a}+1}=\dfrac{2}{\sqrt{3-2\sqrt{2}}+1}=\dfrac{2}{\sqrt{\left(\sqrt{2}-1\right)^2}+1}=\dfrac{2}{\sqrt{2}-1+1}=\dfrac{2}{\sqrt{2}}=\sqrt{2}\)
Bài 9:
\(pt\Leftrightarrow\sqrt{\left(3x+1\right)^2}=2\)\(\Leftrightarrow\left|3x+1\right|=2\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+1=2\\3x+1=-2\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}3x=1\\3x=-3\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=-1\end{matrix}\right.\)