giúp vs đang cần gấp
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MA
2
23 tháng 12 2021
g: \(=\dfrac{x^2+2x-x^2-4x-2x+4}{x\left(x-2\right)\left(x+2\right)}=\dfrac{-4x+4}{x\left(x-2\right)\left(x+2\right)}\)
h: \(=\dfrac{2x^2+1-x^2+1-x^2+x-1}{\left(x+1\right)\left(x^2-x+1\right)}\)
\(=\dfrac{x+1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{1}{x^2-x+1}\)
23 tháng 12 2021
\(e,=\dfrac{1}{x-1}-\dfrac{2x}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{x^2-2x+1}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{\left(x-1\right)^2}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{x-1}{x^2+1}\\ f,=\dfrac{3x-1}{2\left(3x+1\right)}+\dfrac{3x+1}{2\left(3x-1\right)}-\dfrac{6x}{\left(3x-1\right)\left(3x+1\right)}\\ =\dfrac{9x^2-6x+1+9x^2+6x+1-12x}{2\left(3x-1\right)\left(3x+1\right)}=\dfrac{2\left(3x-1\right)^2}{2\left(3x-1\right)\left(3x+1\right)}=\dfrac{3x-1}{3x+1}\)
\(g,=\dfrac{x}{x\left(x-2\right)}-\dfrac{x^2+4x}{x\left(x-2\right)\left(x+2\right)}-\dfrac{2}{x\left(x+2\right)}\\ =\dfrac{x^2+2x-x^2-4x-2x+4}{x\left(x-2\right)\left(x+2\right)}=\dfrac{-4x+4}{x\left(x-2\right)\left(x+2\right)}\\ h,=\dfrac{2x^2+1-x^2+1-x^2+x-1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{x+1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{1}{x^2-x+1}\)
TN
1
10 tháng 1 2022
a/ Tam giác AMN cân tại A (gt). \(\Rightarrow\) \(\widehat{AMN}=\widehat{ANM};AM=AN.\)
Xét tam giác AMB và tam giác ANC có:
+ AM = AN (cmt).
+ \(\widehat{AMB}=\widehat{ANC}\left(\widehat{AMN}=\widehat{ANM}\right).\)
+ MB = NC (gt).
\(\Rightarrow\) Tam giác AMB = Tam giác ANC (c - g - c).
\(\Rightarrow\) AB = AC (cặp cạnh tương ứng).
Xét tam giác ABC có: AB = AC (cmt).
\(\Rightarrow\) Tam giác ABC cân tại A.
b/ Tam giác ABC cân tại A (cmt) \(\Rightarrow\) \(\widehat{ABC}=\widehat{ACB}.\)
Mà \(\widehat{ABC}=\widehat{MBH;}\widehat{ACB}=\widehat{NCK}\text{}\) (đối đỉnh).
\(\Rightarrow\) \(\widehat{MBH}=\widehat{NCK}.\)
Xét tam giác MBH và tam giác NCK \(\left(\widehat{BHM}=\widehat{CKN}=90^o\right)\)có:
+ MB = NC (gt).
+ \(\widehat{MBH}=\widehat{NCK}\left(cmt\right).\)
\(\Rightarrow\) Tam giác MBH = Tam giác NCK (cạnh huyền - góc nhọn).
c/ Tam giác MBH = Tam giác NCK (cmt).
\(\Rightarrow\) \(\widehat{BMH}=\widehat{CNK}\) (cặp góc tương ứng).
Xét tam giác OMN có: \(\widehat{NMO}=\widehat{MNO}\) (do \(\widehat{BMH}=\widehat{CNK}\)).
\(\Rightarrow\) Tam giác OMN tại O.
29 tháng 12 2021
5: \(=\dfrac{1}{2}\cdot10-\dfrac{1}{2}=\dfrac{1}{2}\cdot9=\dfrac{9}{2}\)
GL
0
giúp mik vs đang cần gấp
2 tháng 3 2022
\(1)15-3x=0.\\ \Leftrightarrow3x=15.\\ \Leftrightarrow x=5.\)
\(2)4x+12=2x\left(x+3\right).\\ \Leftrightarrow4\left(x+3\right)-2x\left(x+3\right)=0.\\ \Leftrightarrow\left(4-2x\right)\left(x+3\right)=0.\)
\(\Leftrightarrow\left[{}\begin{matrix}4-2x=0.\\x+3=0.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2.\\x=-3.\end{matrix}\right.\)
\(3)\dfrac{1}{x-1}+\dfrac{2x^2-5}{x^3-1}=\dfrac{4}{x^2+x+1}.\left(x\ne1\right).\\ \Leftrightarrow\dfrac{x^2+x+1+2x^2-5-4x+4}{\left(x-1\right)\left(x^2+x+1\right)}=0.\\ \Rightarrow3x^2-3x=0.\\ \Leftrightarrow3x\left(x-1\right)=0.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\left(TM\right).\\x=1\left(koTM\right).\end{matrix}\right.\)
LT
9 tháng 2 2021
Exercise 1:
1. will give
2. would type
3. would have visited
4. attended
5. knew
6. had arrived
7. wouldn't make
8. were
9. find
10. were
Exercise 2:
1. If you don't keep silent, you'll wake the baby up.
2. If you stop talking, you will understand the lesson.
3. If I knew her number, I would ring her up.
4. If I knew the answer, I could tell you.
5. If we had had a map, we wouldn't have got lost.
6. If Susan hadn't eaten four cream cakes, she wouldn't have felt sick.
7. If you hadn't been for this treatment, the patient would have died.
8. If he hadn't been late everyday, he wouldn't have lost his job.
9. If Peter didn't eat so many chips, he wouldn't be fat.
10. If Robert hadn't started smoking cigarettes, he wouldn't have got a bad cough.
LT
9 tháng 2 2021
Exercise 3:
1. Unless you like this one, I'll bring you another.
2. Unless she hurries, she'll be late.
3. Unless you are careful, you'll cut yourshelf.
4. Unless you had sneezed, he wouldn't have known that we were there.
Exercise 4:
1. D
2. B
3. C
4. B
5. C
30. c
1. c
2. b
3. d
4. b
5. a
6. c
Exercise 5:
7. If he didn't have to study for exam, he could go out.
8. If she weren't lazy, she could pass the exam.
9. If he pays me tonight, I will have enough money to buy a car.
10. If he didn't smoke too much, he could get rid of his cough.
11. If she weren't very shy, she would enjoy the party.
12. If I get a work permit I will stay for another month.
13. If he were so healthy, he would take some exercises.
14. If I had the right change, we could get the ticket.
15. If you don't study hard, you will pass the exam.
16. If you are impatient, you will make mistakes.
17. If I had eaten lunch, I wouldn't feel hungry now.
18. Unless they invite me, I won't come.
19. If he had revised all his lessons, he wouldn't have failed the exam.
20. If you walk to the park, it will take you 5 minutes.
21. Unless you leave me alone, I'll call the police.
postponed
is
will die
rains
doesn't hurry
don't finish
lied
was repaired
changing
doesn't started
pollute
will be
are
littered