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10 tháng 2 2021

Cau 2

  1. TA CO :\(\frac{1}{A}\)+\(\frac{1}{B}\)+\(\frac{1}{c}\)=\(\frac{1}{2019}\)
  2. <=>\(\frac{1}{a}\)+\(\frac{1}{b}\)+\(\frac{1}{c}\)=\(\frac{1}{a+b+c}\)
  3. <=>(\(\frac{1}{a}\)+\(\frac{1}{b}\))+(\(\frac{1}{c}\)-\(\frac{1}{a+b+c}\)=0
  4. <=>\(\frac{a+b}{ab}\)+\(\frac{a+b}{c\left(a+b+c\right)}\)=0
  5. <=>(a+b)(\(\frac{1}{ab}\)+\(\frac{1}{c\left(a+b+c\right)}\))=0
  6. <=>\(\frac{\left(a+b\right)\left(b+c\right)\left(a+c\right)}{abc\left(a+b+c\right)}\)=0
  7. <=>\(\left(a+b\right)\left(b+c\right)\left(a+c\right)=0\)
  8.  
  9. gia su\(\left(a+b\right)=0\)=>c=2016 khi do
  10. \(\frac{a^{2019}+b^{2019}}{\left(ab\right)^{2019}}+\frac{1}{c^{2019}}=\frac{1}{c^{2019}}=\frac{1}{a^{2019}+b^{2019+c^{2019}}}\)
  11. cac truong hop kia tuong tu
  12.  
10 tháng 2 2021
  1. \(\left(a+b+c\right)^2=a^2+b^2+c^2\)
  2. <=>\(a^2+b^2+c^2+2\left(ab+bc+ac\right)=a^2+b^2+c^2\)
  3. ,=>\(2\left(ab+bc+ac\right)=0\)
  4. <=>\(ab+bc+ac=0\)
  5. <=>\(ab=-\left(bc+ac\right),bc=-\left(ab+ac\right),ac=-\left(ab+bc\right)\)
  6. voi \(ab=-\left(bc+ac\right)\)=>\(c^2+2ab=c^2+ab-bc-ac=\left(a-c\right)\left(b-c\right)\)
  7. tuong tu \(a^2+2bc=\left(a-c\right)\left(a-b\right)\)
  8.               \(b^2+2ac=-\left(b-c\right)\left(a-b\right)\)
  9. =>\(P=\frac{a^2}{\left(a-c\right)\left(a-b\right)}-\frac{b^2}{\left(b-c\right)\left(a-b\right)}+\frac{c^2}{\left(a-c\right)\left(b-c\right)}\)\(=\frac{a^2\left(b-c\right)-b^2\left(a-c\right)+c^2\left(a-b\right)}{\left(a-b\right)\left(a-c\right)\left(b-c\right)}=1\)
2 tháng 11 2021

Bn ơi!Nếu bài này có hình vẽ thì bn đăng luôn hình nha!

15 tháng 4 2021

11. 

\(tan\left(x-\pi\right)=-tan\left(\pi-x\right)=tanx\)

15 tháng 4 2021

12.

\(sinx+sin3x=2sin\dfrac{x+3x}{2}.cos\dfrac{x-3x}{2}=2sin2x.cos\left(-x\right)=2sin2x.cosx\)

a: Ta có: \(\sqrt{x+2}=3x-4\)

\(\Leftrightarrow9x^2-24x+16-x-2=0\)

\(\Leftrightarrow9x^2-25x+14=0\)

\(\text{Δ}=\left(-25\right)^2-4\cdot9\cdot14=121\)

Vì Δ>0 nên phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{25-11}{18}=\dfrac{7}{18}\left(loại\right)\\x_2=\dfrac{25+11}{18}=2\left(nhận\right)\end{matrix}\right.\)

7 tháng 10 2021

hình tam giác là gì vậy bạn?

2 tháng 12 2016

x : 3 dư 2

x : 5 dư 1

→ x + 4 chia hết cho 3 và 5

→ x + 4 € BC ( 3, 5 )

Ta có: 3 . 5 = 15

→ BC ( 3, 5 ) = B ( 15 ) = {0;15;30;45;...}

Dựa vào các điều kiện trên, ta kết luận: Vậy x € { 15;30 }

7 tháng 11 2018

Áp dụng công thức : a = bq + r , ta có

x : 4 = 16 dư 3

x = 16 . 4 + 3

x = 67

x : 5 = 22 dư 1

x = 22 . 5 + 1

x = 111

7 tháng 11 2018

x : 4 = 16 (dư 3)

      x =16 x 4 + 3

      x = 67.

x :5 = 22 (dư 1 )

    x = 22 x 5 +1

     x= 111

10 tháng 11 2021

Kẻ AH⊥BC

ta có: \(VP=AB^2+BC^2-2.AB.BC.cosB=AB^2+BC^2-2.AB.BC.\dfrac{BH}{AB}=AB^2+BC^2-2.BH.BC=AB^2-BH^2+BC^2-2.BH.BC+BH^2=AH^2+\left(BC-BH\right)^2=AH^2+CH^2=AC^2=VT\)

14 tháng 12 2022

\(m_{H_2O}=1,62\left(g\right)\Rightarrow n_{H_2O}=0,09\left(mol\right)\Rightarrow n_H=0,18\left(mol\right);m_H=0,18.1=0,18\left(g\right)\\ n_{CO_2}=\dfrac{2,64}{44}=0,06\left(mol\right)\Rightarrow n_C=n_{CO_2}=0,06\left(mol\right);m_C=0,06.12=0,72\left(g\right)\\ Vây:m_C+m_H=0,72+0,18=0,9< 1,38\\ \Rightarrow X.có.chứa.O\\ m_O=1,38-0,9=0,48\left(g\right);n_O=\dfrac{0,48}{16}=0,03\left(mol\right)\\ Đặt.X:C_aH_bO_c\left(a,b,c:nguyên,dương\right)\\ Ta.có:a:b:c=0,06:0,18:0,03=2:6:1\\ \Rightarrow CTĐG:C_2H_6O\\ M_X=23.2=46\left(\dfrac{g}{mol}\right)=M_{C_2H_6O}\\ \Rightarrow X:C_2H_6O\)

17 tháng 12 2023

a: |x|=5,6

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

c: \(\left|x\right|=3\dfrac{1}{5}\)

=>\(\left|x\right|=3,2\)

=>\(\left[{}\begin{matrix}x=3,2\\x=-3,2\end{matrix}\right.\)

d: |x|=-2,1

mà -2,1<0

nên \(x\in\varnothing\)

d: |x-3,5|=5

=>\(\left[{}\begin{matrix}x-3,5=5\\x-3,5=-5\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=8,5\\x=-1,5\end{matrix}\right.\)

e: \(\left|x+\dfrac{3}{4}\right|-\dfrac{1}{2}=0\)

=>\(\left|x+\dfrac{3}{4}\right|=\dfrac{1}{2}\)

=>\(\left[{}\begin{matrix}x+\dfrac{3}{4}=\dfrac{1}{2}\\x+\dfrac{3}{4}=-\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{4}\\x=-\dfrac{5}{4}\end{matrix}\right.\)

f: \(\left|4x\right|-\left|-13,5\right|=\left|2\dfrac{1}{4}\right|\)

=>\(4\left|x\right|=2,25+13,5=15,75\)

=>\(\left|x\right|=\dfrac{63}{16}\)

=>\(x=\pm\dfrac{63}{16}\)

g: \(\dfrac{5}{6}-\left|2-x\right|=\dfrac{1}{3}\)

=>\(\dfrac{5}{6}-\left|x-2\right|=\dfrac{1}{3}\)

=>\(\left|x-2\right|=\dfrac{5}{6}-\dfrac{1}{3}=\dfrac{1}{2}\)

=>\(\left[{}\begin{matrix}x-2=\dfrac{1}{2}\\x-2=-\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=\dfrac{3}{2}\end{matrix}\right.\)

h: \(\left|x-\dfrac{2}{5}\right|+\dfrac{1}{2}=\dfrac{3}{4}\)

=>\(\left|x-\dfrac{2}{5}\right|=\dfrac{3}{4}-\dfrac{1}{2}=\dfrac{1}{4}\)

=>\(\left[{}\begin{matrix}x-\dfrac{2}{5}=\dfrac{1}{4}\\x-\dfrac{2}{5}=-\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}+\dfrac{2}{5}=\dfrac{13}{20}\\x=-\dfrac{1}{4}+\dfrac{2}{5}=\dfrac{-5+8}{20}=\dfrac{3}{20}\end{matrix}\right.\)

i: \(\left|5-3x\right|+\dfrac{2}{3}=\dfrac{1}{6}\)

=>\(\left|3x-5\right|=\dfrac{1}{6}-\dfrac{2}{3}=\dfrac{1}{6}-\dfrac{4}{6}=-\dfrac{3}{6}=-\dfrac{1}{2}< 0\)

=>\(x\in\varnothing\)

k: \(-2,5+\left|3x+5\right|=-1,5\)

=>|3x+5|=-1,5+2,5=1

=>\(\left[{}\begin{matrix}3x+5=1\\3x+5=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=-4\\3x=-6\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=-2\end{matrix}\right.\)

m: \(\dfrac{1}{5}-\left|\dfrac{1}{5}-x\right|=\dfrac{1}{5}\)

=>\(\left|\dfrac{1}{5}-x\right|=\dfrac{1}{5}-\dfrac{1}{5}=0\)

=>\(\dfrac{1}{5}-x=0\)

=>\(x=\dfrac{1}{5}\)

n: \(-\dfrac{22}{15}x+\dfrac{1}{3}=\left|-\dfrac{2}{3}+\dfrac{1}{5}\right|\)

=>\(-\dfrac{22}{15}x+\dfrac{1}{3}=\dfrac{2}{3}-\dfrac{1}{5}\)

=>\(-\dfrac{22}{15}x=\dfrac{1}{3}-\dfrac{1}{5}=\dfrac{2}{15}\)

=>-22x=2

=>\(x=-\dfrac{1}{11}\)

17 tháng 12 2023

em cảm ơn ạ

18 tháng 8 2021

1 have got nothing in common

2 put up with his rude

3 everything except the

4 on the verge of speeding 

5 has not changed since

6 the moment we arrive

7 set his heart to become

8 is on the tip of my tongue

9 She was caught to smoke in the bathroom

10 He congratulated them on winning the race

11 had arrived on time

12 looking forward to using

13 prevented the visitors from being

14 could have broken into

15 has a extreme command of 

16 expressed their disapproval of 

Bài 2:

a: Ta có: \(M=2x\left(2x^3-3x\right)-x^2\left(3x^2-2\right)-x^2\left(x^2-4\right)\)

\(=4x^4-6x^2-3x^4+2x^2-x^4+4x^2\)

=0

b: Ta có: \(N=x\left(y^2-x\right)-y\left(xy-x^2\right)-x\left(xy-x-1\right)\)

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

\(=x\)