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Giải:
a) Có: \(0,\left(37\right)=0,373737373737...\)
\(0,\left(62\right)=0,626262626262...\)
\(\Leftrightarrow0,\left(37\right)+0,\left(62\right)=0,99999999999...\)
Mà \(0,9999999999999...\simeq1\)
Hay \(0,\left(9\right)=1\)
Vậy \(0,\left(37\right)+0,\left(62\right)=1\).
b) \(0,\left(33\right).3=0,99999...=0,\left(9\right)=1\)
Vậy \(0,\left(33\right).3=1\).
Chúc bạn học tốt!!!
\(a)0,\left(37\right)=0,37373737....\)
\(0,\left(62\right)=0,62626262....\)\(\Leftrightarrow0,\left(37\right)+0,\left(62\right)=0,99999999....\)
Mà \(0,99999999....\simeq1\)
hoặc \(0,\left(9\right)\simeq1\)
\(\Rightarrow0,\left(37\right)+\left(0,62\right)=1\)
\(b)0,\left(33\right).3=1\)
\(\Leftrightarrow0,99999999....=0,\left(9\right)\simeq1\)
\(\Rightarrow0,\left(33\right).3=1\)
Chúc bạn học tốt!
Ta có hình vẽ:
x x' O y y' \(\widehat{xOy}+\widehat{yOx'}+\widehat{x'Oy'}=297^o\)
\(\widehat{xOy}\) và \(\widehat{x'Oy'}\) đối đỉnh \(\Rightarrow\widehat{xOy}=\widehat{x'Oy'}\)
\(\widehat{x'Oy}\) và \(\widehat{x'Oy'}\) kề bù nên:
\(\widehat{x'Oy'}+\widehat{x'Oy}=180^o\)
\(\Rightarrow\widehat{xOy}+180^0=297^o\)
\(\Rightarrow\widehat{xOy}=117^o\)
\(\widehat{xOy}=\widehat{x'Oy'}=117^o\)
\(\Rightarrow\widehat{x'Oy}=297^o-117^o-177^o=3^o\)
\(\widehat{x'Oy}\) đối đỉnh với \(\widehat{xOy'}\) nên
\(\widehat{x'Oy}=\widehat{xOy'}=3^o\)
Vậy...
Ta có :
\(\left(x-10\right)^{x+1}-\left(x-10\right)^{x+11}=0\)
\(\Leftrightarrow\left(x-10\right)^{x+1}\left[1-\left(x-10\right)^{10}\right]=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x-10=0\\1-\left(x-10\right)^{10}=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=10\\\left[\begin{array}{nghiempt}x-10=1\\x-10=-1\end{array}\right.\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=10\\\left[\begin{array}{nghiempt}x=11\\x=9\end{array}\right.\end{array}\right.\)
Vậy x = 10 ; x = 11 ; x = 9
\(\left(x-10\right)^{x+1}-\left(x-10\right)^{x+11}=0\)
\(\Rightarrow\left(x-10\right)^{x+1}.\left[1-\left(x-10\right)^{10}\right]=0\)
\(\Rightarrow\left(x-10\right)^{x+1}=0\) hoặc \(1-\left(x-10\right)^{10}=0\)
+) \(\left(x-10\right)^{x+1}=0\)
\(\Rightarrow x-10=0\)
\(\Rightarrow x=10\)
+) \(1-\left(x-10\right)^{10}=0\)
\(\Rightarrow\left(x-10\right)^{10}=1\)
\(\Rightarrow x-10=\pm1\)
+ \(x-10=1\Rightarrow x=11\)
+ \(x-10=-1\Rightarrow x=9\)
Vậy \(x\in\left\{10;11;9\right\}\)
\(3x^2y^4\)-\(5xy^3\)-\(\dfrac{3}{2}x^2y^4\)+\(3xy^3\)+\(2xy^3\)+1=1,5\(x^2y^4\)+1>0
!!!!!!!!!
mk ko chép đề mà tách luôn nha
M = x2x2 + x2x2 + x2y2 + x2y2 + x2y2 + y2y2 + y2
= ( x2x2 + x2y2 ) + ( x2x2 + x2y2 ) + ( x2y2 + y2y2 ) + y2
= x2( x2 + y2 ) + x2( x2 + y2 ) + y2( x2 + y2 ) + y2
= ( x2 + y2 ) (x2 + x2 + y2 ) + y2
= 1( x2 + 1) + y2
= x2 + y2 +1 = 2
\(A=\dfrac{4^2}{1.3}+\dfrac{4^2}{3.5}+\dfrac{4^2}{5.8}+...+\dfrac{4^2}{45.47}.\dfrac{1-3-5-...-49}{8}\)
\(A=4\left(\dfrac{4}{1.3}+\dfrac{4}{3.5}+\dfrac{4}{5.8}+...+\dfrac{4}{45.47}\right).\dfrac{1-3-5-...-49}{8}\)\(A=4\left[2\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+...+\dfrac{1}{45}-\dfrac{1}{47}\right)\right].\dfrac{1-3-5-...-49}{8}\)\(A=8\left(1-\dfrac{1}{47}\right).\dfrac{1-3-5-...-49}{8}\)
\(A=8\left(1-\dfrac{1}{47}\right).\dfrac{-623}{8}\)
\(A=\dfrac{368}{47}.\dfrac{-623}{8}=\dfrac{-28658}{47}\)
g(x) = x14 - 13x13 + 13x12 - 13x11 + ... + 13x2 - 13x + 15
= x14 - (12 + 1)x13 + (12 + 1)x12 - (12 + 1)x11 + ... + (12 + 1)x2 - (12 + 1)x + 15
Tại x = 12 thì ta có:
g(12) = x14 - (x + 1)x13 + (x + 1)x12 - (x + 1)x11 + ... + (x + 1)x2 - (x + 1)x + 15
= x14 - x14 - x13 + x13 + x12 - x12 - x11 + ... + x3 + x2 - x2 - x + 15
= -x + 15
Thay x = 12, ta có:
g(12) = -12 + 15 = 3
Vậy g(12) = 3
hơi khó hiểu nên có j thì cứ hỏi mik nhé!