Giúp mình với câu này khó quá:1+1=....?
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\(8x-16=44-4x\Leftrightarrow12x=60\Leftrightarrow x=5\)
\(-\dfrac{1}{24}\le\dfrac{x}{24}\le\dfrac{5}{24}\Leftrightarrow-1\le x\le5\)
\(x\in\left\{-1;0;1;2;3;4;5\right\}\)
\(\left(\sqrt{5-2\sqrt{6}}+\sqrt{2}\right)\cdot\dfrac{1}{\sqrt{3}}\)
\(=\sqrt{3}\cdot\dfrac{1}{\sqrt{3}}\)
=1
15.
\(\Delta'=m^2+m-2>0\Leftrightarrow\left[{}\begin{matrix}m>1\\m< -2\end{matrix}\right.\)
Đáp án B
16.
\(\dfrac{\pi}{2}< a< \pi\Rightarrow\dfrac{\pi}{4}< \dfrac{a}{2}< \dfrac{\pi}{2}\Rightarrow\dfrac{\sqrt{2}}{2}< sin\dfrac{a}{2}< 1\Rightarrow\dfrac{1}{2}< sin^2\dfrac{a}{2}< 1\)
\(sina=\dfrac{3}{5}\Leftrightarrow sin^2a=\dfrac{9}{25}\Leftrightarrow4sin^2\dfrac{a}{2}.cos^2\dfrac{a}{2}=\dfrac{9}{25}\)
\(\Leftrightarrow sin^2\dfrac{a}{2}\left(1-sin^2\dfrac{a}{2}\right)=\dfrac{9}{100}\Leftrightarrow sin^4\dfrac{a}{2}-sin^2\dfrac{a}{2}+\dfrac{9}{100}=0\)
\(\Rightarrow\left[{}\begin{matrix}sin^2\dfrac{a}{2}=\dfrac{1}{10}< \dfrac{1}{2}\left(loại\right)\\sin^2\dfrac{a}{2}=\dfrac{9}{10}\end{matrix}\right.\)
\(\Rightarrow sin\dfrac{a}{2}=\dfrac{3\sqrt{10}}{10}\)
17.
Áp dụng công thức trung tuyến:
\(AM=\dfrac{\sqrt{2\left(AB^2+AC^2\right)-BC^2}}{2}=\dfrac{\sqrt{201}}{2}\)
18.
\(\Leftrightarrow x^2+2x+4>m^2+2m\) ; \(\forall x\in\left[-2;1\right]\)
\(\Leftrightarrow m^2+2m< \min\limits_{\left[-2;1\right]}\left(x^2+2x+4\right)\)
Xét \(f\left(x\right)=x^2+2x+4\) trên \(\left[-2;1\right]\)
\(-\dfrac{b}{2a}=-1\in\left[-2;1\right]\) ; \(f\left(-2\right)=4\) ; \(f\left(-1\right)=3\) ; \(f\left(1\right)=7\)
\(\Rightarrow\min\limits_{\left[-2;1\right]}\left(x^2+2x+4\right)=f\left(1\right)=3\)
\(\Rightarrow m^2+2m< 3\Leftrightarrow m^2+2m-3< 0\)
\(\Rightarrow-3< m< 1\Rightarrow m=\left\{-2;-1;0\right\}\)
Đáp án C
Gọi số mol Na, K là a, b
=> 23a + 39b = 8,5
\(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
PTHH: 2Na + 2H2O --> 2NaOH +H2
______a--------------------------->0,5a
2K + 2H2O --> 2KOH + H2
b------------------------->0,5b
=> 0,5a + 0,5b = 0,15
=> a = 0,2; b = 0,1
=> \(\left\{{}\begin{matrix}\%Na=\dfrac{0,2.23}{8,5}.100\%=54,12\%\\\%K=\dfrac{0,1.39}{8,5}.100\%=45,88\%\end{matrix}\right.\)
Đặt vế trái phương trình là A
\(3A=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{x\left(x+3\right)}\)
\(3A=\frac{4-1}{1.4}+\frac{7-4}{4.7}+\frac{10-7}{7.10}+\frac{\left(x+3\right)-x}{x\left(x+3\right)}\)
\(3A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{x}-\frac{1}{x+3}\)
\(3A=1-\frac{1}{x+3}=\frac{x+2}{x+3}\Rightarrow A=\frac{x+2}{3\left(x+3\right)}\)
\(\Rightarrow\frac{x+2}{3\left(x+3\right)}=\frac{667}{2002}\Rightarrow2002\left(x+2\right)=3.667.\left(x+3\right)\)
\(\Leftrightarrow2002x+4004=2001x+6003\Leftrightarrow x=1999\)
Ta có: x - 2/4 = 5 + x/3
x = (5 + x/3) + 2/4
x= x
x là: 5 - 3 = 2 ; 4 - 2 = 2
Vậy x là 2.
Không chắc đâu nha!
x - 2/4 = 5 + x/3
=> x - 2/4 = 5 + x.1/3
=> x - x.1/3 = 5 + 2/4
=> x.(1-1/3) = 11/2
=> 2/3.x = 11/2
=> x= 11/2 : 2/3
=> x = 33/4
\(\left(\frac{90}{100}-x\right)=\frac{2}{3}\cdot\frac{1}{2}\)
\(\frac{9}{10}-x=\frac{1}{3}\)
\(x=\frac{9}{10}-\frac{1}{3}\)
\(x=\frac{27}{30}-\frac{10}{30}\)
\(x=\frac{17}{30}\)
Làm bài mình vừa hỏi bạn Alice Bản Quyền ơi, giúp mình với
bôc phét
1 + 1 = 2