Giúp e vs ạ e đg cần gấp e cảm ơn
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\Rightarrow\left|\dfrac{3}{4}+x\right|=0\Rightarrow\dfrac{3}{4}+x=0\Rightarrow x=-\dfrac{3}{4}\)
b) \(\Rightarrow x+0,4=\dfrac{4}{9}:\dfrac{2}{3}=\dfrac{2}{3}\Rightarrow x=\dfrac{2}{3}-0,4=\dfrac{4}{15}\)
\(\left(3\sqrt{7}\right)^2=63>28=\left(\sqrt{28}\right)^2\) hoặc \(3\sqrt{7}>2\sqrt{7}=\sqrt{28}\)
1.Yes, they do
2..Yes, it is
3.People buy fruits and flowers from the market and decorate their house
4.People visit their family and friends
a) \(\Leftrightarrow x^2=\sqrt{4}\)
\(\Leftrightarrow x^2=2\Leftrightarrow x=\pm2\)
b) \(\Leftrightarrow\sqrt{\left(\dfrac{1}{2}x+1\right)^2}=9\)
\(\Leftrightarrow\left|\dfrac{1}{2}x+1\right|=9\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}x+1=9\\\dfrac{1}{2}x+1=-9\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=16\\x=-16\end{matrix}\right.\)
c) \(\Leftrightarrow\sqrt{2x}-4\sqrt{2x}+16\sqrt{2x}=52\left(đk:x\ge0\right)\)
\(\Leftrightarrow13\sqrt{2x}=52\Leftrightarrow\sqrt{2x}=4\Leftrightarrow2x=16\Leftrightarrow x=8\left(tm\right)\)
f: Ta có: \(\sqrt{\dfrac{50-25x}{4}}-8\sqrt{2-x}+\sqrt{18-9x}=-10\)
\(\Leftrightarrow\sqrt{2-x}\cdot\dfrac{5}{2}-8\sqrt{2-x}+3\sqrt{2-x}=-10\)
\(\Leftrightarrow\sqrt{2-x}=4\)
\(\Leftrightarrow2-x=16\)
hay x=-14








a: Ta có: \(\overrightarrow{PA}+2\cdot\overrightarrow{PB}=\overrightarrow{0}\)
=>\(\overrightarrow{PA}=-2\cdot\overrightarrow{PB}\)
=>P nằm giữa A và B sao cho AP=2PB
AP+PB=AB
=>AB=2PB+PB=3BP
=>\(BP=\frac13BA;AP=\frac23AB\)
Ta có: \(5\cdot\overrightarrow{AQ}-2\cdot\overrightarrow{AC}=\overrightarrow{0}\)
=>\(5\cdot\overrightarrow{AQ}=2\cdot\overrightarrow{AC}\)
=>\(\overrightarrow{AQ}=\frac25\cdot\overrightarrow{AC}\)
Ta có: \(\overrightarrow{PQ}=\overrightarrow{PA}+\overrightarrow{AQ}\)
\(=-\frac23\cdot\overrightarrow{AB}+\frac25\cdot\overrightarrow{AC}=-2\left(\frac13\cdot\overrightarrow{AB}-\frac15\cdot\overrightarrow{AC}\right)\)
\(=-\frac{2}{15}\left(5\cdot\overrightarrow{AB}-3\cdot\overrightarrow{AC}\right)\) (1)
b: Xét ΔABC có AM là đường trung tuyến
nên \(\overrightarrow{AM}=\frac12\left(\overrightarrow{AB}+\overrightarrow{AC}\right)\)
=>\(\overrightarrow{AI}=\frac12\cdot\overrightarrow{AM}=\frac14\cdot\left(\overrightarrow{AB}+\overrightarrow{AC}\right)\)
\(\overrightarrow{PI}=\overrightarrow{PA}+\overrightarrow{AI}\)
\(=-\frac23\cdot\overrightarrow{AB}+\frac14\left(\overrightarrow{AB}+\overrightarrow{AC}\right)=-\frac23\cdot\overrightarrow{AB}+\frac14\cdot\overrightarrow{AB}+\frac14\cdot\overrightarrow{AC}\)
\(=\frac{-5}{12}\cdot\overrightarrow{AB}+\frac{3}{12}\cdot\overrightarrow{AC}=-\frac{1}{12}\left(5\cdot\overrightarrow{AB}-3\cdot\overrightarrow{AC}\right)\) (2)
Từ (1),(2) suy ra \(\frac{\overrightarrow{PI}}{\overrightarrow{PQ}}=\frac{-1}{12}:\frac{-2}{15}=\frac{1}{12}\cdot\frac{15}{2}=\frac{15}{24}=\frac58\)
=>P,I,Q thẳng hàng