mn ơi làm hộ mình bài 5 với,ai làm nhanh nhất mình tim cho(mình cần gấp:<) :
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\(\left(2x+3\right)^3=\left(-25\right).\left(-5\right)\)
\(\Leftrightarrow\left(2x+3\right)^3=125\)
\(\Leftrightarrow\left(2x+3\right)^3=5^3\)
\(\Leftrightarrow2x+3=5\)
\(\Leftrightarrow2x=2\)
\(\Leftrightarrow x=1\)
\(\Leftrightarrow x\left(y+1\right)+y+1=31\\ \Leftrightarrow\left(x+1\right)\left(y+1\right)=31=31\cdot1\)
\(TH_1:\left\{{}\begin{matrix}x+1=31\\y+1=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=30\\y=0\end{matrix}\right.\rightarrow\left(30;0\right)\\ TH_2:\left\{{}\begin{matrix}x+1=1\\y+1=31\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\y=30\end{matrix}\right.\rightarrow\left(0;30\right)\)
Vậy \(\left(x;y\right)\in\left\{\left(30;0\right);\left(0;30\right)\right\}\)
\(\Leftrightarrow xy+x+y+1=31\Leftrightarrow\left(x+1\right)\left(y+1\right)=31\)
Do x, y nguyên dương nên xảy ra các TH sau:
TH1: \(\left\{{}\begin{matrix}x+1=1\\y+1=31\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\y=30\end{matrix}\right.\)(LOẠI)
TH2:\(\left\{{}\begin{matrix}x+1=31\\y+1=1\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=30\\y=0\end{matrix}\right.\)(LOẠI)
Vậy không có x, y nguyên dương thoả mãn đề bài.
\(a,\dfrac{x}{3}=\dfrac{6}{-9}\\ \Rightarrow x=-\dfrac{2}{3}.3\\ \Rightarrow x=-2\\ b,\dfrac{4}{y}=\dfrac{-2}{-5}\\ \Rightarrow y=4:\dfrac{2}{5}\\ \Rightarrow y=10\\ c,\dfrac{-2}{3}=\dfrac{x-1}{6}\\ \Rightarrow3x-3=-12\\ \Rightarrow3x=-9\\ \Rightarrow x=-3\\ d,\dfrac{3}{x}=\dfrac{6}{-24}\\ \Rightarrow x=3:-\dfrac{1}{4}\\ \Rightarrow x=-12\)
\(a,\dfrac{3}{4}=\dfrac{15}{20}\\ \dfrac{7}{10}=\dfrac{14}{20}\\ b,\dfrac{-5}{14}=\dfrac{-55}{154}\\ \dfrac{9}{22}=\dfrac{63}{154}\\ \dfrac{-4}{7}=\dfrac{-36}{63}\\ \dfrac{8}{9}=\dfrac{56}{63}\\ \dfrac{-10}{21}=\dfrac{-30}{63}\)
a: Để 5/n-1 là số nguyên thì \(n-1\in\left\{1;-1;5;-5\right\}\)
hay \(n\in\left\{2;0;6;-4\right\}\)
b: Để n+8/n+1 là số nguyên thì \(n+1\in\left\{1;-1;7;-7\right\}\)
hay \(n\in\left\{0;-2;6;-8\right\}\)
Để 5/n-1 nhận giá trị là số nguyên thì:
n+1 thuộc Ư(5)= {-1;1;-5;5}
Lập bảng:
| n+1 | 1 | -1 | -5 | 5 |
| n | 0 | -2 | -6 | 4 |
=> n thuộc {0;-2;-6;4} thì n sẽ nhận giá trị là số nguyên
câu b làm tương tượng nhưng lấy n+1 thuộc Ư(7)










25) How can strong earthquakes affect land features? Strong earthquakes can cause the ground to crack or shift, create landslides, trigger tsunamis, and permanently raise or lower sections of the Earth's crust (uplift and subsidence).
26) Explain what happens when locked slabs break free. When locked tectonic slabs suddenly break free, the stored elastic energy is released as seismic waves, causing the ground to shake (an earthquake).
27) What can cause weathering? Weathering is caused by physical forces (like ice wedging, plant roots, and temperature changes) and chemical processes (like water reacting with minerals, acid rain, or oxidation).
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29) How does gravity cause erosion? Gravity acts as a direct force that pulls rocks, soil, and debris downward, leading to mass movements such as landslides, mudslides, rockfalls, and soil creep.