x-1/3=y-3=z-3/5 và 3x+2y-z=0
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Chiều cao thửa ruộng là:
21×2:3=14(m)
Tổng của đáy lớn và đáy bé là:
210×2:14=30(m)
Đáy lớn thửa ruộng là:
(30+6):2=18(m)
Đáy bé thửa ruộng là:
18-6=12(m)
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\(x=\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13...}}}}\)
\(\Rightarrow x^2-5=\sqrt{13+\sqrt{5+\sqrt{13...}}}\)
\(\Rightarrow x^4-10x^2+25-13=x\)
\(\Leftrightarrow x^4-10x^2-x+12=0\)
\(\Leftrightarrow\left(x-3\right)\left[\left(x+3\right)\left(x+1\right)\left(x-1\right)-1\right]=0\)
Dễ thấy \(x=\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13...}}}}>\sqrt{4}=2\)nên \(\left(x+3\right)\left(x+1\right)\left(x-1\right)-1>5\cdot3\cdot1-1=14>0\)nên x = 3
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x2 - xy = 4
=> x ( x - y ) = 4
x | x - y | y |
1 | 4 | - 3 |
4 | 1 | 3 |
- 1 | - 4 | - 3 |
- 4 | - 1 | - 3 |
2 | 2 | 0 |
- 2 | - 2 | 0 |
Vậy các cặp ( x ; y ) thỏa mãn đề bài là : ( 1 ; - 3 ) ; ( 4 ; 3 ) ; ( - 1 ; - 3 ) ; ( - 4 ; - 3 ) ; ( 2 ; 0 ) ; ( - 2 ; 0 )
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Ta có :
\(12^{15}\)
\(2^{45}=\left(2^3\right)^{15}=8^{15}\)
\(\Rightarrow\)\(12^{15}\)> \(8^{15}\)
hay \(12^{15}\)> \(2^{45}\)
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\(3^{2019}+4^{2019}\)\(=\left(3^3\right)^{673}+\left(4^3\right)^{673}\)\(⋮3^3+4^3=91⋮13\)
Vậy: \(3^{2019}+4^{2019}⋮13\)
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1.You should eat more vegetables(vegetables), and you will feel healthier.
2. The exam ination is coming watch less TV (TV)
3. You look lack of sleep sleep more.(sleep)
4.Eat more fish ( fish), and you will smarter.
5.You are putting on weight eat less fast food..(fast food)
6.try to talk less (try/ talk) when you have a sore throat
7. You have a cough you should drink more warm water(warm water).
8.Sunbathe less (Sunbathe) or you ll' get sunburnt
Make imperatives with more or less
1.You should eat more vegetable, and you will feel heathier
2.The examination is coming.watch less TV
3.You look lack of sleep.(sleep) more
4. Eat more(fish), and you wiil be smarter
5.You are putting on weight (fast food) so eat less fast food.
6.(try/talk)Try to talk when you have a throat
7. You have a cough (warm water) , you shouls drink more warm water .
8.less (sunburn),or you'll get sunburnt
![](https://rs.olm.vn/images/avt/0.png?1311)
Vietnamese students have fewer vacations than American ones
=>American students have longer vacations than Vietnamese ones.
Ta có \(\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-3}{5}\)
=> \(\frac{3x-3}{9}=\frac{2y-6}{2}=\frac{z-3}{5}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có \(\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-3}{5}=\frac{3x-3}{9}=\frac{2y-6}{2}=\frac{z-3}{5}=\) \(=\frac{3x-3+2y-6-z+3}{9+2-5}=\frac{\left(3y+2y-z\right)-6}{6}=\frac{-6}{6}=-1\)
=> \(\hept{\begin{cases}x-1=-3\\y-3=-1\\z-3=-5\end{cases}}\Rightarrow\hept{\begin{cases}x=-2\\y=2\\z=-2\end{cases}}\)
Ta có :
\(\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-3}{5}\)
\(\Rightarrow\frac{3x-3}{9}=\frac{2y-6}{2}=\frac{z-3}{5}\)
Áp dụng tính chất dãy tỉ số bằng nhau :
\(\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-3}{5}=\frac{3x-3}{9}=\frac{2y-6}{2}=\frac{z-3}{5}\)
\(=\frac{3x-3+2y-6-z+3}{9+2-5}=\frac{\left(3y+2y-z\right)-6}{6}=\frac{-6}{6}=-1\)
\(\Rightarrow\hept{\begin{cases}x-1=-3\\y-3=-1\\z-3=-5\end{cases}\Rightarrow\hept{\begin{cases}x=-2\\y=2\\z=-2\end{cases}}}\)