y + ( y + y ) + ( y + y + y ) = y x 2 + 20,4
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- Đặt lần lượt đáy lớn , đáy bé là a và b
-vì tổng độ dài hai đáy là 20,4 => a+b=20.4(1)
-Vì 2/3 đáy lớn = 75% đáy nhỏ =>2/3.a=3/4b
=>2/3a-3/4b=0(2)
-Lấy (1) gấp lên 2/3 lần
=>(1)=2/3a+2/3b=13.6(1')
-Lấy (1') - (2) ở cả hai vế được:
2/3a+2/3b-2/3a+3/4b=13.6
=>17/12a=13.6=>a=9.6
=>b=20.4-a=20.4-9.6=10.8
-Chiều cao của hình thang đó là = 10.8-0.4=10.4(m)
-Diện tích của hình thang là
S=(a+b).h.1/2= 20,4.10,4.1/2=106.08(m2)
Vậy...
![](https://rs.olm.vn/images/avt/0.png?1311)
7,4 + 2,6 x y = \(\frac{102}{13}\)
2,6 x y = \(\frac{102}{13}-7,4\)
2,6 x y = \(\frac{29}{65}\)
y = \(\frac{29}{65}:2,6\)
y = \(\frac{29}{169}\)
7,4 + 2,6 x y = 20,4 : 2,6
7,4 + 2,6 x y = 7,846...
2,6x y =7,846.... - 7,4
2,6 x y=0,446.....
y=0,446....... : 2,6
y=0,1715................
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=x^2-2xy+y^2+x^2+2xy+y^2+x^2-y^2=3x^2+y^2\\ B=\left(x-y-x+y-z\right)^2=\left(-z\right)^2=z^2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(B=\left(x+y\right)^3+3\left(x-y\right)\left(x+y\right)^2+3\left(x-y\right)^2\left(x+y\right)+\left(x-y\right)^3\)
\(=\left(x+y\right)^3+3\cdot\left(x+y\right)^2\cdot\left(x-y\right)+3\cdot\left(x+y\right)\cdot\left(x-y\right)^2+\left(x-y\right)^3\)
\(=\left[\left(x+y\right)+\left(x-y\right)\right]^3\)
\(=\left(x+y+x-y\right)^3\)
\(=\left(2x\right)^3\)
\(=8x^3\)
\(---\)
\(C=8\left(x+2y\right)^3-6\left(x+2y\right)^2x+12\left(x+2y\right)x^2-8x^3\) (sửa đề)
\(=\left[2\left(x+2y\right)\right]^3-3\cdot\left(x+2y\right)^2\cdot2x+3\cdot\left(x+2y\right)\cdot\left(2x\right)^2-\left(2x\right)^3\)
\(=\left[2\left(x+2y\right)-2x\right]^3\)
\(=\left(2x+4y-2x\right)^3\)
\(=\left(4y\right)^3\)
\(=64y^3\)
\(---\)
\(D=\left(x-y\right)^3-3\cdot\dfrac{\left(x-y\right)^2}{2}\cdot y+3\cdot\dfrac{\left(x-y\right)}{4}\cdot y^2-\dfrac{y^3}{8}\)
\(=\left(x-y\right)^3-3\cdot\left(x-y\right)^2\cdot\dfrac{y}{2}+3\cdot\left(x-y\right)\cdot\left(\dfrac{y}{2}\right)^2-\left(\dfrac{y}{2}\right)^3\)
\(=\left[\left(x-y\right)-\dfrac{y}{2}\right]^3\)
\(=\left(x-y-\dfrac{y}{2}\right)^3\)
\(=\left(x-\dfrac{3}{2}y\right)^3\)
#\(Toru\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(A=y^2-8y-x\left(8-y\right)\)
\(=y\left(y-8\right)+x\left(y-8\right)\)
\(=\left(y-8\right)\left(x+y\right)\)
\(=100\cdot100=10000\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải thích:
nNaOH dư = 0,3 – 0,2 = 0,1 mol => m muối = m chất rắn – mNaOH dư = 20,4 – 0,1.40 = 16,4 (g)
=> M muối = 16,4:0,2 = 82 (CH3COONa)
*ROH (Y) + Na: nY = neste = 0,2 mol => nH2 = nancol/2 = 0,1 mol
m bình tăng = m ancol – mH2 => 9 = 0,2(R+17) – 0,1.2 => R = 29 (C2H5)
Vậy este X là CH3COOC2H5
Đáp án A
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,=\dfrac{x^2-2xy+y^2}{\left(x-y\right)\left(x+y\right)}=\dfrac{\left(x-y\right)^2}{\left(x-y\right)\left(x+y\right)}=\dfrac{x-y}{x+y}\\ b,=\dfrac{x^2+2xy+y^2-x^2+2xy-y^2-4y^2}{\left(x-y\right)\left(x+y\right)}=\dfrac{4xy-4y^2}{\left(x-y\right)\left(x+y\right)}=\dfrac{4y\left(x-y\right)}{\left(x-y\right)\left(x+y\right)}=\dfrac{4y}{x+y}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: =2(x-y)^3/(x-y)-7(x-y)^2/(x-y)+(x-y)/(x-y)
=2(x-y)^2-7(x-y)+1
b: =3(x-y)^5/5(x-y)^2-2(x-y)^4/5(x-y)^2+3(x-y)^2/5(x-y)^2
=3/5(x-y)^3-2/5(x-y)^2+3/5
\(a,\)
\(\left[2\left(x-y\right)^3-7\left(y-x\right)^2-\left(y-x\right)\right]:\left(x-y\right)\)
\(=\left[2\left(x-y\right)^3-7\left(x-y\right)^2+\left(x-y\right)\right]:\left(x-y\right)\)
\(=\left\{\left(x-y\right)\left[2\left(x-y\right)^2-7\left(x-y\right)+1\right]\right\}:\left(x-y\right)\)
\(=2\left(x-y\right)^2-7\left(x-y\right)+1\)
\(b,\)
\(\left[3\left(x-y\right)^5-2\left(x-y\right)^4+3\left(x-y\right)^2\right]:\left[5\left(x-y\right)^2\right]\)
\(=\dfrac{3}{5}\left(x-y\right)^3-\dfrac{2}{5}\left(x-y\right)^2+\dfrac{3}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(a\right):\left(x+y\right)^2-\left(x-y\right)^2=x^2+2xy+y^2-\left(x^2-2xy+y^2\right)\\ =x^2+2xy+y^2-x^2+2xy-y^2\\ =4xy\)
\(\left(b\right):\left(x-y-z\right)^2+\left(x+y+z\right)^2\\ =\left[\left(x-y\right)-z\right]^2+\left[\left(x+y\right)+z\right]^2\\ =\left(x-y\right)^2-2z\left(x-y\right)+z^2+\left(x+y\right)^2+2z\left(x+y\right)+z^2\\ =x^2-2xy+y^2-2xz+2yz+z^2+x^2+2xy+y^2+2xz+2yz+z^2\\ =2x^2+2y^2+2z^2+4yz\)
\(\left(c\right):\left(x+y\right)^2-2\left(x+y\right)\left(x-y\right)+\left(x-y\right)^2\\ =\left[\left(x+y\right)-\left(x-y\right)\right]^2\\ =\left(x+y-x+y\right)^2\\ =\left(2y\right)^2=4y^2\)