ai giúp e vs. e dg cần gấp ạ
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a)A=(2;1)
b)Chị hong bíc:<<<
c)trục y e chấm 1 điểm(B) ngay số -1
g: \(=\dfrac{x^2+2x-x^2-4x-2x+4}{x\left(x-2\right)\left(x+2\right)}=\dfrac{-4x+4}{x\left(x-2\right)\left(x+2\right)}\)
h: \(=\dfrac{2x^2+1-x^2+1-x^2+x-1}{\left(x+1\right)\left(x^2-x+1\right)}\)
\(=\dfrac{x+1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{1}{x^2-x+1}\)
\(e,=\dfrac{1}{x-1}-\dfrac{2x}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{x^2-2x+1}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{\left(x-1\right)^2}{\left(x^2+1\right)\left(x-1\right)}=\dfrac{x-1}{x^2+1}\\ f,=\dfrac{3x-1}{2\left(3x+1\right)}+\dfrac{3x+1}{2\left(3x-1\right)}-\dfrac{6x}{\left(3x-1\right)\left(3x+1\right)}\\ =\dfrac{9x^2-6x+1+9x^2+6x+1-12x}{2\left(3x-1\right)\left(3x+1\right)}=\dfrac{2\left(3x-1\right)^2}{2\left(3x-1\right)\left(3x+1\right)}=\dfrac{3x-1}{3x+1}\)
\(g,=\dfrac{x}{x\left(x-2\right)}-\dfrac{x^2+4x}{x\left(x-2\right)\left(x+2\right)}-\dfrac{2}{x\left(x+2\right)}\\ =\dfrac{x^2+2x-x^2-4x-2x+4}{x\left(x-2\right)\left(x+2\right)}=\dfrac{-4x+4}{x\left(x-2\right)\left(x+2\right)}\\ h,=\dfrac{2x^2+1-x^2+1-x^2+x-1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{x+1}{\left(x+1\right)\left(x^2-x+1\right)}=\dfrac{1}{x^2-x+1}\)
X x ( 4,2 + 0,8 ) = 2,64
X x 5 = 2,64
X = 2,64 : 5
X = 0,528
X x ( 4,2 + 0,8 ) = 2,64
X x 5 = 2,64
X = 2,64 : 5
X = 0,528 ok
`2)`
`@` Xét `3x+6 >= 0<=>x >= -2`
`=>A=[-2;+oo)`
`@` Xét `|x-2| < 3`
`<=>-3 < x-2 < 3`
`<=>-1 < x < 5=>B=(-1;5)`
Có: `A nn B=(-1;5)`
`A uu B=[-2;+oo)`
`R \\ B=(-oo;-1]uu[5;+oo)`
_______
`3)`
`@` Xét `x+3 >= 2x+7<=>x <= -4=>A=(-oo;-4]`
`@` Xét `4x+5 > 0<=>x > -5/4=>B=(-5/4;+oo)`
`@` Xét `|x+4| < 2<=>-2 < x+4 < 2<=>-6 < x < -2 =>C=(-6;-2)`
Có: `A nn B nn C=\emptyset`
`A \\ B nn C=(-6;-4]`
`C \\ A nn B=\emptyset`.
Bài 4:
Theo định lý sin ta có:
\(\dfrac{AC}{sinB}=\dfrac{BC}{sinA}\)
\(\Rightarrow BC=a=\dfrac{b\cdot sinA}{sinB}=\dfrac{2\cdot sin60^o}{sin45^o}=\sqrt{6}\)
\(\Rightarrow\widehat{C}=180^o-60^o-45^o=75^o\)
\(\dfrac{AC}{sinB}=\dfrac{AB}{sinC}\)
\(\Rightarrow AB=c=\dfrac{b\cdot sinC}{sinB}=\dfrac{2\cdot sin75^o}{sin45^o}=1+\sqrt{3}\)
Diện tích tam giác ABC là:
\(S_{ABC}=\dfrac{1}{2}\cdot AC\cdot AB\cdot sinA=\dfrac{1}{2}\cdot2\cdot\left(1+\sqrt{3}\right)\cdot sin75^o=\dfrac{\sqrt{6}+2\sqrt{2}}{2}\) (đvdt)
Bán kình hình tròn tam giác ABC khi đó là:
\(S_{ABC}=\dfrac{abc}{4R}\)
\(\Rightarrow R=\dfrac{abc}{4S_{ABC}}=\dfrac{2\cdot\left(1+\sqrt{3}\right)\cdot\sqrt{6}}{4\cdot\left(\dfrac{\sqrt{6}+2\sqrt{2}}{2}\right)}=3-\sqrt{3}\)
Bài 3:
a) Xét tam giác ABC theo định lý côsin ta có:
\(cosC=\dfrac{a^2+b^2-c^2}{2ab}=\dfrac{8^2+10^2-13^2}{2\cdot8\cdot10}=-0,03125\)
\(\Rightarrow\widehat{C}=cos^{-1}-0,03125\approx91^o>90^o\)
Nên tam giác ABC có góc C là góc tù
c) Theo hệ thức Heron ta có diện tích tam giác ABC là:
\(S_{ABC}=\sqrt{p\cdot\left(p-a\right)\cdot\left(p-b\right)\cdot\left(p-c\right)}\)
\(\Rightarrow S_{ABC}=\sqrt{\dfrac{8+10+13}{2}\cdot\left(\dfrac{8+10+13}{2}-8\right)\cdot\left(\dfrac{8+10+13}{2}-10\right)\cdot\left(\dfrac{8+10+13}{2}-13\right)}\)
\(\Rightarrow S_{ABC}\approx40\) (đvdt)
b) Bán kính đường tròn ngoại tiếp tam giác ABC là:
\(S_{ABC}=\dfrac{abc}{4R}\)
\(\Rightarrow R=\dfrac{abc}{4S_{ABC}}=\dfrac{8\cdot10\cdot13}{4\cdot40}=6,5\)
ai giúp e vs ạ
1 such a low bridge that the bus couldn't go under it
2 plays football as well as Tom
3 wake me up at 6 o'clock tomorrow morning" I asked my mother
4 repaired next week
5 her good behavior, everyone likes her
6 her son to be careful when he crossed the street
7 he was seriously ill, he couldn't come
8 old enough to get married
9 the cheapest coat you have