e dag cần ạaa
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a, Vì AC⊥AB và BD⊥AB nên AC//BD
b, Vì AC//BD nên \(\widehat{D_1}=\widehat{ACD}\) (so le trong)
Mà \(\widehat{ACD}+\widehat{C_1}=180^0\left(kề.bù\right)\Rightarrow\widehat{ACD}=\widehat{D_1}=180^0-70^0=110^0\)
2 True
3 False
4 True
5 False
b
1 It is located on top of a hill
2 They were used to protect people inside the castle
3 They can go upstairs on narrow staircases
4 15000 people visit the castle each day
a: \(VP=a^3+b^3+c^3-3bac\)
\(=\left(a+b\right)^3+c^3-3ab\left(a+b\right)-3abc\)
\(=\left(a+b+c\right)\left[\left(a+b\right)^2-c\left(a+b\right)+c^2\right]-3ab\left(a+b+c\right)\)
\(=\left(a+b+c\right)\left(a^2+2ab+b^2-ac-bc+c^2-3ab\right)\)
\(=\left(a+b+c\right)\left(a^2+b^2+c^2-ab-bc-ac\right)=VT\)
b: \(VT=\left(3a+2b-1\right)\left(a+5\right)-2b\left(a-2\right)\)
\(=3a^2+15a+2ab+10b-a-5-2ab+4b\)
\(=3a^2+14a+14b-5\)
\(VP=\left(3a+5\right)\left(a+3\right)+2\left(7b-10\right)\)
\(=3a^2+9a+5a+15+14b-20\)
\(=3a^2+14a+14b-5\)
=>VT=VP
c: \(VT=a\left(b-x\right)+x\left(a+b\right)\)
\(=ab-ax+ax+bx\)
\(=ab+bx=b\left(a+x\right)=VP\)
d: \(VT=a\left(b-c\right)-b\left(a+c\right)+c\left(a-b\right)\)
\(=ab-ac-ab-bc+ca-cb\)
\(=-2bc\)
=VP
3 Where was it made?
It was made in England
4 What was it made from?
It was made from wood and stone
6 Does your house have a moat?
Yes, it does
Lời giải:
a. ĐKXĐ: $x^2+5x+4\neq 0$
$\Leftrightarrow (x+1)(x+4)\neq 0$
$\Leftrightarrow x\neq -1; x\neq -4$
b. $M=\frac{x^2+4x+3}{x^2+5x+4}=\frac{(x+1)(x+3)}{(x+1)(x+4)}=\frac{x+3}{x+4}$
Tại $x=0$ thì $M=\frac{0+3}{0+4}=\frac{3}{4}$
Tại $x=2$ thì $M=\frac{2+3}{2+4}=\frac{5}{6}$
Tại $x=-3$ thì $M=\frac{-3+3}{-3+4}=0$
giải thích hộ e sao suy ra dc (x+1) (x+4) vậy ạ