1:

a: BC=8-3=5cm

b: MN=MC+CN=1/2(CA+CB)

=1/2*AB=4cm

2: 

a: Có 2 tia là OA và OB

b: AB=OB+OA=11cm

c: AC=BC=11/2=5,5cm

Giusp mình với mọi người ơi!!!

\(P=\left(\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}-\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}\right):\left(\dfrac{2\left(x-2\sqrt{x}+1\right)}{x-1}\right)\left(x>0,x\ne1\right)\)

\(=\left(\dfrac{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}-\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}+1\right)}\right):\left(\dfrac{2\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\right)\)

\(=\left(\dfrac{x+\sqrt{x}+1}{\sqrt{x}}-\dfrac{x-\sqrt{x}+1}{\sqrt{x}}\right):\dfrac{2\left(\sqrt{x}-1\right)}{\sqrt{x}+1}\)

\(=\dfrac{2\sqrt{x}}{\sqrt{x}}:\dfrac{2\left(\sqrt{x}-1\right)}{\sqrt{x}+1}=2.\dfrac{\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)

b) \(P=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}=1+\dfrac{2}{\sqrt{x}-1}\)

Để \(P\in Z\Rightarrow2⋮\sqrt{x}-1\Rightarrow\sqrt{x}-1\in\left\{1;2;-1;-2\right\}\)

\(\Rightarrow\sqrt{x}\in\left\{2;3;0\right\}\Rightarrow x\in\left\{4;9;0\right\}\)

a) Với  x>0; x≠1 ta có:

\(P=\left(\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}-\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}\right).\left(\dfrac{2\left(x-2\sqrt{x}+1\right)}{x-1}\right)\)

\(=\left(\dfrac{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}-\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}+1\right)}\right).\left(\dfrac{2\left(\sqrt{x}-1\right)^2}{x-1}\right)\)

\(=\left(\dfrac{x+\sqrt{x}+1}{\sqrt{x}}-\dfrac{x-\sqrt{x}+1}{\sqrt{x}}\right).\left(\dfrac{2\left(\sqrt{x}-1\right)}{\left(\sqrt{x}+1\right)}\right)\)

\(=\left(\dfrac{2\sqrt{x}}{\sqrt{x}}\right).\left(\dfrac{2\left(\sqrt{x}-1\right)}{\left(\sqrt{x}+1\right)}\right)=\dfrac{4x-4\sqrt{x}}{\sqrt{x}+1}\)

Vậy....

a) Ta có: \(P=\left(\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}-\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}\right):\left(\dfrac{2\left(x-2\sqrt{x}+1\right)}{x-1}\right)\)

\(=\dfrac{x+\sqrt{x}+1-x+\sqrt{x}-1}{\sqrt{x}}:\dfrac{2\left(\sqrt{x}-1\right)}{\sqrt{x}+1}\)

\(=2\cdot\dfrac{\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}\)

\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)

\(1,=3ab\left(1-2a+b\right)\\ 2,=\left(x-y\right)\left(x+y\right)-7\left(x+y\right)=\left(x+y\right)\left(x-y-7\right)\\ 3,=\left(a-5\right)\left(5a-2\right)\\ 4,=5x\left(x-3\right)-\left(x-3\right)\left(x+3\right)=\left(x-3\right)\left(4x-3\right)\\ 5,=9a^2-\left(b-2\right)^2=\left(3a-b+2\right)\left(3a+b-2\right)\\ 6,=2x^2-4x+3x-6=\left(x-2\right)\left(2x+3\right)\\ 7,=3x^2\left(2x-5\right)\\ 8,=\left(3x-5\right)\left(3x+5\right)\\ 9,=4x^2\left(x-y\right)-x\left(x-y\right)=x\left(4x-1\right)\left(x-y\right)\)

Giúp em bài số 4 ạ😓

1 Having slept

2 not being invited

3 Having had

4 having

5 talking

6 succeeded - launching

7 Having travelled

8 Have - considered - trying

9 Having seen - had - to go

10 Being invited

11 Being found

12 having

13 taken - being photographed 

14 to fix

15 living

16 Having waited - to deliver - decided to cancel

17 Having photocopied 

18 to have happen

19 to give

20 spoiling

Câu 5:

Điện trở tương đương:

R₂₃ = R₂ + R₃ = 6 + 4 = 10\(\Omega\)

R₂₃₄ = (R₂₃.R₄) : (R₂₃ + R₄) = (10.10) : (10 + 10) = 5Ω

R_tđ = R₁ + R₂₃₄ = 2 + 5 = 7Ω

Tham khảo:

Câu 6:

Bài 3:

\(\dfrac{a}{b}>\dfrac{c}{d}\)

\(\Leftrightarrow\dfrac{a}{b}.b>\dfrac{c}{d}.b\)

\(\Leftrightarrow a>\dfrac{bc}{d}\)

\(\Leftrightarrow ad>\dfrac{bc}{d}.d\)

\(\Leftrightarrow ad>bc\) (điều này đúng do giả thiết và \(b,d>0\))

Bài 4: 

a: \(17A=\dfrac{17^{201}+85}{17^{201}+5}=1+\dfrac{80}{17^{201}+5}\)

\(17B=\dfrac{17^{202}+85}{17^{202}+5}=1+\dfrac{80}{17^{202}+5}\)

mà \(17^{201}+5< 17^{202}+5\)

nên 17A>17B

hay A>B

1, Nam isn't so short as Hưng

2,Lan drives to work

3,How many fans are there in the classroom ?

4,It took 15 minutes 

5,Unless she work hard ,giữ nguyên