\(M\left(2;6\right)\in y=ax+5\Leftrightarrow6=a\cdot2+5\Rightarrow a=\dfrac{1}{2}\)

thay x=1 y=6 vào công thức hs ta được:
a+5=6<=>a=1
 

Gọi (d) = y = ax + 5

Vì (d) có hàm số y = ax + 5 đi qua M(2, 6) => Thay x= 2, y = 6

=> 6 = 2a + 5 => a = 1/2 hoặc 0.5

Bài 3: 

52,38-2,1=50,28

45+85,69=130,69

7,14x82=585,48

9,03:2,1=4,3

\(9,PT\Leftrightarrow x-6=3x-7\left(x\ge6\right)\\ \Leftrightarrow x=\dfrac{1}{2}\left(ktm\right)\\ \Leftrightarrow x\in\varnothing\\ 10,PT\Leftrightarrow3x-2=4x^2-4x+1\left(x\le\dfrac{1}{2}\right)\\ \Leftrightarrow4x^2-7x+3=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{3}{4}\end{matrix}\right.\left(ktm\right)\Leftrightarrow x\in\varnothing\\ 11,PT\Leftrightarrow\sqrt{x^2+x-1}=2-x\left(x\le2\right)\\ \Leftrightarrow x^2+x-1=x^2-4x+4\\ \Leftrightarrow5x=5\Leftrightarrow x=1\left(tm\right)\\ 12,PT\Leftrightarrow\left(\sqrt{20-x}-4\right)+\left(\sqrt{x+5}-3\right)=0\left(5\le x\le20\right)\\ \Leftrightarrow\dfrac{4-x}{\sqrt{20-x}+4}+\dfrac{x-4}{\sqrt{x+5}+3}=0\\ \Leftrightarrow\left(x-4\right)\left(\dfrac{1}{\sqrt{x+5}+3}-\dfrac{1}{\sqrt{20-x}+4}\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=4\left(tm\right)\\\dfrac{1}{\sqrt{x+5}+3}=\dfrac{1}{\sqrt{20-x}+4}\left(1\right)\end{matrix}\right.\\ \left(1\right)\Leftrightarrow\sqrt{x+5}+3=\sqrt{20-x}+4\\ \Leftrightarrow\left(\sqrt{x+5}-4\right)-\left(\sqrt{20-x}-3\right)=0\\ \Leftrightarrow\dfrac{x-11}{\sqrt{x+5}+4}+\dfrac{x-11}{\sqrt{20-x}+3}=0\\ \Leftrightarrow\left(x-11\right)\left(\dfrac{1}{\sqrt{x+5}+4}+\dfrac{1}{\sqrt{20-x}+3}\right)=0\\ \Leftrightarrow x=11\left(\dfrac{1}{\sqrt{x+5}+4}+\dfrac{1}{\sqrt{20-x}+3}>0\right)\\ \text{Vậy PT có nghiệm }x\in\left\{4;11\right\}\)

\(13,PT\Leftrightarrow\sqrt{x-1}+\sqrt{3x-2}=\sqrt{5x+1}\left(x\ge-\dfrac{1}{5}\right)\\ \Leftrightarrow4x-3+2\sqrt{\left(x-1\right)\left(3x-2\right)}=5x+1\\ \Leftrightarrow x+4=2\sqrt{3x^2-5x+2}\\ \Leftrightarrow x^2+8x+16=12x^2-20x+8\\ \Leftrightarrow11x^2-28x-8=0\\ \Delta'=14^2+8\cdot11=284\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{14-2\sqrt{71}}{11}\\x=\dfrac{14+2\sqrt{71}}{11}\end{matrix}\right.\)

\(14,ĐK:x\ge-1\)

Đặt \(\sqrt{x+1}=a\ge0\)

\(PT\Leftrightarrow2\sqrt{a^2-1+2a}-a=4\\ \Leftrightarrow2\sqrt{a^2+2a-1}=a+4\\ \Leftrightarrow4a^2+8a-4=a^2+8a+16\\ \Leftrightarrow3a^2-20=0\\ \Leftrightarrow a^2=\dfrac{20}{3}\Leftrightarrow x+1=\dfrac{20}{3}\Leftrightarrow x=\dfrac{17}{3}\left(tm\right)\)

\(15,ĐK:-3\le x\le6\)

Đặt \(\sqrt{x+3}+\sqrt{6-x}=a\ge0\)

\(\Leftrightarrow\dfrac{a^2-9}{2}=\sqrt{\left(x+3\right)\left(6-x\right)}\\ PT\Leftrightarrow a-\dfrac{a^2-9}{2}=3\\ \Leftrightarrow2a-a^2+9=6\\ \Leftrightarrow a^2-2a-3=0\\ \Leftrightarrow a=3\left(a\ge0\right)\\ \Leftrightarrow\sqrt{x+3}+\sqrt{6-x}=3\\ \Leftrightarrow\sqrt{x+3}-3+\sqrt{6-x}=0\\ \Leftrightarrow\dfrac{x-6}{\sqrt{x+3}+3}-\dfrac{x-6}{\sqrt{6-x}}=0\\ \Leftrightarrow\left[{}\begin{matrix}x=6\left(tm\right)\\\dfrac{1}{\sqrt{x+3}+3}=\dfrac{1}{\sqrt{6-x}}\left(1\right)\end{matrix}\right.\\ \left(1\right)\Leftrightarrow\sqrt{x+3}+3=\sqrt{6-x}\\ \Leftrightarrow\sqrt{x+3}-\left(\sqrt{6-x}-3\right)=0\\ \Leftrightarrow\dfrac{x+3}{\sqrt{x+3}}+\dfrac{x+3}{\sqrt{6-x}+3}=0\\ \Leftrightarrow x=-3\left(\dfrac{1}{\sqrt{x+3}}+\dfrac{1}{\sqrt{6-x}+3}>0\right)\\ \text{Vậy PT có nghiệm }x\in\left\{6;-3\right\}\) 

\(16,\) Đặt \(\sqrt{x^2-6x+6}=a\ge0\)

\(PT\Leftrightarrow a^2+3=4a\\ \Leftrightarrow a^2-4a+3=0\\ \Leftrightarrow\left[{}\begin{matrix}a=1\\a=3\end{matrix}\right.\)

Với \(a=1\Leftrightarrow x^2-6x+5=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=5\end{matrix}\right.\)

Với \(a=3\Leftrightarrow x^2-6x-3=0\Leftrightarrow\left[{}\begin{matrix}x=3+2\sqrt{3}\\x=3-2\sqrt{3}\end{matrix}\right.\)

Vậy PT có nghiệm \(x\in\left\{1;5;3+2\sqrt{3};3-2\sqrt{3}\right\}\)

IX
2. j
3. i
4. f
5. c
6. a
7. h
8. e
9. g
10. d

XI
2. part => parts
3. a => an
4. a => an
5. a => the
6. are => will be (không chắc lắm)
7. taking => take
8. are => is

C. 
Bài 1
1. C
2. B
3. C
4. B

(Nên double-check trước khi chép)
 

Lời giải:

a.

Diện tích mảnh đất là: $12.10=120$ (m²)

Diện tích phần đất trồng hoa: $6.8=48$ (m²)

b.

Diện tích trồng cỏ là: $120-48=72$ (m²)

Tổng tiền công chi trả để trồng hoa và cỏ là:

$48.40 000 +72.30 000=4080000$ (đồng)

1.2.3+....+88.89.90

=1.2.3.(4-0):4+...+88.89.90.(91-87):4

=(1.2.3.4-0.1.2.3):4+...+(88.89.90.91-87.88.89.90):4 (Ta gạch các số hạng giống nhau)

=(0.1.2.3+88.89.90.91):4

=88.89.90.91:4

=16036020 

help me

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