Giải giúp mình với ! Cảm ơn
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Câu 6: Để hàm số y=(1-m)x+3 nghịch biến trên R thì 1-m<0
=>m>1
=>Chọn B
Câu 7: D
Câu 10: (D)//(D')
=>\(\left\{{}\begin{matrix}3m+1=2\left(m+1\right)\\-2\ne-2\left(loại\right)\end{matrix}\right.\Leftrightarrow m\in\varnothing\)
=>Chọn D
Câu 11: \(x^2+2x+2=\left(x+1\right)^2+1>=1>0\forall x\)
=>\(\sqrt{x^2+2x+2}\) luôn xác định với mọi số thực x
=>Chọn A
Câu 12: Để hai đường thẳng y=x+3m+2 và y=3x+2m+3 cắt nhau tại một điểm trên trục tung thì \(\left\{{}\begin{matrix}1\ne3\left(đúng\right)\\3m+2=2m+3\end{matrix}\right.\)
=>3m+2=2m+3
=>m=1
=>Chọn C
a) \(\dfrac{\left(a+b\right)^2-\left(a-b\right)^2}{4}=ab\)
\(\Leftrightarrow\dfrac{a^2+2ab+b^2-a^2+2ab-b^2}{4}=ab\)
\(\Leftrightarrow\dfrac{4ab}{4}=ab\left(đúng\right)\)
b) \(2\left(x^2+y^2\right)=\left(x+y\right)^2+\left(x-y\right)^2\)
\(\Leftrightarrow2x^2+2y^2=x^2+2xy+y^2+x^2-2xy+y^2\)
\(\Leftrightarrow2x^2+2y^2=2x^2+2y^2\left(đúng\right)\)
c) \(\left(x+y\right)^2-\left(x-y\right)\left(x+y\right)=2y\left(x+y\right)\)
\(\Leftrightarrow\left(x+y\right)\left(x+y-x+y\right)=2y\left(x+y\right)\)
\(\Leftrightarrow\left(x+y\right).2y=2y\left(x+y\right)\left(đúng\right)\)
\(A^2=8+2\sqrt{16-10-2\sqrt{5}}\\ A^2=8+2\sqrt{6-2\sqrt{5}}\\ A^2=8+2\left(\sqrt{5}-1\right)=6+2\sqrt{5}\\ A=\sqrt{6+2\sqrt{5}}=\sqrt{5}+1\)
Đặt \(\sqrt{10+2\sqrt5}\)= a. Ta có A = \(\sqrt{4+a}+\sqrt{4-a}\)
=> A2 = 4 + a + 4 - a + 2\(\sqrt{(4+a)(4-a)}\)
=> A2 = 8 + 2\(\sqrt{16-a^2}\)
=> A2 = 8 + 2\(\sqrt{16 - 10 + 2\sqrt5}\)
=> A2 = 8 + 2\(\sqrt{5+2\sqrt{5}+1}\)
=> A2 = 8 + 2\(\sqrt{(\sqrt{5}+1)^2}\)
=> A2 = 8 + 2\(\sqrt5\) + 2
=> A = \(\sqrt{2\sqrt{5}+10}\)
\(a,A=\left(5x-1+1-x\right)^2=16x^2\\ B=x^3-x^3+4x=4x\\ c,A=B\Leftrightarrow16x^2-4x=0\\ \Leftrightarrow4x\left(4x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{4}\end{matrix}\right.\)
a) \(\Rightarrow A=\dfrac{\left(\sqrt{x}-1\right)^2}{\sqrt{x}-1}+\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\)
\(\Rightarrow A=\sqrt{x}-1+\sqrt{x}\)
\(\Rightarrow A=2\sqrt{x}-1\)
b) \(\Rightarrow A=2.4-1=7\)
a) \(A=\dfrac{\left(\sqrt{x}-1\right)^2}{\sqrt{x}-1}+\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}=\sqrt{x}-1+\sqrt{x}=2\sqrt{x}-1\)
b) \(A=2\sqrt{x}-1=2\sqrt{16}-1=2.4-1=7\)
1. Tom wishes he hadn't missed Mr. Baker's class yesterday afternoon.
2. I wish there were some red pepper in my food.
3. She wishes she sent me her recent photos.
4. I wish I had had time to see all the things we wanted to see.
5. Mary wishes she could sing well.
6. He wishes he could pick his children up.
7. He wishes he would attend the conference.
8. My sister wishes she spent a lot of time chatting with her friends.
1 too short
2 so easily that
3 so many people at that party that
4 not big enough
5 so many lies that
6 so much homework
7 so kind
8 such an intelligent - that
9 enough
10 powerful enough
11 so windy that
12 such - that
13 innocent enough
14 too ugly
15 such - that
16 enough light
17 enough
18 too few friends
19 such - that
20 so little