mn giúp em với ạ e cảm ơn =)))

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1.Yes, they do
2..Yes, it is
3.People buy fruits and flowers from the market and decorate their house
4.People visit their family and friends
1 Yes, they do
2 Yes, it is
3 They often buy fruits and flowers from the market and decorate their houses
4 They often visit their family and friends
1, That
2, This
3, that
4, those
5, these - that
6, these
7, this
8, that
9, that
10, this
11, those
12, this
13, it
14, these
15, them
16, those
1.
c, \(sin\left(\dfrac{\pi}{3}-x\right)=-\dfrac{1}{4}\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{\pi}{3}-x=arcsin\left(-\dfrac{1}{4}\right)+k.360^o\\\dfrac{\pi}{3}-x=\pi-arcsin\left(-\dfrac{1}{4}\right)+k.360^o\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\pi}{3}-arcsin\left(-\dfrac{1}{4}\right)+k.360^o\\x=-\dfrac{2\pi}{3}+arcsin\left(-\dfrac{1}{4}\right)+k.360^o\end{matrix}\right.\)
d, \(sin4x=\dfrac{2}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}4x=arcsin\dfrac{2}{3}+k2\pi\\4x=\pi-arcsin\dfrac{2}{3}+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}arcsin\dfrac{2}{3}+\dfrac{k\pi}{2}\\x=\dfrac{\pi}{4}-\dfrac{1}{4}arcsin\dfrac{2}{3}+\dfrac{k\pi}{2}\end{matrix}\right.\)
1.
e, \(2sin2x+\sqrt{2}=0\)
\(\Leftrightarrow sin2x=-\dfrac{\sqrt{2}}{2}\)
\(\Leftrightarrow sin2x=sin\left(-\dfrac{\pi}{4}\right)\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=-\dfrac{\pi}{4}+k2\pi\\2x=\dfrac{5\pi}{4}+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{8}+k\pi\\x=\dfrac{5\pi}{8}+k\pi\end{matrix}\right.\)
Bài 1:
a: \(36a^4-y^2=\left(6a^2-y\right)\left(6a^2+y\right)\)
n: \(6x^2+x-2\)
\(=6x^2+4x-3x-2\)
\(=\left(3x+2\right)\left(2x-1\right)\)
a: ΔADE vuông tại A
=>\(AD^2+AE^2=DE^2\)
=>\(DE^2=6^2+8^2=36+64=100=10^2\)
=>DE=10(cm)
b:
Sửa đề: Chứng minh \(DI\cdot DE=DA^2\)
Xét ΔDIA vuông tại I và ΔDAE vuông tại A có
\(\hat{IDA}\) chung
Do đó: ΔDIA~ΔDAE
=>\(\frac{DI}{DA}=\frac{DA}{DE}\)
=>\(DI\cdot DE=DA^2\)
c:Sửa đề: Tính DI,IE
Ta có: \(DI\cdot DE=DA^2\)
=>DI=6^2/10=3,6(cm)
Ta có: DI+IE=DE
=>IE=10-3,6=6,4(cm)
d: Xét ΔDAE có AM là phân giác
nên \(\frac{MD}{ME}=\frac{AD}{AE}=\frac68=\frac34\)
=>\(\frac{MD}{3}=\frac{ME}{4}\)
mà MD+ME=DE=10
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\frac{MD}{3}=\frac{ME}{4}=\frac{MD+ME}{3+4}=\frac{10}{7}\)
=>\(MD=3\cdot\frac{10}{7}=\frac{30}{7}\) (cm)
Bài 3:
\(a,=3x\left(y-4x+6y^2\right)\\ b,=5xy\left(x^2-6x+9\right)=5xy\left(x-3\right)^2\\ d,=\left(x+y\right)\left(x-12\right)\\ f,=2x\left(x-y\right)\left(5x-4y\right)\\ g,=\left(x-2\right)\left(x-2+3x\right)=\left(x-2\right)\left(4x-2\right)=2\left(x-2\right)\left(2x-1\right)\\ h,=x^2\left(1-5x\right)+3xy\left(5x-1\right)=x\left(1-5x\right)\left(x-3y\right)\\ i,=x\left(x-2\right)+4\left(x-2\right)=\left(x+4\right)\left(x-2\right)\\ j,=x^2-2x-3x+6=\left(x-2\right)\left(x-3\right)\\ k,=4x^2-12x+3x-9=\left(x-3\right)\left(4x+3\right)\\ l,=\left(x+5\right)^2-y^2=\left(x-y+5\right)\left(x+y+5\right)\\ m,=x^2-\left(2y-6\right)^2=\left(x-2y+6\right)\left(x+2y-6\right)\\ n,=\left(x^2+5x+4\right)\left(x^2+5x+6\right)-24\\ =\left(x^2+5x+5\right)^2-1-24\\ =\left(x^2+5x+5\right)^2-25\\ =\left(x^2+5x\right)\left(x^2+5x+10\right)\\ =x\left(x+5\right)\left(x^2+5x+10\right)\)










Task 1:
2. try on
3. large
4. jeans
5. changing room
6. customer
7. sweater
8. medium
Task 2:
2. grill
3. seafood
4. lamp
5. fry
6. noodles
7. pork
8. fish sauce
9. herbs