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1 send - will receive
2 do - will improve
3 find - will give
4 will go - has
5 will go- gets
6 doesn't phone - will leave
7 don't study - won't pass
8 rains - won't have to
9 won't be able - watch
10 can't move - isn't
11 study - will pass
Đường tròn (C) tâm \(I\left(1;-1\right)\) bán kính \(R=4\)
Gọi \(I'\left(x';y'\right)\) là tâm \(\left(C'\right)\) \(\Rightarrow I'\) là ảnh của I qua phép vị tự nói trên đồng thời \(R'=\left|k\right|R\)
\(\left\{{}\begin{matrix}x'=1+k\left(1-1\right)=1\\y'=-1+k\left(-1+1\right)=-1\end{matrix}\right.\)
Phương trình (C'):
\(\left(x-1\right)^2+\left(y+1\right)^2=16k^2\)
Thế tọa độ M vào ta được:
\(\left(4-1\right)^2+\left(3+1\right)^2=16k^2\Rightarrow k^2=\dfrac{25}{16}\)
\(\Rightarrow k=\pm\dfrac{5}{4}\)
1. sociable
2. happy
3. polite
4. famous
5. crowded
6. beautiful
7. quiet
8. selfish
9. traditional
10. patient
23. Please take the form from your teacher and ask her to sign.
24. Can you show me the nearest way to the post office
25. We are going to plant the flowers in the parks and water them in the afternoon.
26. My brother is very good at repairing household appliances.
\(I=\int\dfrac{2}{2+5sinxcosx}dx=\int\dfrac{2sec^2x}{2sec^2x+5tanx}dx\\ =\int\dfrac{2sec^2x}{2tan^2x+5tanx+2}dx\)
We substitute :
\(u=tanx,du=sec^2xdx\\ I=\int\dfrac{2}{2u^2+5u+2}du\\ =\int\dfrac{2}{2\left(u+\dfrac{5}{4}\right)^2-\dfrac{9}{8}}du\\ =\int\dfrac{1}{\left(u+\dfrac{5}{4}\right)^2-\dfrac{9}{16}}du\\ \)
Then,
\(t=u+\dfrac{5}{4}\\I=\int\dfrac{1}{t^2-\dfrac{9}{16}}dt\\ =\int\dfrac{\dfrac{2}{3}}{t-\dfrac{3}{4}}-\dfrac{\dfrac{2}{3}}{t+\dfrac{3}{4}}dt\)
Finally,
\(I=\dfrac{2}{3}ln\left(\left|\dfrac{t-\dfrac{3}{4}}{t+\dfrac{3}{4}}\right|\right)+C=\dfrac{2}{3}ln\left(\left|\dfrac{tanx+\dfrac{1}{2}}{tanx+2}\right|\right)+C\)
a, Xét tam giác ABC vuông tại A, đường cao AH
* Áp dụng hệ thức : \(AB^2=BH.BC\Rightarrow BH=\frac{AB^2}{BC}=\frac{36a^2}{10a}=\frac{18a}{5}\)
b, Xét tam giác AHB vuông tại H ta có :
cos ABH = \(\frac{BH}{AB}=\frac{\frac{18a}{5}}{6a}=\frac{18a}{5}.\frac{1}{6a}=\frac{3}{5}\)