\(a,A=\left(\dfrac{x+14\sqrt{x}-5}{x-25}+\dfrac{\sqrt{x}}{\sqrt{x}+5}\right):\dfrac{\sqrt{x}+2}{\sqrt{x}-5}\)

\(\Rightarrow A=\left(\dfrac{x+14\sqrt{x}-5}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}+\dfrac{\sqrt{x}\left(\sqrt{x}-5\right)}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}\right).\dfrac{\sqrt{x}-5}{\sqrt{x}+2}\)

\(\Rightarrow A=\left(\dfrac{x+14\sqrt{x}-5}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}+\dfrac{x-5\sqrt{x}}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}\right).\dfrac{\sqrt{x}-5}{\sqrt{x}+2}\)

\(\Rightarrow A=\dfrac{x+14\sqrt{x}-5+x-5\sqrt{x}}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}.\dfrac{\sqrt{x}-5}{\sqrt{x}+2}\)

\(\Rightarrow A=\dfrac{2x+9\sqrt{x}-5}{\left(\sqrt{x}+5\right)\left(\sqrt{x}-5\right)}.\dfrac{\sqrt{x}-5}{\sqrt{x}+2}\)

\(\Rightarrow A=\dfrac{2x+10\sqrt{x}-\sqrt{x}-5}{\left(\sqrt{x}+5\right)\left(\sqrt{x}+2\right)}\)

\(\Rightarrow A=\dfrac{2\sqrt{x}\left(\sqrt{x}+5\right)-\left(\sqrt{x}+5\right)}{\left(\sqrt{x}+5\right)\left(\sqrt{x}+2\right)}\)

\(\Rightarrow A=\dfrac{\left(2\sqrt{x}-1\right)\left(\sqrt{x}+5\right)}{\left(\sqrt{x}+5\right)\left(\sqrt{x}+2\right)}\)

\(\Rightarrow A=\dfrac{2\sqrt{x}-1}{\sqrt{x}+2}\)

a: tan B=2

=>\(\frac{\sin B}{cosB}=2\)

=>sin B=2*cosB

\(A=\frac{\sin B+cosB}{\sin B-cosB}\)

\(=\frac{2\cdot cosB+cosB}{2\cdot cosB-cosB}=\frac{3\cdot cosB}{cosB}=3\)

b: \(C=\sin^2a+2\cdot\sin a\cdot cosa-3\cdot cos^2a\)

\(=\left(\sin^2a+2\cdot\sin a\cdot cosa+cos^2a\right)-4\cdot cos^2a\)

\(=\left(\sin a+cosa\right)^2-4\cdot cos^2a=\left(3\cdot cosa\right)^2-4\cdot cos^2a=5\cdot cos^2a\)

c: \(D=\frac{\sin^2a-\sin a\cdot cosa-cos^2a}{2\cdot\sin a\cdot cosa}\)

\(=\frac{\left(2\cdot cosa\right)^2-2\cdot cosa\cdot cosa-cos^2a}{2\cdot2\cdot cosa\cdot cosa}\)

\(=\frac{4\cdot cos^2a-3\cdot cos^2a}{4\cdot cos^2a}=\frac{4-3}{4}=\frac14\)

lần đổ 1

\(\left(mC+m'C'\right).\left(38-20\right)=mC.\left(60-38\right)\)

\(\Leftrightarrow\left(mC+m'C'\right)18=mC.22\)

\(\Leftrightarrow2mC=9m'C'\)

lần 2 \(\left(2mC+m'C'\right)\left(t_x-38\right)=mC.\left(60-t_x\right)\)

\(11m'C'\left(t_x-38\right)=\dfrac{9}{2}.m'C'\left(60-t_x\right)\)

\(\Rightarrow t_x=...\)

 1 had better eat more fruits and vegetables.

2 likes painting very much.

3 play  card.

*Le's -> Let's

4 had better not eat canned  food.

5 don't we go camping for some days?

cảm ơn cậu nhìu ạ

Chụp rõ đề hơn đi bạn.

Câu 2:

\(R1=R_{nt}-R2=9-6=3\Omega\)

\(=>R_{ss}=\dfrac{R1\cdot R2}{R1+R2}=\dfrac{3\cdot6}{3+6}=2\Omega\)

Chọn A