Mot tam hinh chu nhat co chu vi 48m. Nguoi ta cat bo 4 hinh vuong co canh la 2cm o 4 goc roi gap len thanh 1 chiec thung co nap. Tinh kich thuoc cua tam ton biet the tich cua thung \(96cm^3\)

Nam ngoai tong so dan 2 tinh A va B la 4 trieu. Dan so tinh A nam nay tang 1,2%; tinh B tang 1,1%. Tong so dan cua 2 tinh nam nay la 4045000 nguoi. Tinh so dan cua moi tinh nam ngoai va nam nay

Tim cac so nguyen duong a, b, c thoa man: \(\left\{{}\begin{matrix}\sqrt{a-b+c}=\sqrt{a}-\sqrt{b}+\sqrt{c}\\\dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}=1\end{matrix}\right.\)

Quang duong AB dai 270 km. Hai o to khoi hanh cung luc tu A den B. O to thu 1 chay nhanh hon o to thu 2 la 12km/h nen den truoc o to thu hai 40 phut. Tinh van toc moi xe

Hai voi nuoc cung chay vao mot be sau 6 gio day be. Neu chay mot minh cho day be thi voi 1 can nhieu hon voi thu hai 5 gio. Hoi moi voi chay 1 minh trong bao lau thi day be

Thuc hien phep tinh: B=\(\dfrac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{2}}}+\dfrac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)

Cho he phuong trinh: \(\left\{{}\begin{matrix}x-2y=3-m\\2x+y=3.\left(m+2\right)\end{matrix}\right.\)

Goi (x;y) la nghiem cua he phuong trinh. Tim m de \(x^2+y^2\) dat GTNN

Cho duong thang (d) co phuong trinh: (m-1).x+(3m-4).y=-2m-5

a) Tim m de (d) song song Ox

b) Tim m de (d) song song Oy

c) Tim m de (d) di qua goc (O)

d) Tim m de (d) di qua diem A(2;-1)

Tim x, y sao cho: \(\sqrt{x+y-2}=\sqrt{x}+\sqrt{y}-\sqrt{2}\)

Giai he phuong trinh:

a) \(\left\{{}\begin{matrix}x+\sqrt{y+2018}=1\\\sqrt{x+2018}+y=1\end{matrix}\right.\)