Simon usually drove to work at an average speed of \( 72 \mathrm{~km} / \mathrm{h} \). On Monday, he left his home 10 minutes later than usual and had to drive at \( 90 \mathrm{~km} / \mathrm{h} \) in order to teach his office at the usual time. How far is his house from his office?

A metal wire 40 cm long is cut into two and each piece is bent to forn square. If the sum of their areas is \( 58 \mathrm{sq} . \mathrm{cm} \), how long is each piece?

27. Donner, s'il y a lieu, une interprétation graphique pour la courbe \( C_{f} \) des limites suivantes. \( \begin{array}{ll}\text { 1. } \lim _{x \rightarrow+\infty} f(x)=-3 & \text { 2. } \lim _{x \rightarrow-1} f(x)=+\infty \\ \text { 3. } \lim _{x \rightarrow-\infty} f(x)=+\infty & \text { 4. } \lim _{x \rightarrow 2} f(x)=-\infty\end{array} \)

37. Un estado compra 540000 barriles de petróleo a tres suministradores diferentes que lo venden a 27,28 y 32 dólares el barril, respectivamente. La factura total asciende a 16346000 dólares. Si del orimer suministrador recibe el \( 30 \% \) del total de petróleo comprado, ¿cuál es la cantidad comprada a ada suministrador?

2. Найдите значение выражения \( \frac{3 \sin ^{2} x-2 \sin x \cos x+1}{2 \cos ^{2} x+\sin x \cos x+3} \) если выражение \( \frac{3 \sin x+\cos x}{\sin x+2 \cos x}=\frac{7}{5} \)

What is the area of a square with sides of length \( 6 ? \)