\[\boxed{\text{360\ (360).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ y = \sqrt{x};\ \ \ y = x\]
\[\sqrt{x} = x\]
\[\left( \sqrt{x} \right)^{2} = (x)^{2}\]
\[x = x^{2}\]
\[x^{2} - x = 0\]
\[x(x - 1) = 0\]
\[x = 0\ \ \ \ \ \ x = 1\]
\[да,\ имеют\ \]
\[(0;0),\ (0;1).\]
\[\textbf{б)}\ y = \sqrt{x};\ \ \ y = 1000\]
\[\sqrt{x} = 1000\]
\[\left( \sqrt{x} \right)^{2} = 1000^{2}\]
\[x = 1\ 000\ 000\]
\[да,\ имеют\]
\[(1\ 000\ 000;1000).\]
\[\textbf{в)}\ y = \sqrt{x};\ \ y = x + 10\]
\[\sqrt{x} = x + 10\]
\[\left( \sqrt{x} \right)^{2} = (x + 10)^{2}\]
\[x = x^{2} + 20x + 100\]
\[x^{2} + 19x + 100 = 0\]
\[D = 361 - 400 < 0\]
\[корней\ нет,\ значит\ и\ общих\ \]
\[точек\ тоже\ нет.\]
\[\textbf{г)}\ y = \sqrt{x};\ \ y = - x + 1,5\]
\[\sqrt{x} = - x + 1,5\]
\[\left( \sqrt{x} \right)^{2} = ( - x + 1,5)^{2}\]
\[x = 2,25 - 3x + x^{2}\]
\[x^{2} - 4x + 2,25 = 0\]
\[D = 16 - 9 = 7\]
\[x_{1,2} = \frac{4 \pm \sqrt{7}}{2} \approx \frac{4 \pm 2,65}{2}\]
\[Общие\ точки\ есть,\ координаты\ \]
\[примерные\ (0,7;0,8).\]