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МатематикаРешебник по алгебре 9 класс Мерзляк Задание 450
Задание 450
\[\boxed{\text{450\ (450).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ \left\{ \begin{matrix} y = x + 2 \\ xy = 8\ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix} y = x + 2 \\ y = \frac{8}{x}\text{\ \ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]
\[y = x + 2\]
| \[x\] | \[0\] | \[1\] |
|---|---|---|
| \[y\] | \[2\] | \[3\] |
\[y = \frac{8}{x}\]
| \[x\] | \[1\] | \[2\] | \[4\] | \[8\] | \[- 1\] | \[- 4\] | \[- 2\] | \[- 8\] |
|---|---|---|---|---|---|---|---|---|
| \[y\] | \[8\] | \[2\] | \[4\] | \[1\] | \[- 8\] | \[- 2\] | \[- 4\] | \[- 1\] |
\[Ответ:( - 4;\ - 2);\ \ (2;4).\]
\[2)\ \left\{ \begin{matrix} y = x^{2} - 4 \\ 2x + y = - 1 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = x^{2} - 4 \\ y = - 1 - 2x \\ \end{matrix} \right.\ \]
\[y = x^{2} - 4\]
\[График\ y = x^{2}\ сдвинуть\ на\ \]
\[4\ единицы\ вниз.\]
\[y = - 1 - 2x\ \]
| \[x\] | \[0\] | \[- 1\] |
|---|---|---|
| \[y\] | \[- 1\] | \[1\] |
\[Ответ:( - 3;5);\ \ (1;\ - 3).\]
\[3)\ \left\{ \begin{matrix} x + y = 3\ \ \ \\ x^{2} + y^{2} = 9 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ \ \ }\]
\[\ \left\{ \begin{matrix} y = 3 - x\ \ \\ x^{2} + y^{2} = 9 \\ \end{matrix} \right.\ \]
\[y = 3 - x\]
| \[x\] | \[0\] | \[1\] |
|---|---|---|
| \[y\] | \[3\] | \[2\] |
\[x^{2} + y^{2} = 9\]
\[\text{O\ }(0;0),\ \ r = 3\]
\[Ответ:(0;3);\ \ (3;0).\]
