Mathematics: What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? what is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x3−1 ?

What is the equation of a line that passes through

Ответ:

leen2727

04.06.2023

The determinant is C. -541.

Using a cofactor expansion along the first row:

$\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}$

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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? what is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x3−1 ?

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