Mathematics: find the point that is one fourth of the way from (2, 4) to (10,8).

tan(x) = 5 tan(x) = 2 sin(x) = 8 sin(x) = 24...

find the point that is one fourth of the way from

Ответ:

polarbear3787

05.01.2022

$\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{10}~,~\stackrel{y_2}{8})~\hspace{8em} \frac{1}{4}\textit{ of the way from }A\to B \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment AB}}{ (\stackrel{x_2}{10}-\stackrel{x_1}{2}, \stackrel{y_2}{8}-\stackrel{y_1}{4})\qquad \implies \qquad (8,4)} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{~\hfill \textit{values to be added to Point A coordinates}} {\cfrac{1}{4}(8,4)\implies \cfrac{1}{4}(8)~,~\cfrac{1}{4}(4)\qquad \implies \qquad \left(2,1\right)} \\\\\\ \stackrel{\textit{addition of Point A coordinates and values}} {(2,4)+\left( 2,1\right)\qquad \implies \blacktriangleright \left( 4,5\right) \blacktriangleleft }$

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find the point that is one fourth of the way from (2, 4) to (10,8).

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