Mathematics: Find the coordinate that divides the directed line segment from a (-6,3) to b (8,10) in the ratio of 3 to 4

Find the coordinate that divides the directed line

Ответ:

madisonwr

04.01.2022

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-6,3)\qquad B(8,10)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:4} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{4}\implies \cfrac{A}{B} = \cfrac{3}{4}\implies 4A=3B\implies 4(-6,3)=3(8,10)\\\\[-0.35em] ~\dotfill\\\\ C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill$

$\bf C=\left(\cfrac{(4\cdot -6)+(3\cdot 8)}{3+4}\quad ,\quad \cfrac{(4\cdot 3)+(3\cdot 10)}{w+z}\right) \\\\\\ C=\left(\cfrac{(-24)+(24)}{7}\quad ,\quad \cfrac{(12)+(30)}{7}\right)\implies C=\left( \cfrac{0}{7}~,~\cfrac{42}{7} \right)\implies C=(0,6)$

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Ответ:

yeomans410

29.01.2023

Mathematics

In rhombus the opposite angles are congruent and diagonals bisect angles,

so we can write

a+26+26=180

a=180-(26+26)=128

a= 128.

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Find the coordinate that divides the directed line segment from a (-6,3) to b (8,10) in the ratio of 3 to 4

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