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torisob [31]
3 years ago
12

The end points of AB are A(-2,-3) , B(3,2) point C lies on AB and is 2/5 of the way from A to . What is the coordinates of point

C? Explain how you find your answer

Mathematics
2 answers:
Naddik [55]3 years ago
8 0
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
A(-2,-3)\qquad B(3,2)\qquad
\qquad 2:5
\\\\\\
\cfrac{AC}{CB} = \cfrac{2}{5}\implies \cfrac{A}{B} = \cfrac{2}{5}\implies 5A=2B
\\\\\\
5(-2,-3)=2(3,2)\\\\
-------------------------------\\\\

\bf { C=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}\\\\
-------------------------------\\\\
C=\left(\cfrac{(5\cdot -2)+(2\cdot 3)}{2+5}\quad ,\quad \cfrac{(5\cdot -3)+(2\cdot 2)}{2+5}\right)

JulsSmile [24]3 years ago
6 0
X = x1+rx2/1+r ; y = y1+ry2/1+r   donde r es la razón 
aplicando la formula anterior las coordenadas serian x= -4/7 ; y=-11/7
donde x1 es la primera componente de punto A x2 la segunda componente del punto A y así mismo con Y<span />
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