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max2010maxim [7]
3 years ago
15

Help me plsssssss 2 1/2 x 3

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
Exact form: 15/2
decimal form: 7.5
mixed number form: 7 1/2
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Find the coordinates of point p that partition AB in the ratio 2:3 where A (-8,13) and B (2,-2)
Ray Of Light [21]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
A(-8,13)\qquad B(2,-2)\qquad
\qquad 2:3\textit{ from A to B}
\\\\\\
\cfrac{AP}{PB} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,13)=2(2,-2)\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\
-------------------------------

\bf P=\left(\cfrac{(3\cdot -8)+(2\cdot 2)}{2+3}\quad ,\quad \cfrac{(3\cdot 13)+(2\cdot -2)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-24+4}{5}~,~\cfrac{39-2}{5}  \right)

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3 years ago
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