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A segment with endpoints at $A(2, -2)$ and $B(14, 4)$ is extended through $B$ to point $C$. If $BC = \frac{1}{3} \cdot AB$, what are the coordinates for point $C$? Express your answer as an ordered pair.

 Jan 28, 2021
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A segment with endpoints at A(2,-2) and B(14,4) is extended through B to point C. If \(BC=\frac{1}{3}\cdot AB\), what are the coordinates for point C? Express your answer as an ordered pair.

 

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\(\Delta x_{AB}=14-2=12\\ \Delta y_{AB}=4-(-2)=6\)

\(x_C=x_B+\frac{1}{3}\ \Delta x_{AB}= 14+\frac{12}{3}=28\\ y_C=y_B+\frac{1}{3}\ \Delta y_{AB}=4+\frac{6}{3}=6\)

 

The coordinates for point C are C (28.6).

laugh  !

 Jan 29, 2021
edited by asinus  Jan 29, 2021

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