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Confusedandlazy

Confusedandlazy

07.07.2019 •

Mathematics

Given st with midpoint (5,-8) and endpoint t(4,-6), find endpoint s.

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Ответ:

apple1367

11.03.2022

The formula of a midpoint:

$M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)$

We have:

$M(5,\ -8)\to x_M=5,\ y_M=-8\\T(4,\ -6)\to x_T=4,\ y_T=-6$

Substitute:

$\dfrac{x_S+4}{2}=5\qquad|\cdot2\\\\x_S+4=10\qquad|-4\\\\x_S=6\\\\\dfrac{y_S+(-6)}{2}=-8\qquad|\cdot2\\\\y_S-6=-16\qquad|+6\\\\y_S=-10$

(6, -10)

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Ответ:

gabrielaperezcz

16.11.2022

BFF

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