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# Last ones.

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2  These are (hopefully) the last ones I need help with. I have over 100 questions and I'm just having a difficult time. Sorry.

May 20, 2019

#2
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Second one: point  P  =  (-7, 3)

point  Q  =  (2, 1)

 _____Ratio_____ Coordinates 2:7 x-coordinate  =  $$-7+\frac{2}{2+7}\cdot|-7-2|\,=\,-7+\frac29\cdot9\,=\,-7+2\,=\,-5$$ y-coordinate  =  $$3-\frac{2}{2+7}\cdot|3-1|\,=\,3-\frac29\cdot2\,=\,3-\frac49\,=\,\frac{23}{9}$$ 3:5 x-coordinate  =  $$-7+\frac{3}{3+5}\cdot|-7-2|\,=\,-7+\frac38\cdot9\,=\,-7+\frac{27}{8}\,=\,-\frac{29}{8}$$ y-coordinate  =  $$3-\frac{3}{3+5}\cdot|3-1|\,=\,3-\frac38\cdot2\,=\,3-\frac34\,=\,\frac94$$

It looks like you have found the same coordinates out to the side? May 20, 2019

#1
+3

First one

SU  = LN   = sqrt [ (8 - 0)^2 + (6 - 0)^2 ]   =   sqrt [ 64 + 36 ]  =   sqrt [ 100 ]  = 10

And

TV   = MP  =   sqrt [ (6 - 2)^2 + ( 4 - 2)^2 ]   =  sqrt [ 4^2 + 2^2 ]  =  sqrt [20 ]   =  2sqrt ( 5)

"D" would be correct except that I think the answer for TV is incorrect   May 20, 2019
#2
+3

Second one: point  P  =  (-7, 3)

point  Q  =  (2, 1)

 _____Ratio_____ Coordinates 2:7 x-coordinate  =  $$-7+\frac{2}{2+7}\cdot|-7-2|\,=\,-7+\frac29\cdot9\,=\,-7+2\,=\,-5$$ y-coordinate  =  $$3-\frac{2}{2+7}\cdot|3-1|\,=\,3-\frac29\cdot2\,=\,3-\frac49\,=\,\frac{23}{9}$$ 3:5 x-coordinate  =  $$-7+\frac{3}{3+5}\cdot|-7-2|\,=\,-7+\frac38\cdot9\,=\,-7+\frac{27}{8}\,=\,-\frac{29}{8}$$ y-coordinate  =  $$3-\frac{3}{3+5}\cdot|3-1|\,=\,3-\frac38\cdot2\,=\,3-\frac34\,=\,\frac94$$

It looks like you have found the same coordinates out to the side? hectictar May 20, 2019