Mathematics
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OpenStudy (anonymous):
M is the midpoint of AB . The coordinates of A are (-2,3) and the coordinates of M are (1,0).
Find the coordinates of B.
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OpenStudy (ivettef365):
use midpoint formula
OpenStudy (anonymous):
I got (-1/2,3/2)
OpenStudy (anonymous):
@ivettef365
OpenStudy (ivettef365):
x1+x2
------
2
OpenStudy (ivettef365):
-2+1 -1
----- = ----
2 2
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OpenStudy (ivettef365):
y1+y2 3+0
------ = ==== = 3/2
2 2
OpenStudy (anonymous):
[1] (-1/2, 3/2) [2] (4,-3) [3] (-4,3) [4] (-5,6)
Those are the choices
OpenStudy (anonymous):
I picked one but its wrong
OpenStudy (ivettef365):
oh, because points M (1,0) are the midpoints
OpenStudy (anonymous):
So how would I do iy?
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OpenStudy (anonymous):
It*
OpenStudy (ivettef365):
use same formula
x1+x2 -2 +x
------ = ------- = 1
x 2
OpenStudy (anonymous):
Why is the answer (4,-3)
OpenStudy (ivettef365):
so that is equal to -2+x = 2, so x = 2+2
OpenStudy (ivettef365):
now solve for y
3 +y
==== = 0
2
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OpenStudy (ivettef365):
so you have 3+y=0, y=-3
OpenStudy (anonymous):
So where did the 4 come from?
OpenStudy (ivettef365):
you have -2+x
----- = 1
2
OpenStudy (anonymous):
I have no idea how you did any of this
OpenStudy (ivettef365):
first thing you do is multiply by 2 so you have
(2) -2+x
--- .----- = 1 . 2
1 2
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OpenStudy (ivettef365):
then you have -2+x=2
+2 +2
-------------
x=4
OpenStudy (ivettef365):
I used the midpoint formula, which is
x1 + x2
--------
2