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Andre45 [30]
3 years ago
12

A segment has endpoints with coordinates (a,2b) and (-3a,4b). write the coordinates of the midpoint of the segment in terms of a

and b
Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0
Given any 2 point P(m,n) and Q(k,l),

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=(  \frac{m+k}{2} , \frac{n+l}{2}), 



Thus, given the points with coordinates <span>(a,2b) and (-3a,4b), 
</span>
the midpoint is 

( \frac{a+(-3a)}{2} ,  \frac{2b+4b}{2} )=( \frac{-2a}{2} ,  \frac{6b}{2} )=(-a, 3b)


Answer: (-a, 3b)
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