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Can you help me with this assignment

Sagot :

the formula of the midpoint is

[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

A are (-3,4) --> (x1,y1)

B are (x2,y2)

we can repalce A and the midpoint and the formula

[tex](\frac{-3+x2}{2},\frac{4+y2}{2})=(-5,2)[/tex]

and we can equal each coordinate to find x2 and y2

first x2

[tex]\begin{gathered} \frac{-3+x2}{2}=-5 \\ \\ -3+x2=-5\times2 \\ x2=-10+3 \\ x2=13 \end{gathered}[/tex]

now y2

[tex]\begin{gathered} \frac{4+y2}{2}=2 \\ \\ 4+y2=2\times2 \\ y2=4-4 \\ y2=0 \end{gathered}[/tex]

so B is

[tex](13,0)[/tex]