georgephillips5730 georgephillips5730
  • 11-10-2022
  • Mathematics
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Answers:A.(a,-2b)B.(-a,2b)C.(-a,-2b)D.(a,2b)

AnswersAa2bBa2bCa2bDa2b class=

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certifiedtino2965 certifiedtino2965
  • 11-10-2022

Midpoint formula

[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

where (x1, y1) and (x2, y2) are two points and (xm, ym) are the coordinates of the midpoint between (x1, y1) and (x2, y2).

In this case, we want to find the coordinates of the midpoint between Y(0, -4b) and Z(-2a, 0). Substituting into the above formula:

[tex]\begin{gathered} (x_m,y_m)=(\frac{0+(-2a)}{2},\frac{-4b+0}{2}) \\ (x_m,y_m)=(\frac{-2a}{2},\frac{-4b}{2}) \\ (x_m,y_m)=(-a,-2b) \end{gathered}[/tex]

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