BeccaT474092 BeccaT474092
  • 03-11-2022
  • Mathematics
contestada

2. FR has a midpoint M. Use the given information to find the missing endpoint. F(-2,3) and M(3,0)

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AzeemC121193 AzeemC121193
  • 03-11-2022

ANSWER:

R(8, -3)

STEP-BY-STEP EXPLANATION:

We have that the midpoint formula is the following:

[tex]M(m_1,m_2)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

In this case, we know the midpoint M, that is, m1 and m2 and the startpoint F, that is, we know, x1 andy1, we replace to calculate the values of R, the endpoint:

[tex]\begin{gathered} 3=\frac{-2+x_2}{2} \\ 6=-2+x_2 \\ x_2=6+2=8 \\ \\ 0=\frac{3+y_2}{2} \\ 0=3+y_2 \\ y_2=-3 \\ \\ \text{Therefore, the missing endpoint is: (8,-3)} \end{gathered}[/tex]

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