abecroft abecroft
  • 15-06-2020
  • Mathematics
contestada

Find the endpoint of the line segment with the given endpoint and midpoint.

Find the endpoint of the line segment with the given endpoint and midpoint class=

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devishri1977
devishri1977 devishri1977
  • 15-06-2020

Answer:

Step-by-step explanation:

[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})=(6,2)\\\\(\frac{x_{1}+6}{2},\frac{y_{1}-5}{2})=(6,2)\\\\[/tex]

Compare the x and y values

[tex]\frac{x_{1}+6}{2}= 6[/tex]           ;    [tex]\frac{y_{1}-5}{2}=2[/tex]

x₁ + 6 = 6*2     ;   y₁ - 5 = 2*2

x₁ + 6 = 12       ;   y₁ - 5 = 4

x₁ = 12 - 6       ;     y₁  = 4 + 5

x₁ = 6               ; y₁ = 9

Endpoint (6,9)

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