kimberlya3540 kimberlya3540
  • 01-10-2021
  • Mathematics
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The midpoint of AB is M(1, 3). If the coordinates of A are(4,1), what are the coordinates of B?

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namwanjemacklineeliz
namwanjemacklineeliz namwanjemacklineeliz
  • 04-10-2021

Answer:

B(-2,5)

Step-by-step explanation:

[tex] \frac{x + 4}{2} = 1 \\ 2 \times \frac{x + 4}{2} = 1 \times 2 \\ x + 4 = 2 \\ x = 2 - 4 \\ x = - 2 \\ \frac{y + 1}{2} = 3 \\ 2 \times \frac{y + 1}{2} = 3 \times 2 \\ y + 1 = 6 \\ y = 6 - 1 \\ y = 5[/tex]

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