i65y2m5fex i65y2m5fex
  • 06-04-2022
  • Mathematics
contestada

A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
O-8-10i
O -4 – 5i
O -2- 6i
O 2 +i

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jimrgrant1 jimrgrant1
  • 06-04-2022

Answer:

- 4 - 5i

Step-by-step explanation:

The centre of the circle is the average of the endpoints

centre = (- 2 + i - 6 - 11i ) ÷ 2

          = (- 8 - 10i ) ÷ 2

         = - 4 - 5i

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