josephgunnels
josephgunnels josephgunnels
  • 08-04-2022
  • Mathematics
contestada

(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.

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Ata258
Ata258 Ata258
  • 08-04-2022

Answer:

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

Step-by-step explanation:

distance between points is diameter

x^2=  (8--4)^2+(-7-9)^2

x^2=12^2+16^2

x^2=144+256

x^2=400

diameter x=20 so radius =10

center point =midpoint (-4+8)/2 and (-7+9)/2

center point =(2,1)

(x-2)^2+(y-1)^2 = 10^2

(x-2)^2+(y-1)^2 = 100

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