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andreyandreev [35.5K]
3 years ago
13

Please help ASAP 60 pts!

Mathematics
2 answers:
DiKsa [7]3 years ago
7 0

Answer:

  • (x - 1)² + (y - 1)² = 25

Step-by-step explanation:

<u>Find the center, the midpoint of the diameter:</u>

  • x = (4 - 2)/2 = 1, this is h of the circle equation
  • y = (-3 + 5)/2 = 1, his is k of the circle equation

<u>Find the square of the radius by distance formula:</u>

  • r² = (1 - 4)² + (1 + 3)² = 25

<u>Equation of the circle:</u>

  • (x - h)² + (y - k)² = r²,

<u>Substitute the values to get:</u>

  • (x - 1)² + (y - 1)² = 25
marissa [1.9K]3 years ago
3 0

Answer:

solution given:

points at (4, -3) and (-2, 5

diameter [d]=

d =  \sqrt{(4  + 2) {}^{2}  +( - 3 - 5) {}^{2}  }   \\ d = 10units \\ radius(r) = 5units

centre[h,k]={(4-2)/2,(-3+5)/2}=(1,1)

now equation of a circle

(x-h)²+(y-k)²=r²

(x-1)²+(y-1)²=25 is a required equation

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