Thunderalesis9948 Thunderalesis9948
  • 24-02-2018
  • Mathematics
contestada

Find an equation for the circle that has center (−1, 4) and passes through the point (3, −5).

Respuesta :

calculista
calculista calculista
  • 05-03-2018
we know that
center (−1, 4)  and  passes through the point (3, −5)

the value for the radius is,
using the Distance Formula---------r=
√(4+5)²+(-1-3)²=√(9²+(-4)²
r=√97
equation for a standard form for a circle
(x-h)
²+(y-k)²=r²
the center is (h,k)-----------> (-1,4)
(x+1)²+(y-4)²=(√97)²---------------> (x+1)²+(y-4)²=97

the answer is
(x+1)²+(y-4)²=97

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