amaryllis amaryllis
  • 19-05-2017
  • Mathematics
contestada

Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle.

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 25-03-2020

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We have everything we need to fill this in and solve for the radius.

[tex](-7-(-1))^2+(-5-(-3))^2=r^2[/tex]  and

[tex](-7+1)^2+(-5+3)^2=r^2[/tex]  and

[tex](-6)^2+(-2)^2=r^2[/tex] so

[tex]r^2=40[/tex]

Now we can write the equation using the center and the radius we just found:

[tex](x+1)^2+(y+3)^2=40[/tex]

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