MATH SOLVE

9 months ago

Q:
# A circle is centered at the point (5, -4) and passes through the point (-3, 2).The equation of this circle is (x +__ )^2 + (y +__ )^2 = __

Accepted Solution

A:

Answer:The answer to your question is (x - 5)² + (x + 4) = 100Step-by-step explanation:DataCenter = (5, -4)Point = (-3, 2)Process1.- Calculate the length of the radiusFormula d = [tex]\sqrt{(x2-x1)^{2} + (y2 - y1)^{2}}[/tex]Substitution d = [tex]\sqrt{(-3-5)^{2}+ (2 + 4)^{2}}[/tex]Simplification d = [tex]\sqrt{(-8)^{2}+ (6)^{2}}[/tex] d= [tex]\sqrt{64 + 36}[/tex] d = [tex]\sqrt{100}[/tex] d = 10 2.- Get the equation of the line h = 5 k = -4 r = 10 ( x - 5)² + (y + 4)² = 10²Simplification and result (x - 5)² + (x + 4) = 100