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Sagot :
Answer:
(x + 2)² + (y - 1)² = 25
Step-by-step explanation:
radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
r = 5
Circle: (x - h)² + (y - k)² = r²
center: (-2 , 1) h = -2 k = 1
(x + 2)² + (y - 1)² = 25
The equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Equation of a circle
The standard equation of a circle is expressed as:
(x-a)^2+(y-b)^2 = r^2
where:
(a, b) is the centre
r is the radius
Given the following parameters
(a, b) = (-2, 1)
r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25
Substitute into the formula to have:
(x-(-2))^2 + (x-1)^2 = 25
(x+2)^2 + (x-1)^2 = 25
Hence the equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25
Learn more om equation of a circle here: https://brainly.com/question/1506955
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