Find the equation of a circle with the points (-3,8) and (7,6) at the end points of a diameter

(x - 2)² + (y - 7)² = 26

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The coordinates of the centre are at the midpoint of the endpoints of the diameter and the radius is the distance from the centre to either of the 2 endpoints

Find the centre using the midpoint formula

centre = [ (- 3 + 7), (8 + 6)] = (2, 7)

to find the radius use the distance formula

r = √(x₂ - x₁)² + (y₂ - y₁)²

with (x₁, y₁ ) = 2, 7) and (x₂, y₂ ) = (7, 6)

r = = =

centre (2, 7 ) and r² = ()² = 26, hence

(x - 2)² + (y - 7)² = 26 ← equation of circle

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step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.