Find the equation of a circle with a center of(5, 7) where a point on the circle is (10, 19)

(x - 5)² + (y - 7)² = 169

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

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

Here (h, k) = (5, 7), thus

(x - 5)² + (y - 7)² = r²

The distance from the centre to a point on the circle is the radius

Calculate the radius using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (5, 7) and (x₂, y₂ ) = (10, 19)

r =

  =

  = = = 13, hence

(x - 5)² + (y - 7)² = 169 ← equation of circle

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step-by-step explanation:

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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