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The equation of a circle is (x + 4)2 + (y + 6)2 = 16. Determine the length of the radius.

10

4

16

8




My Flower Basket delivers flowers within a 20 mile radius of their store. If this area is represented graphically, with My Flower Basket located at (5, 2), what is the equation that represents the delivery area?

(x - 2)2 + (y - 5)2 = 20

(x - 5)2 + (y - 2)2 = 20

(x + 5)2 + (y + 2)2 = 400

(x - 5)2 + (y - 2)2 = 400

Respuesta :

Answer:

see explanation

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

(x + 4)² + (y + 6)² = 16 is in this form

with r² = 16 ⇒ r = [tex]\sqrt{16}[/tex] = 4

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given (h, k) = (5, 2) and r = 20, then

(x - 5)² + (y - 2)² = 400 ← represents the delivery area


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