Question

The equation (x + 11)^2 + (y – 27)^2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance maps to (0, 0). If the positive x-axis represents east and the positive y-axis represents north, what is the location of the fountain relative to the park entrance?

11 yards east and 27 yards north

11 yards west and 27 yards north

11 yards east and 27 yards south

11 yards west and 27 yards south

Answer 1

Answer:

B

Step-by-step explanation:

Got it right on test

Answer 2

The location of the fountain relative to the park entrance is  11 yards west and 27 yards north, the correct option is B.

What is the standard equation of a circle?

The standard equation of a circle is given by

(x -h)² + (y-k)² = r²

The equation of the circular fountain is

(x + 11)² + (y – 27)² = 2.25

The center of the fountain is at ( -11,27)

The entrance is at (0,0)

The positive x axis denotes East and positive y axis denotes North

The location of the fountain is at 11 yards west and 27 yards north.

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