A rose garden has two intersecting circular paths with a fountain in the center of the longer path The paths can be represented by the equations x 2 y 2 20x 75 0 and x 2 y 2 100 (all distances in meters) with the fountain at the origin What are (a) The closest (b) The farthest the shorter path is to the fountain (c) How far apart are the intersections of the paths See Fig 21 41 F Fig 21 41

Question: A rose garden has two intersecting circular paths with a fountain in the center of the longer path. The paths can be represented by the

A rose garden has two intersecting circular paths with a fountain in the center of the longer path. The paths can be represented by the equations x² + y² − 20x + 75 = 0 and x² + y² = 100 (all distances in meters) with the fountain at the origin. What are

(a) The closest

(b) The farthest the shorter path is to the fountain?

F Fig. 21.41

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