Suppose Rebecca's house is located at the origin (0,0). Rebecca is currently located at the center of
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Question:
Suppose Rebecca's house is located at the origin (0,0). Rebecca is currently located at the center of the circle given by (x+ 1)2+ (y2)2= 25. Her children have been instructed to stay within the circle.
(a) Draw a picture to represent this situation.
(b) Can the children stay in their house and be within the circle? Support your answer algebraically.
(c) If the children go due West of their house, how far are they allowed to travel and still be within the circle as their mother has instructed?
(d) If the children wish to leave their house and meet their mother halfway to her current location, at what point will they meet?
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