1) A gardener wants to plant flowers 10 feet form the base of a flag pole. When he has completed the task, describe in detail what geometric shape the planted flowers will form?
2) Describe the locus of points 5 units from the line whose equation is y=3 on a coordinate graph. Write the equation(s)of the locus.
1. Flowers all planted 10 feet from the base of a pole will form a circle. It is like taking a string 10' long, anchoring at the pole, and moving the opposite end wherever it will go.
2. Y = 3 gives you a horizontal line. Y = 8 or -2 will give you parallel lines 5 units away from the original line. X can be of any value.
I hope this helps. Thanks for asking.