What is the answer?

Question

Give all values as exact, simplified values. No decimal approximations, show all work.

1a. Find an equation for the set of points that are distance of 5 units from (10,8).

1b. Name 6 specific points that are a distance of 5 units from (10,8).

1c. Find all points that with x-coordinate 9 that are a distance of 5 units from (10,8).

Answer 1

1a.  The set of points is the circle of radius 5 with center (10,8).

 

      Equation:  (x-10)²+(y-8)²=25