Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a circle tangent to the line x+y=5.
Hint
What is the slope of the tangent line?
How must that slope relate to the radius of the circle?
How must that slope relate to the radius of the circle?
Answer
Many solutions.
Some possibilities: (x-0)^2+(y-1)^2=8; (x-0)^2+(y-3)^2=2; (x-9)^2+(y-0)^2=8; (x-6)^2+(y-3)^2=2
Some possibilities: (x-0)^2+(y-1)^2=8; (x-0)^2+(y-3)^2=2; (x-9)^2+(y-0)^2=8; (x-6)^2+(y-3)^2=2
Source: Linnea Reyes-LaMon