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?
Answer
Many solutions.
Some possibilities: x^2+(y-1)^2=8; x^2+(y-3)^2=2; (x-9)^2+y^2=8; (x-6)^2+(y-3)^2=2
Some possibilities: x^2+(y-1)^2=8; x^2+(y-3)^2=2; (x-9)^2+y^2=8; (x-6)^2+(y-3)^2=2
Source: Linnea Reyes-LaMon
