It’s ok I will try to figure out an answer
M=6/5 and n = sqrt(2), is rational (but not an integer) and n is irrational.
The case with n = sqrt(9)=3, is not a solution. The case with m=4pi neither.
The last case is m = 6/2=3, integer, so neither works.
So, it is the one with m=6/5 and sqrt(2)
Just for you beautiful!
Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)
Plug in and simplify
d = sqrt((-12 - 11)^2 + (-4 - -4)^2)
d = sqrt((-23)^2 + (0)^2)
d = sqrt(529 + 0)
d = sqrt(529)
d = 23 (positive because length cannot be negative) ;)
1/5
and for the other one
9/5
Subtract 7 from each side
x=12