If x= 1 5 , y= 1 10 , where 0 x 2 , 0 y 2 then what is (x+y) equal to?

Step-by-step solution

aligned & x= 1 5 , y= 1 10 , 0 x 2 , 0 y 2 & x= 1- ^2 x & y= 1- ^2 y & x= 1- 1 5 & y= 1- 1 10 aligned aligned & x= 4 5 = 2 5 & y= 9 10 = 3 10 & (x+y)= x y+ x y & = 1 5 3 10 + 2 5 1 10 & = 5 5 10 = 5 5 5 10 = 5 10 = 1 2 = 1 2 & x+y= ⁻¹ ( 1 2 )= 4 aligned