d² = 4² + (-4)² = 32

d = 4 √2 cm

Distance between (x1,y1) and (x2,y2) is:

SQRT{(x2-x1)^2+(y2-y1)^2]

Coordinates (-2,2) and (2,-2)

Distance = SQRT[(-2-2)^2)+(2+2)^2]

= sqrt[16+16]

= sqrt[32]

= sqrt(16)sqrt(2)

= 4 sqrt(2)

Distance = 5.656854

d(u,v)=√((ux-vx)²+(uy-vy)²)=

=√((-4)²+(4)²)=√32=4√2