Respuesta :

Answer:

the distance between (-5,5) and (3,-3) is

Step-by-step explanation:

the distance formula is d=[tex]\sqrt{(x^2-x^1 )^2+(y^2-y^1)^2\\[/tex]

step on plug in:

x1=-1

x2=3

y1=5

y2=-3

[tex]\sqrt{(-5-3 )^2+(5-(-3)^2\\[/tex]

step 2 solve it:

=[tex]\sqrt{(-8 )^2+(8)^2\\[/tex]

= -8x-8= +64      8x8=16

=[tex]\sqrt{64+64\\[/tex]= [tex]\sqrt{128[/tex]

when reduced it's= [tex]8\sqrt{2}[/tex] or 11.31 <--- thats the answer