Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
You want to use the distance formula: d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
so, to start, fill in what you know. [tex]\sqrt{(-3 - -2)^{2}+ (-1 - 0)^{2} }[/tex]
now we are going to simplify what we have. if you have minus a negative number, the negatives cancel out, and sow we actually add -3 and the --2 turns into 2. (so -3 + 2)
[tex]\sqrt{(-1)^{2}+ (-1)^{2} }[/tex]
now we can square these [tex]\sqrt{1+1}[/tex]
and now we have to keep going and we get this: [tex]\sqrt{2}[/tex]
so the distance between the two points is [tex]\sqrt{2}[/tex]!
