Answer:
d=13.
Step-by-step explanation:
d=[tex]\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2}}[/tex]
From question statement, [tex]x_{1} =-3[/tex] ,[tex]x_{2} =9[/tex]
[tex]y_{1} =2[/tex] ,[tex]y_{2} =-3[/tex]
put above values in the distance formula,we obtain
d=[tex]\sqrt{(9-(-3))^{2}+(-3-2)^{2}}[/tex]
d=[tex]\sqrt{(12)^{2}+(-5)^{2}}[/tex]
d=[tex]\sqrt{144+25}[/tex]
d=[tex]\sqrt{169}[/tex]
d=13