Answer:
[tex]\sqrt{61}[/tex] (= 7.81 )
The distance between (-2,-3) and (3,3) is 7.81
Step-by-step explanation:
The distance between two points can be calculated using :
[tex]\sqrt{(X_{2}-X_{1})^{2} + (Y_{2}-Y_{1})^{2}}[/tex]
First point A = (-2,-3)
[tex]X_{1}[/tex] = -2
[tex]Y_{1}[/tex] = -3
Second Point B = (3,3)
[tex]X_{2}[/tex] = 3
[tex]Y_{2}[/tex] = 3
Insert the value of X and Y coordinates in the formula:
[tex]\sqrt{(X_{2}-X_{1})^{2} + (Y_{2}-Y_{1})^{2}}[/tex]
[tex]\sqrt{(3- (-2))^{2} + (3- (-3))^{2}}[/tex]
[tex]\sqrt{(3 + 2)^{2} + (3 + 3)^{2}}[/tex]
[tex]\sqrt{(5)^{2} + (6)^{2}}[/tex]
[tex]\sqrt{25 + 36}[/tex]
[tex]\sqrt{61}[/tex]
= 7.86
Distance between A and B is 7.81