Answer: d = 9[tex]\sqrt{5}[/tex]
Step-by-step explanation:
The formula for finding distance between two points is given by :
d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = -5
[tex]x_{2}[/tex] = 13
[tex]y_{1}[/tex] = -4
[tex]y_{2}[/tex] = 5
substituting into the formula , we have
d = [tex]\sqrt{(13-(-5))^{2}+(5-(-4))^{2}}[/tex]
d = [tex]\sqrt{(13+5)^{2}+(5+4)^{2}}[/tex]
d = [tex]\sqrt{(18)^{2}+(9)^{2}}[/tex]
d = [tex]\sqrt{324 + 81}[/tex]
d = [tex]\sqrt{405}[/tex]
d = 9[tex]\sqrt{5}[/tex]
