Respuesta :
Answer: Length of RS = 13
Step-by-step explanation: Segment is a line connecting two points.
Length or Distance of a segment is the distance between these two points and is calculated as:
[tex]d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]
For the line RS:
[tex]d=\sqrt{[1-(-4)]^{2}+[9-(-3)]^{2}}[/tex]
[tex]d=\sqrt{(1+4)^{2}+(9+3)^{2}}[/tex]
[tex]d=\sqrt{(5)^{2}+(12)^{2}}[/tex]
[tex]d=\sqrt{25+144}[/tex]
[tex]d=\sqrt{169}[/tex]
d = 13
The length of segment RS is 13 units.
