Answer:
ST = 7.07 units
Step-by-step explanation:
* Lets explain how to find the length of a segment
- The length of a segment whose endpoints are [tex](x_{1},y_{1})[/tex]
and [tex](x_{2},y_{2})[/tex] can be founded by the rule of the distance
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
* Lets solve the problem
∵ The line segment is ST
∵ S is (-3 , 10)
∵ T is (-2 , 3)
- Assume that S is [tex](x_{1},y_{1})[/tex] and T is [tex](x_{2},y_{2})[/tex]
∴ [tex]x_{1}=-3[/tex] and [tex]x_{2}=-2[/tex]
∴ [tex]y_{1}=10[/tex] and [tex]y_{2}=3[/tex]
- By using the rule above
∴ [tex]ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}[/tex]
∴ [tex]ST=\sqrt{(1)^{2}+(-7)^{2}}[/tex]
∴ [tex]ST=\sqrt{1+49}[/tex]
∴ [tex]ST=\sqrt{50}[/tex]
∴ ST = 7.07 units
