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Sagot :
We have the following points and their coordinates:
[tex]\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}[/tex]We must compute the distance ST between them.
The distance ST between the two points is given by:
[tex]ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},[/tex]where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
[tex]\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}[/tex]Answer: ST = √50
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