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Igoryamba
11 months ago
7

Find ST if S(-3, 10) and T(-2, 3)

Mathematics
1 answer:
FrozenT [24]11 months ago
3 0

We have the following points and their coordinates:

\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}

We must compute the distance ST between them.

The distance ST between the two points is given by:

ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},

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:

\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}

Answer: ST = √50

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