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Anna35 [415]
3 years ago
11

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

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

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 (x_{1},y_{1})

  and (x_{2},y_{2}) can be founded by the rule of the distance

  d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

* Lets solve the problem

∵ The line segment is ST

∵ S is (-3 , 10)

∵ T is (-2 , 3)

- Assume that S is (x_{1},y_{1}) and T is (x_{2},y_{2})

∴ x_{1}=-3 and x_{2}=-2

∴ y_{1}=10 and y_{2}=3

- By using the rule above

∴ ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}

∴ ST=\sqrt{(1)^{2}+(-7)^{2}}

∴ ST=\sqrt{1+49}

∴ ST=\sqrt{50}

∴ ST = 7.07 units

Oksana_A [137]3 years ago
5 0

Answer:

7.07 units

Step-by-step explanation:

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