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lesya692
2 months ago
11

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

Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
6 0

Answer:

The length of segment ST is 7.07 units.

Step-by-step explanation:

* Here's how to calculate segment length

- For endpoints (x_{1},y_{1}) and (x_{2},y_{2}), use the distance formula

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

* Solve the problem

Given segment ST, with points:

S = (-3, 10)

T = (-2, 3)

* Label S as (x_{1},y_{1}) and T as (x_{2},y_{2})

Calculate the differences:

x_{1}=-3 and x_{2}=-2

Calculate the squares:

y_{1}=10 and y_{2}=3

* Apply the distance formula:

ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}

Which simplifies to:

ST=\sqrt{(1)^{2}+(-7)^{2}}

And finally:

ST=\sqrt{1+49}

Therefore, the segment length:

ST=\sqrt{50}

ST = 7.07 units

Svet_ta [12.7K]2 months ago
5 0

Answer:

7.07 units

Step-by-step explanation:

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