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1 month ago

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

Mathematics

2 answers:

PIT_PIT [12.4K]1 month 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]1 month ago

5 0

Answer:

7.07 units

Step-by-step explanation:

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