Question

Find ST, where the endpoints S(-5,-1) and T(-2,3). Leave answer exact

Answer 1

Answer:

ST = 5

Step-by-step explanation:

Calculate ST using the distance formula

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

with )x₁, y₁ ) = S(- 5, - 1) and (x₂, y₂ ) = T(- 2, 3)

ST = $\sqrt{(-2+5)^2+(3+1)^2}$

     = $\sqrt{3^2+4^2}$

    = $\sqrt{9+16}$

     = $\sqrt{25}$

      = 5