Respuesta :
Answer:
The length of the segment = 8.1 units
Explanations:The length of the segments with endpoints (x₁, y₁) and (x₂, y₂) is given by the equation:
[tex]D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]If the endpoints are (3,-2) and (-1,5):
x₁ = 3, y₁ = -2, x₂ = -1, y₂ = 5
Substituting these coordinates into the formula above:
[tex]\begin{gathered} D\text{ = }\sqrt[]{(-1-3)^2+(5-(-2))^2} \\ D\text{ = }\sqrt[]{(-4)^2+(7)^2} \\ D\text{ = }\sqrt[]{16+49} \\ D\text{ = }\sqrt[]{65} \\ D\text{ = }8.1 \end{gathered}[/tex]The length of the segment = 8.1 units
