Question

Find the length of the segment with endpoints at (3,-2) and (-1,5). Roundyour answer to the nearest tenth. (1 decimal place)

Answer 1

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:

`D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

If the endpoints are (3,-2) and (-1,5):

x₁ = 3, y₁ = -2, x₂ = -1, y₂ = 5

Substituting these coordinates into the formula above:

`\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}`

The length of the segment = 8.1 units