Question

Find the length of each segment with the given endpoints
(3, -2) and (-4, 7)

Answer 1

Exact Distance:
`√(130)` units

Approximate Distance: 11.4018 units

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Step-by-step explanation:

Use the distance formula to have the following steps

`(x_1,y_1) = (3,-2) \text{ and } (x_2, y_2) = (-4,7)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((3-(-4))^2 + (-2-7)^2)\\\\d = √((3+4)^2 + (-2-7)^2)\\\\d = √((7)^2 + (-9)^2)\\\\d = √(49 + 81)\\\\d = √(130)\\\\d \approx 11.4018\\\\`

The exact distance is
`√(130)` units

This approximates to about 11.4018 units.