Question

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11). A. length = 11.18, midpoint = (–5.5, 1) B. length = 11.18, midpoint = (–9.5, 10) C. length = 26.17, midpoint = (–5.5, 1) D. length = 26.17, midpoint = (–9.5, 10

Answer 1

The length is given by the distance formula

$d = \sqrt{(-4 - -15)^2 + (11 - 9)^2} = \sqrt{11^2 + 2^2}=\sqrt{125}=5 \sqrt{5}$

So the pedantic answer is none of the above; they want us to approximate.

$d \approx 11.18$

The midpoint is the average of the coordinates:

$\left( \dfrac{-15 + -4}{2}, \dfrac{9 + 11}{2} \right) = \left( -\dfrac{19}{2}, 10 \right)$

Choice B