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Q. 28

Expert-verifiedFound in: Page 616

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**Find the midpoint of the segment with the given endpoints.**

**$\left(-16,\text{\hspace{0.33em}}-5\right),\text{\hspace{0.33em}}\left(5,\text{\hspace{0.33em}}5\right)$**

The midpoint of the segment with the endpoints $\left(-16,-5\right),\left(5,5\right)$is $\left(-\frac{11}{2},0\right)$.

The given endpoints are$\left(-16,-5\right),\left(5,5\right)$

The midpoint of the segment with the endpoints$\left({x}_{1},{y}_{1}\right),\left({x}_{2},{y}_{2}\right)$ is$\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)$.

To find midpoint of the segment, substitute$\left({x}_{1},{y}_{1}\right)=\left(-16,-5\right)$ and$\left({x}_{2},{y}_{2}\right)=\left(5,5\right)$ into the midpoint formula then simplify it.

$\begin{array}{c}\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)=\left(\frac{-16+5}{2},\frac{-5+5}{2}\right)\\ \left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{1}+{y}_{2}}{2}\right)=\left(-\frac{11}{2},0\right)\end{array}$

The midpoint of the segment with the endpoints$\left(-16,-5\right),\left(5,5\right)$ is$\left(-\frac{11}{2},0\right)$.

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