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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 249 (page 1156)

In the following exercise, find the midpoint of the line segments whose endpoints are given: $(3, 7)$ and $(5, 1)$ .

Short Answer

Expert verified

$(4, 4)$

Step by step solution

01

Step 1. Given information.

The endpoints of the line segment are $(3, 7)$ and $(5, 1)$ .

02

Step 2. Finding the midpoint.

The midpoint of the line segment whose endpoints are $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

In this case, substituting the values, the midpoint becomes

$(\frac{3 + 5}{2}, \frac{7 + 1}{2}) = (4, 4)$

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Most popular questions from this chapter

Simplify:

$(a) \sqrt[3]{- 625} (b) \sqrt[4]{- 324} .$

In the following exercises, simplify using absolute value signs as needed. $\sqrt{n^{21}}, \sqrt[3]{q^{8}}, \sqrt[8]{n^{10}}$

In the following exercises, divide the rational expressions.

$\frac{p^{3} + q^{3}}{3 p^{2} + 3 p q + 3 q^{2}} \div \frac{p^{2} - q^{2}}{12}$

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(a) $\sqrt{\frac{27 p^{2} q}{108 p^{4} q^{3}}}$

(b) $\sqrt[3]{\frac{16 c^{5} d^{7}}{250 c^{2} d^{2}}}$

(c) $\sqrt[6]{\frac{2 m^{9} n^{7}}{128 m^{3} n}}$

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