Homework Help is Here – Start Your Trial Now!
Math
Algebra
Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A. (r, x) O B. (x, r) O C. (-z, 0) O D. (2x, 2r)

Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A. (r, x) O B. (x, r) O C. (-z, 0) O D. (2x, 2r)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Topic Video
Question
**Problem: Finding the Midpoint of a Line Segment** **Given Points:** - \( P(x - z, r) \) - \( Q(x + z, r) \) **Task:** Find the coordinates of the midpoint of the line segment \( PQ \). **Options:** - A. \( (r, x) \) - B. \( (x, r) \) - C. \( (-z, 0) \) - D. \( (2x, 2r) \) **Solution:** To find the midpoint \((M)\) of the line segment connecting two points \((x_1, y_1)\) and \((x_2, y_2)\), use the midpoint formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substitute the given coordinates of \(P\) and \(Q\) into this formula: \[ M = \left( \frac{(x - z) + (x + z)}{2}, \frac{r + r}{2} \right) \] Simplify: \[ M = \left( \frac{x - z + x + z}{2}, \frac{2r}{2} \right) \] \[ M = \left( \frac{2x}{2}, r \right) \] \[ M = (x, r) \] **Correct Answer:** - B. \( (x, r) \)
Transcribed Image Text:**Problem: Finding the Midpoint of a Line Segment** **Given Points:** - \( P(x - z, r) \) - \( Q(x + z, r) \) **Task:** Find the coordinates of the midpoint of the line segment \( PQ \). **Options:** - A. \( (r, x) \) - B. \( (x, r) \) - C. \( (-z, 0) \) - D. \( (2x, 2r) \) **Solution:** To find the midpoint \((M)\) of the line segment connecting two points \((x_1, y_1)\) and \((x_2, y_2)\), use the midpoint formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substitute the given coordinates of \(P\) and \(Q\) into this formula: \[ M = \left( \frac{(x - z) + (x + z)}{2}, \frac{r + r}{2} \right) \] Simplify: \[ M = \left( \frac{x - z + x + z}{2}, \frac{2r}{2} \right) \] \[ M = \left( \frac{2x}{2}, r \right) \] \[ M = (x, r) \] **Correct Answer:** - B. \( (x, r) \)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS