/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 8 (a) plot the points, (b) find th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 8

(a) plot the points, (b) find the distance between the points, and (c) find the midpoint of the line segment joining the points. \(\left(-\frac{1}{3},-\frac{1}{3}\right),\left(-\frac{1}{6},-\frac{1}{2}\right)\)

Short Answer

Expert verified
The distance between points is approximately \(0.204\), and the midpoint is the point \(-\frac{1}{4},-\frac{5}{12}\).

Step by step solution

01

Plot the points

Plot the points on a coordinate plane. The points are \(-\frac{1}{3},-\frac{1}{3}\) and \(-\frac{1}{6},-\frac{1}{2}\).
02

Find the distance between the points

By using the distance formula \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\), compute the distance between \(-\frac{1}{3},-\frac{1}{3}\) and \(-\frac{1}{6},-\frac{1}{2}\). Substitute and simplify to find the distance.
03

Find the midpoint of the line

Apply the midpoint formula \(\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\) to find the midpoint between the points \(-\frac{1}{3},-\frac{1}{3}\) and \(-\frac{1}{6},-\frac{1}{2}\). Substitute the values and simplify to find the midpoint.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Evaluate the function for \(f(x)=2 x+1\) and \(g(x)=x^{2}-2\) \((f+g)(t-1)\)

In Exercises \(5-8\), find the inverse function informally. Verify that \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\). \(f(x)=2 x\)

Evaluate the function for \(f(x)=2 x+1\) and \(g(x)=x^{2}-2\) \(\left(\frac{f}{g}\right)(-1)-g(3)\)

In Exercises \(5-8\), find the inverse function informally. Verify that \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\). \(f(x)=-\frac{x}{4}\)

Describe the sequence of transformations from \(f(x)=\sqrt[3]{x}\) to \(y\). Then sketch the graph of \(y\) by hand. Verify with a graphing utility. \(y=\sqrt[3]{x+1}\)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.