/*! 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 12 Find the distance between each p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 12

Find the distance between each pair of points. If necessary, round answers to two decimals places. $$ (0,-\sqrt{3}) \text { and }(\sqrt{5}, 0) $$

Short Answer

Expert verified
The distance between the given points is approximately 2.83 when rounded to two decimal places.

Step by step solution

01

Identifying the coordinates

Firstly, identify the coordinates of the two points: point A is (0, -鈭�3), so \(x_1 = 0\) and \(y_1 = -\sqrt{3} \). Point B is (鈭�5, 0), so \(x_2 = \sqrt{5} \) and \(y_2 = 0 \)
02

Applying the distance formula

Plug these coordinates into the distance formula \(d = \sqrt{(x_2 - x_1 )^2 + (y_2 - y_1)^2}\). After inserting the values, get \[d = \sqrt{(\sqrt{5} - 0 )^2 + (0 - - \sqrt{3})^2 }\]
03

Simplifying the expression

After simplifying the above expression, you get \(d = \sqrt{5 + 3 }\) which simplifies to \(d = \sqrt{8}\)
04

Rounding to two decimal places

When you calculate the approximate value for \(\sqrt{8}\), you'll find it's approximately equal to 2.83 when rounded to two decimal places

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

You will be developing functions that model given conditions. A car was purchased for \(\$ 22,500 .\) The value of the car decreases by \(\$ 3200\) per year for the first six years. Write a function that describes the value of the car, \(V\), after \(x\) years, where \(0 \leq x \leq 7 .\) Then find and interpret \(V(3)\)

Begin by graphing the square root function, \(f(x)=\sqrt{x} .\) Then use transformations of this graph to graph the given function. $$ h(x)=-\sqrt{x+2} $$

Consult an almanac, newspaper, magazine, or the Internet to find data displayed in a graph.$ Using the two graphs that group members find most interesting, introduce two functions that are related to the graphs. Then write and solve a problem involving function subtraction for each selected graph.

Begin by graphing the standard quadratic function, \(f(x)=x^{2} .\) Then use transformations of this graph to graph the given function. $$ g(x)=\frac{1}{2}(x-1)^{2} $$

Begin by graphing the standard quadratic function, \(f(x)=x^{2} .\) Then use transformations of this graph to graph the given function. $$ g(x)=x^{2}-2 $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

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.