Chapter 1: Q. 44 (page 15)

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (a, a); P_{2} = (0, 0)$

Short Answer

Expert verified

The distance between the points is $d = a \sqrt{2}$ .

Step by step solution

Step 1. Given information.

Find the distance between the points.

$P_{1} = (a, a); P_{2} = (0, 0)$

Step 2. Substitute the values in the formula.

The length of the line segment is the distance between the points $P_{1} = (x_{1}, y_{1}) = (a, a) and P_{2} = (x_{2}, y_{2}) = (0, 0)$ .Using the distance formula with $x_{1} = a, y_{1} = - a, x_{2} = 0, and y_{2} = 0$ , the length d is

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{2})}^{2}} d = \sqrt{{(0 - a)}^{2} + {(0 - a)}^{2}} d = \sqrt{a^{2} + a^{2}} d = \sqrt{2 a^{2}} d = a \sqrt{2}$

Step 3. Conclusion.

The distance between the points is $a \sqrt{2}$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (a, a); P_{2} = (0, 0)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Decision Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the distance d(P1,P2)between the points P1andP2.P1=(a,a);P2=(0,0)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Substitute the values in the formula.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Decision Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .
$P_{1} = (a, a); P_{2} = (0, 0)$