Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 10: Q 22 (page 789)

Find the distance between the points (4, 0) and (-5, 12)

Short Answer

Expert verified

The required distance is 15.

Step by step solution

Given information

The given points are (4, 0) and (-5, 12)

Finding the distance

The distance between the given points is:

$\sqrt{{(- 5 - 4)}^{2} + {(12 - 0)}^{2}}$

Simplify:

$\sqrt{81 + 144}$

Simplify further

$15$

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!

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

In Exercises 37–42, find $||v||$ and find the unit vector in the direction of v.

$v = <\frac{\sqrt{2}}{2}, \frac{1}{2}, \frac{1}{2}>$

In Exercises 36–41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

$P (1, 6), Q (0, - 3), R (- 5, 4)$

(Hint: Think of the $x y$ -plane as part of $ℝ^{3}$ .)

Find $u + v$ and $u - v$ . Also sketch $u, v, u + v$ and $u - v$ .

role="math" localid="1649578020551" $u = (3, - 4) a n d v = (- 1, 5)$

Find a vector of length 3 that points in the direction opposite to $<1, - 2, 3>$ .

Find $\vec{P Q}$ .

$P = (3, 6), Q = (- 3, - 2)$

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Find the distance between the points (4, 0) and (-5, 12)

Short Answer

Step by step solution

Given information

Finding the distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Discrete Mathematics

Geometry

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Company

Product

Help