Chapter 13: Q. 5 (page 526)

Use the distance formula to find the distance between the two points.
(-6, -2) and (-7, -5)

Short Answer

Expert verified

The distance is $\sqrt{10}$ .

Step by step solution

Step-1 – Given

The given points are (-6, -2) and (-7, -5).

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

Step-3 – Calculation

Let $(x_{1}, y_{1}) = (- 6, - 2) and (x_{2}, y_{2}) = (- 7, - 5)$ .

Using the distance formula

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} [d = distance] Weget$

$\begin{array}{l} d = \sqrt{{(- 7 - (- 6))}^{2} + {(- 5 - (- 2))}^{2}} \\ d = \sqrt{{(- 7 + 6)}^{2} + {(- 5 + 2)}^{2}} \\ d = \sqrt{{(- 1)}^{2} + {(- 3)}^{2}} \\ d = \sqrt{1 + 9} \\ d = \sqrt{10} \end{array}$

Hence, the required distance is $\sqrt{10}$ .

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.

Use the distance formula to find the distance between the two points.
(-6, -2) and (-7, -5)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Use the distance formula to find the distance between the two points.(-6, -2) and (-7, -5)

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Use the distance formula to find the distance between the two points.
(-6, -2) and (-7, -5)