Chapter 13: Q. 10 (page 526)

Find the distance between the points named. Use any method you choose.
(-2, -2) and (5, 7)

Short Answer

Expert verified

The distance is $\sqrt{130}$ .

Step by step solution

Step-1 – Given

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

Step-2 – To determine

We have to find the distance between the two points.

Step-3 – Calculation

$L e t (x_{1}, y_{1}) = (- 2, - 2) and (x_{2}, y_{2}) = (5, 7)$ .

Using the distance formula $d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} [d = distance]$ we get:

$\begin{array}{l} d = \sqrt{{(5 - (- 2))}^{2} + {(7 - (- 2))}^{2}} \\ d = \sqrt{{(5 + 2)}^{2} + {(7 + 2)}^{2}} \\ d = \sqrt{{(7)}^{2} + {(9)}^{2}} \\ d = \sqrt{49 + 81} \\ d = \sqrt{130} \end{array}$

Hence, the required distance is $\sqrt{130}$ .

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 between the points named. Use any method you choose.
(-2, -2) and (5, 7)

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

Theoretical and Mathematical Physics

Decision Maths

Geometry

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the distance between the points named. Use any method you choose.(-2, -2) and (5, 7)

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

Theoretical and Mathematical Physics

Decision Maths

Geometry

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find the distance between the points named. Use any method you choose.
(-2, -2) and (5, 7)