Chapter 11: Q3. (page 734)

Find the distance between $(3, - 6)$ and $(1, 4)$ on a coordinate grid. Round to the nearest tenth.
$8.1$
$8.5$
$9.6$
$10.2$

Short Answer

Expert verified

Option D is the correct answer.

Step by step solution

Step 1. Define the coordinates of a point.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

Step 2. Determine the distance between two points x1, y1 and x2, y2 on a coordinate grid.

The distance between the two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is

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

Step 3. Determine the distance between two points 3, −6 and 1, 4 on a coordinate grid.

Use (1).

The distance between the two points $(3, - 6)$ and $(1, 4)$ is

$= \sqrt{{(1 - 3)}^{2} + {(4 - (- 6))}^{2}} = \sqrt{{(- 2)}^{2} + {(4 + 6)}^{2}} = \sqrt{{(- 2)}^{2} + {(10)}^{2}} = \sqrt{4 + 100} = \sqrt{104} \approx 10.2$

Hence, the distance between the two points $(3, - 6)$ and $(1, 4)$ on a coordinate grid is 10.2.

Therefore option D is the correct answer.

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 $(3, - 6)$ and $(1, 4)$ on a coordinate grid. Round to the nearest tenth.
$8.1$
$8.5$
$9.6$
$10.2$

Short Answer

Step by step solution

Step 1. Define the coordinates of a point.

Step 2. Determine the distance between two points x1, y1 and x2, y2 on a coordinate grid.

Step 3. Determine the distance between two points 3, −6 and 1, 4 on a coordinate grid.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Mechanics Maths

Applied Mathematics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find the distance between3, −6 and1, 4 on a coordinate grid. Round to the nearest tenth.8.18.59.610.2

Short Answer

Step by step solution

Step 1. Define the coordinates of a point.

Step 2. Determine the distance between two points x1, y1 and x2, y2 on a coordinate grid.

Step 3. Determine the distance between two points 3, −6 and 1, 4 on a coordinate grid.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Mechanics Maths

Applied Mathematics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find the distance between $(3, - 6)$ and $(1, 4)$ on a coordinate grid. Round to the nearest tenth.
$8.1$
$8.5$
$9.6$
$10.2$