Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

7.2 u

Step-by-step explanation:

Given :-

• Two points (-2,5) and (-8,1) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

$:\implies$ D = √{(x2-x1)² + (y2-y1)²}

$:\implies$ D =√[ (2-8)² +(5-1)²]

$:\implies$ D =√[ 6² +4²]

$:\implies$ D =√[ 36 +16]

$:\implies$ D = 7.2 u

Hence the distance between the two points is 7.2 units .

Answer 2

Answer:

$\displaystyle d \approx 7.2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)

Algebra II

• Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-2, 5)

Point (-8, 1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [Distance Formula]:                                                           $\displaystyle d = \sqrt{(-8--2)^2+(1-5)^2}$
2. [√Radical] (Parenthesis) Subtract:                                                                   $\displaystyle d = \sqrt{(-6)^2+(-4)^2}$
3. [√Radical] Evaluate exponents:                                                                       $\displaystyle d = \sqrt{36+16}$
4. [√Radical] Add:                                                                                                 $\displaystyle d = \sqrt{52}$
5. [√Radical] Evaluate:                                                                                         $\displaystyle d = 7.2111$
6. Round:                                                                                                               $\displaystyle d \approx 7.2$