Question

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

(-2,5) and (-8,1)

Answer 1

7.2 u

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

`\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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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 = √((-8--2)^2+(1-5)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-6)^2+(-4)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(36+16)`
4. [√Radical] Add:
   `\displaystyle d = √(52)`
5. [√Radical] Evaluate:
   `\displaystyle d = 7.2111`
6. Round:
   `\displaystyle d \approx 7.2`