Question

Find the distance round to the nearest tenth (-8, -6) (-3,-2)​

Answer 1

6.4

Explanation:

d=√((−3−(−8))^2+(−2−(−6))^2)

d=√((5)^2+(4)^2)

d=√(25+16)

d=√(41)

d=6.403124

d=6.4

Answer 2

`\displaystyle d \approx 6.4`

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 (-8, -6)

Point (-3, -2)

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 = √((-3+8)^2+(-2+6)^2)`
2. [√Radical] (Parenthesis) Add:
   `\displaystyle d = √((5)^2+(4)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(25+16)`
4. [√Radical] Add:
   `\displaystyle d = √(41)`
5. [√Radical] Evaluate:
   `\displaystyle d = 6.40312`
6. Round:
   `\displaystyle d \approx 6.4`