Question

Find the distance between two points 5,5 and -4,6

Answer 1

19.06

Explanation:

Put the points into the distance formula:

`d=√((-4-5)^2+(6-5)^2)`

Solve:

`d=√((-9)^2+(1)^2)`

`d=√(82)`

`d=9.055385`

Answer 2

`\displaystyle d = √(82)`

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 (5, 5)

Point (-4, 6)

Step 2: Solve for d

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

1. Substitute in coordinates [Distance Formula]:
   `\displaystyle d = √((-4-5)^2+(6-5)^2)`
2. [Distance] [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-9)^2+(1)^2)`
3. [Distance] [√Radical] Evaluate exponents:
   `\displaystyle d = √(81+1)`
4. [Distance] [√Radical] Add:
   `\displaystyle d = √(82)`