Question

Find the distance between the points r(-4 1) and s(2 7)

Answer 1

`d=6√(2)`

Explanation:

Distance Formula:
`d =\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

`d =√((-4-2)^2+(1-7)^2 )`

`d =√(36 + 36)`

`d=√(72) =6√(2)`

Answer 2

`d = 6√(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 II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point R (-4, 1)

Point S (2, 7)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((2+4)^2+(7-1)^2)`
2. Add/Subtract:
   `d = √((6)^2+(6)^2)`
3. Exponents:
   `d = √(36+36)`
4. Add:
   `d = √(72)`
5. Simplify:
   `d = 6√(2)`