Question

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O V10
O 3

Answer 1

`\displaystyle d = √(10)`

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:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (3, 4)

Point (4, 7)

Step 2: Find distance d

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

1. Substitute [DF]:
   `\displaystyle d = √((4-3)^2+(7-4)^2)`
2. Subtract:
   `\displaystyle d = √((1)^2+(3)^2)`
3. Exponents:
   `\displaystyle d = √(1+9)`
4. Add:
   `\displaystyle d = √(10)`