Question

Find the distance between the points (2,8) and (17,0).

Answer 1

`d = 17`

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 (2, 8)

Point (17, 0)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((17-2)^2+(0-8)^2)`
2. Subtract:
   `d = √((15)^2+(-8)^2)`
3. Exponents:
   `d = √(225+64)`
4. Add:
   `d = √(289)`
5. Simplify:
   `d = 17`