Question

Find the distance between the points E(9,0) and F(0,-10) to the nearest tenth.

Answer 1

`d \approx 13.5`

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 E (9,0)

Point F (0, -10)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((0-9)^2+(-10-0)^2)`
2. Subtract:
   `d = √((-9)^2+(-10)^2)`
3. Exponents:
   `d = √(81+100)`
4. Add:
   `d = √(181)`
5. Evaluate:
   `d = 13.4536`
6. Round:
   `d \approx 13.5`