Question

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

Answer 1

Answer:

$d \approx 13.5$

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: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step 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]:                    $d = \sqrt{(0-9)^2+(-10-0)^2}$
2. Subtract:                               $d = \sqrt{(-9)^2+(-10)^2}$
3. Exponents:                           $d = \sqrt{81+100}$
4. Add:                                      $d = \sqrt{181}$
5. Evaluate:                              $d = 13.4536$
6. Round:                                  $d \approx 13.5$