Question

I can’t figure this one out. Someone please help me.

Answer 1

Answer:

$d \approx 8.2$

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

Step-by-step explanation:

Step 1: Define

Point F (2, 7)

Point G (4, -1)

Step 2: Find distance d

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

1. Substitute [DF]:                    $d = \sqrt{(4-2)^2+(-1-7)^2}$
2. Subtract:                               $d = \sqrt{(2)^2+(-8)^2}$
3. Exponents:                           $d = \sqrt{4+64}$
4. Add:                                      $d = \sqrt{68}$
5. Simplify:                                $d = 2\sqrt{17}$
6. Evaluate:                              $d = 8.24621$
7. Round:                                 $d \approx 8.2$