Question

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

Answer 1

`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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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 = √((4-2)^2+(-1-7)^2)`
2. Subtract:
   `d = √((2)^2+(-8)^2)`
3. Exponents:
   `d = √(4+64)`
4. Add:
   `d = √(68)`
5. Simplify:
   `d = 2√(17)`
6. Evaluate:
   `d = 8.24621`
7. Round:
   `d \approx 8.2`