Question

I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?

Answer 1

8 1/4

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 I

• Coordinates (x, y)

Algebra II

• Distance Formula:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Identify

Point (-1, -3.75)

Point (-1, 4.5)

Step 2: Find distance d

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

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((-1--1)^2+(4.5--3.75)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((0)^2+(8.25)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(0+68.0625)`
4. [√Radical] Add:
   `\displaystyle d = √(68.0625)`
5. [√Radical] Evaluate:
   `\displaystyle d = 8.25`