Question

find the distance between each pair of points (-1 4) (1 -1)​

Answer 1

Answer:

$\displaystyle d = \sqrt{29}$

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

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

Point (1, -1)

Step 2: Find distance d

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

1. Substitute [DF]:                    $\displaystyle d = \sqrt{(1+1)^2+(-1-4)^2}$
2. Add/Subtract:                       $\displaystyle d = \sqrt{(2)^2+(-5)^2}$
3. Exponents:                           $\displaystyle d = \sqrt{4+25}$
4. Add:                                      $\displaystyle d = \sqrt{29}$