Question

Find the distance between the points given.
(3, 4) and (4,7)
0 212
O V10
O 3

Answer 1

Answer:

$\displaystyle d = \sqrt{10}$

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 (3, 4)

Point (4, 7)

Step 2: Find distance d

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

1. Substitute [DF]:                    $\displaystyle d = \sqrt{(4-3)^2+(7-4)^2}$
2. Subtract:                               $\displaystyle d = \sqrt{(1)^2+(3)^2}$
3. Exponents:                           $\displaystyle d = \sqrt{1+9}$
4. Add:                                      $\displaystyle d = \sqrt{10}$