Question

Find the distance between points R (3,6) ; S (5,6)

Answer 1

Answer:

$\displaystyle d = 2$

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 I

Coordinate Planes

• Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify.

Point R(3, 5)

Point S(5, 6)

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]:                                                     $\displaystyle d = \sqrt{(5 - 3)^2 + (6 - 6)^2}$
2. [Order of Operations] Simplify:                                                                   $\displaystyle d = 2$

Answer 2

Answer:

2

Step-by-step explanation:

The formula for the lenght of a line is

$\sqrt{(x2 \: - x1)^{2} + (y2 - y1) ^{2} }$

We can assume that the distance between them is equal to

$\sqrt{ {(5 - 3)}^{2} + {(6 - 6)}^{2} } = \sqrt{2^{2} + 0} = \sqrt{4} = 2$

From the given coordinayes x1 =5, x2 =3. Y1 =6, y2 =6