Question

find the distance between two points 5,5 and -4,6

Answer 1

Answer:

19.06

Step-by-step explanation:

Put the points into the distance formula:

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

Solve:

$d=\sqrt{(-9)^2+(1)^2}$

$d=\sqrt{82}$

$d=9.055385$

Answer 2

Answer:

$\displaystyle d = \sqrt{82}$

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

Step-by-step explanation:

Step 1: Define

Point (5, 5)

Point (-4, 6)

Step 2: Solve for d

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

1. Substitute in coordinates [Distance Formula]:                                               $\displaystyle d = \sqrt{(-4-5)^2+(6-5)^2}$
2. [Distance] [√Radical] (Parenthesis) Subtract:                                                 $\displaystyle d = \sqrt{(-9)^2+(1)^2}$
3. [Distance] [√Radical] Evaluate exponents:                                                     $\displaystyle d = \sqrt{81+1}$
4. [Distance] [√Radical] Add:                                                                               $\displaystyle d = \sqrt{82}$