Question

What is distance between C(−5,−2) and D(0,−4)

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 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 C(-5, -2)

Point D(0, -4)

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]:                                                       $\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}$
2. [√Radical] (Parenthesis) Add:                                                                        $\displaystyle d = \sqrt{(5)^2+(-2)^2}$
3. [√Radical] Evaluate exponents:                                                                     $\displaystyle d = \sqrt{25+4}$
4. [√Radical] Add:                                                                                               $\displaystyle d = \sqrt{29}$

Answer 2

D=/29 that is your answer