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

Answer:

[tex]\displaystyle d = \sqrt{29}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

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

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(0+5)^2+(-4+2)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(5)^2+(-2)^2}[/tex][√Radical] Evaluate exponents:                                                                     [tex]\displaystyle d = \sqrt{25+4}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{29}[/tex]

D=/29 that is your answer

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