Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Find the distance between the points given.
(-3, 2) and (9, -3)
V61
V37
13

Sagot :

Space

Answer:

[tex]\displaystyle d = 13[/tex]

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

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Point (9, -3)

Step 2: Find distance d

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

  1. Substitute [DF]:                              [tex]\displaystyle d = \sqrt{(9+3)^2+(-3-2)^2}[/tex]
  2. (Parenthesis) Add/Subtract:          [tex]\displaystyle d = \sqrt{(12)^2+(-5)^2}[/tex]
  3. [√Radical] Exponents:                   [tex]\displaystyle d = \sqrt{144+25}[/tex]
  4. [√Radical] Add:                              [tex]\displaystyle d = \sqrt{169}[/tex]
  5. [√Radical] Evaluate:                      [tex]\displaystyle d = 13[/tex]
th3l3g3ndz21

Answer:

13 units

Step-by-step explanation:

Hope it helps.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.