Explore a diverse range of topics and get expert answers on IDNLearn.com. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4, 2) and (2,-6)


Sagot :

Answer:

[tex]\displaystyle d = 10[/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]

Explanation:

Step 1: Define

Point (-4, 2)

Point (2, -6)

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{(2+4)^2+(-6-2)^2}[/tex]
  2. (Parenthesis) Add/Subtract:          [tex]\displaystyle d = \sqrt{(6)^2+(-8)^2}[/tex]
  3. [√Radical] Exponents:                   [tex]\displaystyle d = \sqrt{36+64}[/tex]
  4. [√Radical] Add:                              [tex]\displaystyle d = \sqrt{100}[/tex]
  5. [√Radical] Evaluate:                      [tex]\displaystyle d = 10[/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.