Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Line segment AB is on the coordinate plane and has endpoints at A(-5,3) and B(1,8). What is the length of the line segment to the nearest hundredth?
A) 30.5 B) 11.0 C) 7.81 D) 3.32

Sagot :

Space

Answer:

C) 7.81

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

Step-by-step explanation:

Step 1: Define

Identify

Point A(-5, 3)

Point B(1, 8)

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]:                                                         [tex]\displaystyle d = \sqrt{(1--5)^2+(8-3)^2}[/tex]
  2. [√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(6)^2+(5)^2}[/tex]
  3. [√Radical] Evaluate exponents:                                                                      [tex]\displaystyle d = \sqrt{36+25}[/tex]
  4. [√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{61}[/tex]
  5. [√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 7.81025[/tex]
  6. Round:                                                                                                               [tex]\displaystyle d \approx 7.81[/tex]
jcherry99

Answer:

AB = 7.81

Step-by-step explanation:

Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )

x2 = - 5

x1 = 1

y2 = 3

y1 = 8

D = sqrt( -5 - 1)^2 + (3 - 8)^2 )

D = sqrt( (-6)^2 + (-5)^2 )

D = sqrt( (36 + 25)

D = sqrt( 61)

D = 7.81

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.