I WILL GIVE YOU BRANILEST!

This is a really important question that I need to know before 1! Please explain your answer! PLEASE EXPLAIN!

What is the length of the line segment?

I WILL GIVE YOU BRANILEST This is a really important question that I need to know before 1 Please explain your answer PLEASE EXPLAIN What is the length of the l class=

Respuesta :

sorry i know this is after 1 but the answer of the length is 7 since from -3+7=4

Answer:

[tex]l(\overline {AB})\approx9.22\: units[/tex]

Step-by-step explanation:

  • A = (-2, -3), B = (-8, 4) (Given)

  • [tex]\implies x_1= -2,\: y_1=-3,\: x_2=-8,\: y_2= 4[/tex]

  • By distance formula length of segment AB can be given as:

  • [tex]l(\overline {AB})=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

  • [tex]l(\overline {AB})=\sqrt{[-8-(-2)]^2 +[4-(-3)]^2}[/tex]

  • [tex]l(\overline {AB})=\sqrt{[-8+2]^2 +[4+3]^2}[/tex]

  • [tex]l(\overline {AB})=\sqrt{[-6]^2 +[7]^2}[/tex]

  • [tex]l(\overline {AB})=\sqrt{36 +49}[/tex]

  • [tex]l(\overline {AB})=\sqrt{85}[/tex]

  • [tex]l(\overline {AB})=9.21954446\: units[/tex]

  • [tex]l(\overline {AB})\approx9.22\: units[/tex]