What is the distance between points E and G?
Round to the nearest tenth of a unit.
11.2 units
12.0 units
14.3 units
17.0 units
Two points on a coordinate grid. Point E coordinates are begin ordered pair (1,7). Point G coordinates are begin ordered pair (9,-2).

Respuesta :

Distance = Square Root ( (X difference)^2 + (Y difference)^2 )
Distance = Square Root [(1 -9)^2 + (7 --2)^2]
Distance = Square Root (-8^2 + 9^2)
Distance = Square Root (64 + 81)
Distance = Square Root (145)
Distance = 12.0415945788


The distance between the coordinate points E and G is 12.0415945788.

What is coordinate points?

A pair of numbers that describe "position of points on a coordinate plane by using horizontal and vertical distances from two reference axes".

According to the question,

Point E coordinate are begin ordered pair (1,7) and Point G coordinate are begin ordered pair (9,-2).

Distance formula = [tex]\sqrt{(difference of' x' points)^2 + (Difference of 'y' points)^2 }[/tex]

= [tex]\sqrt{(1-9)^2 + (7- (-2))^2}[/tex]

= [tex]\sqrt{(-8)^2 + (9)^2}[/tex]

= [tex]\sqrt{64 + 81}[/tex]

= [tex]\sqrt{145}[/tex]

= 12.0415945788.

Hence, the distance between the coordinate points E and G is 12.0415945788.

Learn more about coordinate here

https://brainly.com/question/3579689

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