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What is the approximate distance between points A and B?


A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1. The ordered pair 1, 4 is labeled as A, and the ordered pair negative 2, negative 3 is labeled as B.

6.32 units
6.95 units
7.62 units
8.56 units

What is the approximate distance between points A and B A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1 The ordered pair 1 class=

Respuesta :

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1-(-2)]^2+[4-(-3)]^2}\implies d=\sqrt{(1+2)^2+(4+3)^2} \\\\\\ d=\sqrt{9+49}\implies d=\sqrt{58}\implies d\approx 7.62[/tex]

lublana

Answer:

7.62 units

Step-by-step explanation:

We are given that

The coordinates of point A is at (1,4).

The coordinates of point B is at (-2,-3).

We have to find the approximate distance between A and B.

Distance formula:[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using this formula we will find the distance between  A and B.

AB[tex]=\sqrt{(-2-1)^2+(-3-4)^2}[/tex]

Distance between A and B=[tex]\sqrt{49+9}=\sqrt{58}[/tex]

Distance between A and B=[tex]7.62[/tex] units

Hence, the approximate distance between points A and  B=7.62 units

Option C is true.

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