Question

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

Answer 1

`\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 = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([1-(-2)]^2+[4-(-3)]^2)\implies d=√((1+2)^2+(4+3)^2) \\\\\\ d=√(9+49)\implies d=√(58)\implies d\approx 7.62`

Answer 2

7.62 units

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:
`√((x_2-x_1)^2+(y_2-y_1)^2)`

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

AB
`=√((-2-1)^2+(-3-4)^2)`

Distance between A and B=
`√(49+9)=√(58)`

Distance between A and B=
`7.62` units

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

Option C is true.