Question

What is the approximate distance between the points (-6,8) and (4,13)

Answer 1

Answer:

$D=11.180$

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

 

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

 

Where

$(x_1,y_1) = (-6,8)$

$(x_2,y_2) = (4,13)$

 

Replacing these values in the distance formula

$D =\sqrt{(13-8)^2+(4-(-6))^2}$

$D =\sqrt{(5)^2+(10)^2}$

$D =\sqrt{25+100}$

$D =\sqrt{125}$

$D=11.180$

 

Hence the Distance is 11.180 units