Question

Pls answer

Answer 1

Answer:

$8.49\ units$

Step-by-step explanation:

we know that

The Pythagorean Theorem states that in a right triangle

$c^2=a^2+b^2$

where

c is the greater side (the hypotenuse)

a and b are the legs

In this problem

Let

c=AB ---> distance from point A to point B

a ---> the difference of the x-coordinates both points

b ---> the difference of the y-coordinates both points

so

$a=1-(-5)=6\ units\\b=6-0=6\ units$

substitute

$AB^2=6^2+6^2$

$AB^2=72$

$AB=\sqrt{72}\ units$

$AB=8.49\ units$