Respuesta :

distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(20,44)...x1 = 20 and y1 = 44
(80,55)..x2 = 80 and y2 = 55
now we sub and solve..
d = sqrt (80 - 20)^2 + (55 - 44)^2
d = sqrt ((60^2) + (11^2))
d = sqrt (3600 + 121)
d = sqrt 3721
d = 61 <==

♦Brainliest please♦
Okay! 

We need to solve this problem using the distance formula. And this formula just is a thing kabob which you plug numbers in, and it regurgitates the distance between two points.

Our two points are... (80, 55), and (20, 44)! 

Hurray, we have points to use!

Okay, so - 

The distance formula is: d = sqrt(x2 - x1)^2 + (y2 - y1)^2

The little numbers by the variables and just tell you what order to put them in. So, for each variable with a 2 by it, we'll plug in the numbers from that same ordered pair. You'll see what I mean when we solve this in a sec. =)

Alright, let's solve the problem!

* plug in the thingy kabobs.

d = sqrt(80 - 20)^2 + (55 - 44)^2)

* so, first we're going to solve what's in the parenthesis in order to follow the order of operations. (PEMDAS). ^

d = sqrt(60)^2 + (11)^2)

* okay, we're almost done - we just have to do the exponents now. ^

d = sqrt(3,600 + 121)

* add these fools ^

d = sqrt(3,721)

* after we added those two guys, we now just take the square root of 3,721 which is... 61!

Hopefully, this helped! =)