Find the distance between the points (3, 8) and (0,4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Please helppppp

Respuesta :

Answer:

5

Step-by-step explanation:

(3,8) (0,4)

X1 = 3    X2 = 0

Y1 = 8    Y2 = 4

[tex]D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2} }[/tex]

[tex]D= \sqrt{(3-0)^{2} + (8-4)^{2} }[/tex]

Do what's in the parentheses so...

  1. 3-0= 3
  2. 8-4= 4

Now plug it in!

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

Now you are going to finish the parentheses so...

  1. (3)^2= 9
  2. (4)^2= 16

Plug that in so that you have this...

[tex]\sqrt{9+16}[/tex]

Add 9+16 to get...

[tex]\sqrt{25}[/tex]

Then you are going to find the number or numbers that make this a perfect square...

[tex]\sqrt{25}= 5[/tex]

So 5 is your answer