Question

Find the distance between the points (3, 8) and (0,4).

Answer 1

Answer:

5

Step-by-step explanation:

(3,8) (0,4)

X1 = 3    X2 = 0

Y1 = 8    Y2 = 4

$D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2} }$

$D= \sqrt{(3-0)^{2} + (8-4)^{2} }$

Do what's in the parentheses so...

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

Now plug it in!

$D= \sqrt{(3)^{2}+(4)^{2} }$

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...

$\sqrt{9+16}$

Add 9+16 to get...

$\sqrt{25}$

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

$\sqrt{25}= 5$

So 5 is your answer