Question

Find the distance between the two points in simplest radical form.
(5,−9) and (−3,−1)

Answer 1

Answer:

The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4$\sqrt{8}$

Step-by-step explanation:

Given points as :

Point A = ( 5 , - 9 )

I.e (x_1 , y_1) = ( 5 , - 9 )

Point B = ( - 3 , - 1 )

I.e( x_2 , y_2) =  ( - 3 , - 1 )

Let The distance between points A and B = AB

So From distance formula

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

So, Distance AB = $\sqrt{( - 1 + 9)^{2} + ( - 3 - 5)^{2}}$

Or, Distance AB = $\sqrt{(8)^{2} + (- 8)^{2}}$

Or, Distance AB = $\sqrt{64 + 64}$

Or, Distance AB = $\sqrt{128}$

∴ Distance AB = 4$\sqrt{8}$

Hence The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4$\sqrt{8}$  Answer

Answer 2

Answer:

8√2

Step-by-step explanation:

delta math gave me the right answer after I got it wrong