Respuesta :

Answer:

9.4 units

Step-by-step explanation:

So first we need to create a right angled triangle so that we can use Pythagoras theorem.

The difference in y = 6 - 1 = 5

The difference in x = 5 - -3 = 8

Finding the length of line segment CD is like finding the magnitude or the hypotenuse. So:

CD² = 8² +5²

CD² = 64 + 25

CD² = 89²

CD = √89

CD = 9.4

Because we aren't given any units we leave it as 9.4 units or just 9.4

PSN03

Yo sup??

You can solve this question by directly applying the distance formula which is given by

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where x1,y1=-3,1

and x2,y2=5,6

plugging in the values

[tex]d=\sqrt{(-3-5)^2+(1-6)^2}\\ =\sqrt{64+25}\\ =\sqrt{89}\\=9.4[/tex]

I hope this helps.