Diego drew the figure on a coordinate grid as shown to represent a portion of a museum room. Point O represents the position of a painting. Point G represents the position of one of the focus lights.
What is the shortest distance between point G and point O rounded to the nearest hundredth?
4.00

1.41

2.00

4.47

Question

Diego drew the figure on a coordinate grid as shown to represent a portion of a museum room. Point O represents the position of a painting. Point G represents the position of one of the focus lights.
What is the shortest distance between point G and point O rounded to the nearest hundredth?
 4.00 

 1.41 

 2.00 

 4.47

anonymous · Answer

attachment

anonymous · Answer

The shortest distance is the direct diagonal line connecting (0,0) and (2,-4).

Do you know the distance formula or the Pythagorean theorem?  You can use either approach to find the length of that diagonal line.

anonymous · Answer

I just need the answer so I can use it for my test on monday

anonymous · Answer

Just giving you an answer will not help you in the slightest.  As a result of questions, you are supposed to be able to get the answer yourself by reasoning through it.  Not only are helpers not supposed to give answers, but askers are not supposed to merely ask for answers.  The whole idea here is to show you how to get the answers yourself.  No handouts.  That never works.