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?
A- 4.00
B- 1.41
C- 2.00
D- 4.47

Answer 1

4.47
If you use the distance formula between two points, then you will find that the distance between O(0,0) and G(2,-4)
Distance Formula = Square Root[(x2-x1)^2 - (y2-y1)^2]
Put the values for x1,x2, y1, and y2.
So, we have = Square Root[(2-0)^2 + (-4-0)^2]
Which is, Square Root[4 + 16] = Square Root[20] = 4.47
So, it is D.