Question

What is the length of segment XY? 4.5 units /45 units /53 units 9 units

Answer 1

It might be √53 because they are 7 squares away from each other ( I have the same question ) but Im not 100% sure..  

Answer 2

Answer: The correct option is (C) √53 units.

Step-by-step explanation:  We are given to find the length of the line segment XY in the graph.

We know that the length of a line segment is equal to the distance between its end points.

DISTANCE FORMULA: The distance between two points with co-ordiantes (a, b) ad (c, d) is given by

$D=\sqrt{(c-a)^2+(d-b)^2}.$

From the graph, we note that

the co-ordinates of the point X are (-4, 0) and the co-ordinates of the point Y are (3, 2).

Therefore, the distance between the points X and Y is given by

$D\\\\=\sqrt{(3-(-4))^2+(2-0)^2}\\\\=\sqrt{7^2+2^2}\\\\=\sqrt{49+4}\\\\=\sqrt{53}.$

So, the length of the line segment XY is √53 units.

Option (C) is correct.