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=√((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\\\\=√((3-(-4))^2+(2-0)^2)\\\\=√(7^2+2^2)\\\\=√(49+4)\\\\=√(53).`

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

Option (C) is correct.