Question

To the nearest hundredth, what is the length of 

Answer 1

I took the test. Here's the right answer

Answer 2

Answer:  The correct option is (B) 10.44.

Step-by-step explanation:  We are given a graph that has a point A at (1, -1) and a point B at (-9, -4).

We are to find the length of the line segment AB to the nearest hundredth.

The length of the line segment AB is given by the distance between the end-points A and B.

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

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

Therefore, the distance between the points A(1, -1) and B(-9, -4) is

$AB\\\\=\sqrt{(-9-1)^2+(-4-(-1))^2}\\\\=\sqrt{100+9}\\\\=\sqrt{109}\\\\=10.44~\textup{units}.$

Thus, the length of the line segment AB is 10.44 units.

Option (B) is CORRECT.