Respuesta :
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
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points A(1, -1) and B(-9, -4) is
[tex]AB\\\\=\sqrt{(-9-1)^2+(-4-(-1))^2}\\\\=\sqrt{100+9}\\\\=\sqrt{109}\\\\=10.44~\textup{units}.[/tex]
Thus, the length of the line segment AB is 10.44 units.
Option (B) is CORRECT.
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
Therefore, the distance between the points A(1, -1) and B(-9, -4) is
Thus, the length of the line segment AB is 10.44 units.
Option (B) is CORRECT.
Step-by-step explanation: took the test and got it right thx to the person above me that answered it first. I just want v-bucks tho