Question

In the coordinate plane, what is the length of the line segment that connects points at (4, −1) and (9, 7) ?

Enter your answer in the box. Round to the nearest hundredth.

Answer 1

square root of 89= 9.43398113 rounded to the nearest hundredth is 9.43 :)

Answer 2

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

In this problem we have

`A(4,-1)\\B(9,7`

substitute the values

`d=\sqrt{(7+1)^(2)+(9-4)^(2)}`

`d=\sqrt{(8)^(2)+(5)^(2)}`

`d=√(89)\ units`

`d=9.43\ units`

therefore

the answer is

`9.43\ units`