Question

Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (negative 2, 1), (negative 2, 3). StartRoot 2 squared + 6 squared EndRoot StartRoot 2 squared minus 6 squared EndRoot StartRoot 6 squared minus 2 squared EndRoot StartRoot (2 + 6) squared EndRoot

Answer 1

A

Explanation:

Answer 2

StartRoot 2 squared + 6 squared EndRoot

Explanation:

we have

A(4,3) and B(-2,1)

we know that

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

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

substitute the given values

`AB=\sqrt{(1-3)^(2)+(-2-4)^(2)}`

`AB=\sqrt{(-2)^(2)+(-6)^(2)}`

`AB=√(40)\ units`

therefore

StartRoot 2 squared + 6 squared EndRoot