Question

Calculate the distance between points A(4, 6) and B(-3, 9)

Answer 1

Explanation:

Hey there!

The points are; A(4,6) and B(-3,9).

Using distance formula,

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

Putc all values .

`d = \sqrt{ {( - 3 - 4)}^(2) + ( {9 - 6)}^(2) }`

Simplify it.

`d = \sqrt{ {( - 7)}^(2) + {3}^(2) }`

`d = √(49 + 9)`

`= √(58)`

Therefore the distance between two points is root 58 units Or 7.61 units.

Hope it helps...