Question

Find the distance of (2,5) and (-1,3)

Answer 1

`√(13)`

Explanation:

Use the distance formula:

`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

Insert the values:

`(2_(x1),5_(y1))\\\\(-1_(x1),3_(y2))\\\\\\sqrt{(-1-2)^2+(3-5)^2}`

Simplify:

`√((-1-2)^2+(3-5)^2)\\\\ √((-3)^2+(-2)^2)\\\\ √(9+4)\\\\√(13)`

The distance between the two points is the square root of 13.

:Done

Answer 2

Answer:
`√(13)` or 3.61

Explanation:

`√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

`√(\left(-1-2\right)^2+\left(3-5\right)^2)`

`√(9+4)`

`=√(13)`