Question

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

Answer 1

Answer:

$\sqrt{13}$

Step-by-step 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:

$\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}$

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

:Done

Answer 2

Answer: $\sqrt{13}$ or 3.61

Step-by-step explanation:

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}$

$\sqrt{9+4}$

$=\sqrt{13}$