Question

what is the distance between (0, -2) and (9, 10) ? please show your work so i can understand thank you

Answer 1

Given:

The two points are (0, -2) and (9, 10).

To find:

The distance between the given points.

Solution:

Distance between the two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the above distance formula, the distance between given points is

$d=\sqrt{(9-0)^2+(10-(-2))^2}$

$d=\sqrt{(9)^2+(10+2)^2}$

$d=\sqrt{81+(12)^2}$

On further simplification, we get

$d=\sqrt{81+144}$

$d=\sqrt{225}$

$d=15$

Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.