Question

What is the distance between (5,-3) and (0,9)?

Answer 1

13 units

Explanation:

To calculate the distance between 2 points use the `color(blue)(" distance formula "`

d`= sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

where`(x_1,y_1) , (x_2,y_2) " are the coords of the 2 points "`

here , let `(x_1,y_1) = (5,-3) " and " (x_2,y_2) = (0,9)`

hence d `= sqrt((0-5)^2 + (9-(-3))^2) = sqrt(25 + 144) = sqrt169 = 13`