Question

Find the distance between (-1,4) and (-5,-4).

Express as a radical or a number rounded to
the nearest hundredth.

Answer 1

`\bold{d=4\sqrt5\approx8.94}`

Explanation:

`d=√((x_1-x_2)^2+(y_1-y_2)^2)\\\\(-1,4)\quad\implies\quad x_1=-1\,,\ \ y_1=4\\\\(-5,-4)\quad\implies\quad x_2=-5\,,\ \ y_2=-4\\\\d=√((-1+5)^2+(4+4)^2)= √(4^2+8^2)=√(80)=√(16\cdot5)=4\sqrt5\approx8.94`