Question

4. (0,-8) and (3, 2) Find the distance

Answer 1

Answer:

10.44 units

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

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

Where

$(x_1,y_1) = (0,-8)$

$(x_2,y_2) = (3,2)$

Replacing these values in the distance formula

$D =\sqrt{(8-(-2))^2+(3-0)^2}$

$D =\sqrt{(8+2)^2+(3)^2}$

$D =\sqrt{100+9}$

$D =\sqrt{109}$

$D= 10.44$

Hence the distance is 10.44 units