Question

Find the distance between each pair of points round to nearest tenth if needed

Answer 1

Answer: 10) √85 units 12) 4 units

Explanation:

`\boxed {l=√((x_2-x_1)^2 +(y_2-y_1)^2)}`

10) (8,5) (-1,3)

`x_1=8\ \ \ \ x_2=-1\ \ \ \ y_1=5\ \ \ \ \ y_2=3\\\\l=√((-1-8)^2+(3-5)^2) \\\\l=√((-9)^2+(-2)^2) \\\\l=√(81+4)\\\\l=√(85)\ units`

12) (-6,-10) (-2,-10)

`x_1=-6\ \ \ \ \ x_2=-2\ \ \ \ \ y_1=-10\ \ \ \ y_2=-10\\\\l=√((-2-(-6)^2+(-10-(-10))^2) \\\\l=√((-2+6)^2+(-10+10)^2)\\\\l=√(4^2+0^2) \\\\l=√(4^2) \\\\l=4\ units`