Find the distance between (-5, -8) and (-1, -16). Group of answer choices 8.9 units 9.8 units 10.3 units 11 units

The distance between (-5 , -8) and (-1 , -16) is 8.9 units ⇒ 1st answerStep-by-step explanation:The distance between points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]is [tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]To find the distance between two pointsChose one of the two point to be [tex](x_{1},y_{1})[/tex]Use the other point to be [tex](x_{2},y_{2})[/tex]Substitute them in the rule of the distance∵ The first point is (-5 , -8)∵ the second point is (-1 , -16)∴ [tex]x_{1}[/tex] = -5 and [tex]x_{2}[/tex] = -1∴ [tex]y_{1}[/tex] = -8 and [tex]y_{2}[/tex] = -16- Substitute these values in the rule of the distance∵ [tex]d=\sqrt{(-1--5)^{2}+(-16--8)^{2}}[/tex]∴ [tex]d=\sqrt{(-1+5)^{2}+(-16+8)^{2}}[/tex]∴ [tex]d=\sqrt{(4)^{2}+(-8)^{2}}[/tex]∴ [tex]d=\sqrt{16+64}[/tex]∴ [tex]d=\sqrt{80}[/tex]∴ d = 8.9 unitsThe distance between (-5 , -8) and (-1 , -16) is 8.9 unitsLearn more:You can learn more about the distance between two points in brainly.com/question/6564657#LearnwithBrainly