Question

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

Answer 1

The distance between (-5 , -8) and (-1 , -16) is 8.9 units ⇒ 1st answer

Step-by-step explanation:

The distance between points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

To find the distance between two points

• Chose one of the two point to be $(x_{1},y_{1})$
• Use the other point to be $(x_{2},y_{2})$
• Substitute them in the rule of the distance

∵ The first point is (-5 , -8)

∵ the second point is (-1 , -16)

∴ $x_{1}$ = -5 and $x_{2}$ = -1

∴ $y_{1}$ = -8 and $y_{2}$ = -16

- Substitute these values in the rule of the distance

∵ $d=\sqrt{(-1--5)^{2}+(-16--8)^{2}}$

∴ $d=\sqrt{(-1+5)^{2}+(-16+8)^{2}}$

∴ $d=\sqrt{(4)^{2}+(-8)^{2}}$

∴ $d=\sqrt{16+64}$

∴ $d=\sqrt{80}$

∴ d = 8.9 units

The distance between (-5 , -8) and (-1 , -16) is 8.9 units

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

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