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