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Answer:
The distance between (-9, 8) and (-3, -1) will be:
[tex]\:d=3\sqrt{13}[/tex] units
Step-by-step explanation:
Given the points
Finding the distance between (-9, 8) and (-3, -1)
[tex]d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}[/tex]
[tex]=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}[/tex]
[tex]=\sqrt{36+81}[/tex]
[tex]=\sqrt{117}[/tex]
[tex]=3\sqrt{13}[/tex] units
Therefore, the distance between (-9, 8) and (-3, -1) will be:
[tex]\:d=3\sqrt{13}[/tex] units