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Answer:
C) 5 units
Step-by-step explanation:
In order to find the distance between points P and Q, we will be using the Distance Formula.
[tex]\sf \textsf{\underline{Distance Formula:}}\ \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given:
where:
⇒ x₁ = 3, y₁ = -1
⇒ x₂ = -1, y₂ = -4
Substitute these values into the formula:
[tex]\sf\\\implies d=\sqrt{(-1-3)^2+(-4-(-1))^2}\\\\\implies d=\sqrt{(-1-3)^2+(-4+1)^2}\\\\\implies d=\sqrt{(-4)^2+(-3)^2}\\\\\implies d=\sqrt{16+9}\\\\\implies d=\sqrt{25}\\\\\implies d=5[/tex]
The distance from P to Q is 5 units.
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