Answer: [tex]\sqrt{29}[/tex]
Step-by-step explanation:
We can use the distance formula to find the distance between P and the origin (0, 0). The distance formula is a version of the Pythagorean theorem. Let the origin (0, 0) be (x1, y1), and P (2, -5) be (x2, y2)
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(-5-0)^2+(2-0)^2}=\sqrt{(-5)^2+(2)^2} =\sqrt{29}[/tex]
We will double-check our answer. [tex]\sqrt{29}\approx 5.385[/tex]. Since the origin is at y = 0 and P is at y = -5, this answer makes sense compared to the other answer options, such as [tex]\sqrt{7}\approx 2.64575[/tex].
