Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

What is the distance from the origin to point P graphed on the complex plane below?

What Is The Distance From The Origin To Point P Graphed On The Complex Plane Below class=

Sagot :

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].