Question
Find all points with integer coordinates located at a distance 5 from the origin. Then find all points with integer coordinates located at a distance 5 from $(2,3) .$
Step 1
We are looking for points that are a distance of 5 from the origin, so we set this equal to 5 and solve for $x$ and $y$: $\sqrt{x^2 + y^2} = 5$ Squaring both sides gives us $x^2 + y^2 = 25$. Show more…
Show all steps
Your feedback will help us improve your experience
Aymara Gallardo and 67 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find all points in the $x y$ -plane with integer coordinates located at a distance 5 from the origin. Then find all points with integer coordinates located at a distance 5 from (2,3) .
Precalculus Review
Real Numbers, Functions and Graphs
Find all points with integer coordinates located at a distance of 3 from the point (4,5).
Find the coordinates of the points that are 5 units away from the origin and have an $x$ -coordinate equal to 3.
Preliminaries
The Cartesian Coordinate System
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD