Pregunta
If point A has coordinates (0, 5) and point B has coordinates (0, -3), what are their respective distances from the origin?
Ask by Wagner Davison. in South Africa
Jan 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Point A is 5 units from the origin, and Point B is 3 units from the origin.
Solución
To determine the distances of points
and
from the origin
, we can use the distance formula:
Let’s apply this formula to both points:
-
Point A
: -
Point B
:
Conclusion:
- Point
is 5 units away from the origin. - Point
is 3 units away from the origin.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To find the distance of point A (0, 5) from the origin (0, 0), we use the distance formula:
. Plugging in the values, we get
.
For point B (0, -3), the distance is calculated similarly:
. Therefore, point A is 5 units away from the origin, while point B is 3 units away.
Did you know that distances in a coordinate system are often represented with the Pythagorean theorem? This theorem not only applies to right-angled triangles, but it’s also the backbone of how we calculate distances between points in a 2D plane – using the “a squared plus b squared” magic!
If you ever find yourself confused between points, a good tip is to graph them. A simple sketch can illuminate their positions relative to each other and to the origin. Marking out coordinates on graph paper or using an app can help you visualize distances intuitively. Plus, you’ll catch any little mistakes before they turn into bigger issues in your calculations!
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