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:
  1. Point A :
  2. 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

error msg
Explicar
Simplifique esta solución

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!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad