Question
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22 a.

Ask by West Vaughn. in Italy
Jan 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

L’equazione rappresenta un cerchio con centro in e raggio .

Solution

Per risolvere l’equazione , seguiamo i seguenti passaggi:
  1. Identificazione della forma dell’equazione: Questa è l’equazione di un cerchio. La forma generale dell’equazione di un cerchio è , dove è il centro del cerchio e è il raggio.
  2. Estrazione dei parametri:
    • Dall’equazione , possiamo identificare:
      • quindi
  3. Determinazione del centro e del raggio:
    • Il centro del cerchio è .
    • Il raggio del cerchio è .
  4. Conclusione: L’equazione rappresenta un cerchio con centro in e raggio .
Se hai bisogno di ulteriori dettagli o di un altro tipo di analisi, fammelo sapere!

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

Did you know that the equation represents a circle in the Cartesian plane? Specifically, this circle is centered at the point (1, 0) with a radius of 2. So if you visualize it, you’ll find that it touches the x-axis at (-1, 0) and (3, 0), and reaches up to (1, 2) and down to (1, -2).
When graphing this circle, a common misstep is neglecting the center and radius, leading to incorrect placement and dimensions. Double-check that you’re correctly identifying the center as (1, 0) and measuring the radius outwards 2 units in all directions. It’s a great idea to sketch points that satisfy the equation to ensure you capture the full roundness of your circle!

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