This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back Angel🥹 — missed you this week. Step 1: Identify the general form of a circle equation. The general equation of a circle is given by Ax^2 + Ay^2 + Dx + Ey + F = 0, where A ≠ 0. A key characteristic is that the coefficients of x^2 and y^2 must be equal and have the same sign. Step 2: Analyze the given equation. The given equation is: 5x^2 + 5y^2 = 10 Step 3: Compare with the general form. In this equation, the coefficient of x^2 is 5 and the coefficient of y^2 is 5. They are equal and have the same sign. There are no x or y terms, and no xy term. Step 4: Simplify the equation to the standard form. Divide the entire equation by 5: (5x^2)/(5) + (5y^2)/(5) = (10)/(5) x^2 + y^2 = 2 This is the standard form of a circle centered at the origin (0,0) with radius r = sqrt(2). The equation represents a circle. The equation 5x^2 + 5y^2 = 10 does represent a circle. Send me the next one 📸