Determine The Radius And Equation Of (X-7/4)\Xb2+(Y+3/4)\Xb2=169/16

Determine the radius and equation of (x-7/4)²+(y+3/4)²=169/16

 

radius=13/4

equation 16x²+16y²-56x+24y=111

Step-by-step explanation:

  • radius is the square root of 169/16
  • for the equation, just simplify the equation into standard form
  • (x-7/4)²+(y+3/4²)=169/16
  • x²-14x/4+49/16+y²+6y/4+9/16=169/16
  • ( {x}^{2} + {y}^{2} - \frac{14x}{4} + \frac{6y}{4 } = \frac{111}{16} ) \times 16
  • 16 {x}^{2} + 16 {y}^{2} - 56x + 24y = 111

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