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10 cards from this deck
x2+y2=r2x^2 + y^2 = r^2x2+y2=r2 defines a circle at the origin.
Use (x+a)2+(y+b)2=r2(x + a)^2 + (y + b)^2 = r^2(x+a)2+(y+b)2=r2 for translation.
The center is (−a,−b)(-a, -b)(−a,−b) from the circle equation.
Complete the square to find center and radius.
Center is (−3,2)(-3, 2)(−3,2) from completed square form.
Radius is 3, since r2=9r^2 = 9r2=9.
Use r=(x2−x1)2+(y2−y1)2r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}r=(x2−x1)2+(y2−y1)2.
Equation is (x−2)2+(y−4)2=49(x - 2)^2 + (y - 4)^2 = 49(x−2)2+(y−4)2=49.
Center is (0,0)(0, 0)(0,0) with radius 222.
Substitute line into circle equation and solve for xxx.
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