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kamo00800
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(keep in mind, its circle math.. :/)
Write the equation (x+9)2+(y-5)2=12 in general form.
Write the equation (x+9)2+(y-5)2=12 in general form.
Then subtract 12 from both sides of the equation.kamo00800 said:okay, but
Ax2 + By2 + Cx + Dy + E = 0
where do i get E...
cause 12 is on the other side of the =
The general form of a circle equation is (x-h)^2 + (y-k)^2 = r^2, where (h,k) represents the coordinates of the center of the circle and r represents the radius.
To convert a circle equation from standard form (x-a)^2 + (y-b)^2 = r^2 to general form (x-h)^2 + (y-k)^2 = r^2, you can use the following formula: (x-h)^2 = (x-a)^2 and (y-k)^2 = (y-b)^2. Then, solve for h and k by equating the coefficients of x and y in the two equations.
No, the general form of a circle equation requires the knowledge of the center and radius. If you do not know these values, you can use the distance formula to find the center and radius first, and then write the equation in general form.
Yes, you can graph a circle using the general form of its equation. First, plot the coordinates of the center (h,k) on the coordinate plane. Then, using the value of r, plot points that are r units away from the center in all four directions (up, down, left, right). Finally, connect these points to form the circle.
The general form of a circle equation allows for more flexibility in writing equations of circles, as it can be used to represent circles with centers at any point on the coordinate plane and with any radius. On the other hand, the standard form of a circle equation is more specific and only represents circles with centers at the origin (0,0).