HELP!! PLEASE, 19 POINTS!! The equation (X squared + Y squared - 6x + 4y = d) describes a circle.1. Determine the Y-coordinate of the center of the circle. (Hint.... Complete the square)2. The radius of the circle is 6 units. What is the value of "d" in the given equation?
Accepted Solution
A:
we have that
x²-6x+y²+4y=d Group
terms that contain the same variable (x²-6x)+(y²+4y)=d Complete
the square twice. Remember to balance the equation by adding the same constants
to each side (x²-6x+9)+(y²+4y+4)=d+9+4 Rewrite as perfect squares(x-3)²+(y+2)²=d+13
the center of a circle is (3,-2) the radius r²=d+13---------> 6²=d+13---------> d=36-13------> d=23
the answer is the Y-coordinate of the center of the circle is -2 d is equal to 23