Paddy has a circular fishpond in the middle of his square backyard. The fishpond has a circular stone border. The radius of the fishpond is one foot less than the radius from the center of the pond to the outer edge of the stone border. The width of Paddy's yard is 6 feet more than the diameter of the fishpond and border. Let x be the radius in feet of the fishpond. Write an expression for the area of the yard that is not taken up by the fishpond and border. A. (4−π)x^2+(24+2π)x+(36−π)
B. (4x^2+32x+64)−π(x^2+2x+1)
C. 4x^2−πx^2+32x−2πx+64−π
D. both B and C

x=2 (third option)

Step-by-step explanation:

Equation of a line

Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:

y - k = m ( x - h )

We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:

y - 9 = -3 ( x - (-1) )

Operating:

y - 9 = -3 ( x + 1 )

y - 9 = -3x - 3

Adding 9:

y = -3x + 6

To calculate the zero of the function we set y=0 and solve for x:

-3x + 6 = 0

Subtracting 6:

-3x = - 6

Dividing by -3

x = - 6 / ( - 3 )

x = 2

x=2 (third option)