Acyclist rides 8 miles in 32 minutes. what is the speed of the cyclist in miles per hour?

Well 32 minutes is half of an hour so 8 miles would be half of the full x miles
so 8 x 2 would be 16
16 miles per hour

X^2 - 4x +(4/2^2) + y^2 + 8y + (8/2^2) = -4 + (4/2^2) + (8/2^2)(x + 2)^2 + (y + 4)^2 = -4 + 4 + 16your center is (-2, -4) and the radius is the sqrt of -4 + 4 + 16 which is 4