Write the equation of the circle.
A circle with a diameter having endpoints at (0, 1) and (6,-4)

(x - 3)² + (y + 1.5)² = 15.25

Step-by-step explanation:

Centre: midpoint of the diameter

(h,k) = (0+6)/2, (1-4)/2

= (3, -3/2)

Radius = ½(diameter)

Diameter = sqrt(6² + (-4-1)²)

sqrt(61)

Radius = sqrt(61)/2

Equation:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 1.5)² = 15.25

45

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours