the temperature at 12 noon was 10 degree Celsius above 0.decrease at the rate of 2 degree Celsius per hour until midnight at what time would temperature be 8 degree Celsius below zero? what would be temperature at mid-night?

To find out at what time the temperature would be 8 degrees Celsius below zero and what the temperature would be at midnight, we can follow these steps:

Step 1: Determine the temperature change from 12 noon to midnight.
Given that the temperature decreases at a rate of 2 degrees Celsius per hour, and the temperature at 12 noon is 10 degrees Celsius above zero, we can calculate the temperature change as follows:
Temperature change = (10 degrees Celsius) + (2 degrees Celsius per hour) × (Number of hours till midnight)

Step 2: Calculate the time it takes to reach 8 degrees Celsius below zero.
Since the temperature is decreasing by 2 degrees Celsius per hour, we need to determine the number of hours it takes to reach 8 degrees Celsius below zero, using the formula:
Number of hours = (Temperature change) / (Rate of decrease per hour)

Step 3: Calculate the time when the temperature would be 8 degrees Celsius below zero.
To find out the time at which the temperature would be 8 degrees Celsius below zero, we subtract the number of hours calculated in Step 2 from 12 noon:
Time = 12 noon - (Number of hours)

Step 4: Calculate the temperature at midnight.
Since the rate of decrease is 2 degrees Celsius per hour, and there are 12 hours from 12 noon to midnight, we can calculate the temperature at midnight as follows:
Temperature at midnight = (10 degrees Celsius) - (2 degrees Celsius per hour) × (Number of hours from 12 noon to midnight)

Now we can proceed to calculate the values:

Step 1: Temperature change from 12 noon to midnight
Temperature change = 10 + (2 × 12) = 10 + 24 = 34 degrees Celsius

Step 2: Calculate the time it takes to reach 8 degrees Celsius below zero
Number of hours = 34 / 2 = 17 hours

Step 3: Calculate the time when the temperature would be 8 degrees Celsius below zero
Time = 12 noon - 17 hours = 7 am

Step 4: Calculate the temperature at midnight
Temperature at midnight = 10 - (2 × 12) = 10 - 24 = -14 degrees Celsius

Therefore, the temperature would be 8 degrees Celsius below zero at 7 am, and the temperature at midnight would be -14 degrees Celsius.

10º - 2ºh = -8º

Solve for h.