Answer:
After 15 minutes, the temperature of both the furnaces will be same.
Step-by-step explanation:
Let  be the minutes when the temperature of both becomes same.
 be the minutes when the temperature of both becomes same.
Now, as per question:
Temperature of the furnace after  minutes that is cooling at the rate of 15 degree per minute is given as:
 minutes that is cooling at the rate of 15 degree per minute is given as:

Temperature of the furnace after  minutes that is heating at the rate of 5 degree per minute is given as:
 minutes that is heating at the rate of 5 degree per minute is given as:

Now, equating both the temperatures, we get

Therefore, after 15 minutes, the temperature of both the furnaces will be same.
 
        
             
        
        
        
The correct answer is option A
A) Equation 1 and equation 2 have no solutions
For the equation 1
l 3x-1 l +7=2
l 3x-1 l = 2-7 =-5
The absolute value should be positive
So, there is no solution
For the equation 2
l 2x+1 l +4 = 3
l 2x+1 l = 3 - 4= -1
The absolute value should be positive
So, there is no solution
        
                    
             
        
        
        
Pythagorean theorem a^2+b^2=c^2
        
             
        
        
        
Is it together or different questions to the reading
        
             
        
        
        
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:

was, before it was rationalized,

Therefore, 

The side opposite the reference angle measures 1, the hypotenuse measures square root 2.  That makes the reference angle a 45 degree angle.  From there we can determine that the side adjacent to the reference angle also has a measure of 1.  Therefore,
 and
 and
since tangent is side opposite (1) over side adjacent (1), 
tan(x) = 1