Answer:
(a) x > 4   (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
 
        
             
        
        
        
Answer:
-1.96312>-2.2360
Step-by-step explanation:
first find -
which is -2.2360679775
now round it to match the lenth of the other problem
-1.96312...
-2.2360...
now remember that the bigger the negitive number, the smaller it really is,
so 
-1.96312>-2.2360
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
The equation of the line that is parallel to the line we are trying to find is

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

Therefore the equation of the line is:


 
        
             
        
        
        
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
 
        
                    
             
        
        
        
Hi!
Let's take a look at the equation:
F = C + 32
What do we notice?
C and F are both variables.
Variables are unknown numbers represented by a letter.
In this case, C and F are the variables.
Hope this helps!
- Melanie