Step-by-step explanation:
Let the area of rectangle with given points are as follows : 
A(-3,3) 
B(3,2)
C(4,-1) = C( x1,y1)
D(-2,-3) = D( x2, y2)
Now, 
-  The distance of CD = root under 
 (x2-x)^2 +( y2 - y1)^2 
 = root under (-2-4)^2 + ( -3+1)^2
 = root under (-6)^2 + (-2)^2 
 = root under 36 + 4
 = root under 40 
 = 2root 10 
Therefore; the unit number if CD is 2 root 10.
 
        
             
        
        
        
First, you want to divide both sides by 3 to isolate your variable. You get x^2 = 9. The square root of x^2 and 9 equals x = 3. 
x = 3 is your answer.
        
             
        
        
        
Answer:
0≥x<4
Step-by-step explanation:
first, let's look at this number line.
there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).
these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.
x is in the middle of this compound inequality.
0    x    4
now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:
0≥x<4
x is greater than or equal to 0, but less than 4
 
        
             
        
        
        
Answer:
Changing value of "d" changes the vertical shift of the cosine graph.
Step-by-step explanation:
Question says to find about how does your cosine graph change when including the d-value.
General equation of cosine function can be given as:

In that formula, value of  "d" gives vertical shift.
So changing value of "d" changes the vertical shift of the cosine graph.
 
        
             
        
        
        
Answer:b=2.5555555555...
Step-by-step explanation:9b= -23, 9b/9=b, -23/9=2.55555..., b=2.55555...