D is the answer because all you have to do is solve
        
                    
             
        
        
        
(3x+1)+(2x+4)=90
3x+1+2x+4=90
5x+5=90
5x=85
x=17
        
             
        
        
        
Using it's concept, it is found that the range of the function  is given by:
 is given by:
all real numbers greater than 0.
<h3>What is the range of a function?</h3>
It is the set that contains all possible output values for the function.
In this problem, the function is:

For <u>exponential functions without vertical shifts</u>, as is the case in this problem, the range is given by:
all real numbers greater than 0.
More can be learned about the range of a function at brainly.com/question/10891721
#SPJ1
 
        
             
        
        
        
Answer:
Option C) The value of a is correct, but the value of b is incorrect.
Step-by-step explanation:
z = 8(cos(300°) + isin(300°))
z = 8cos(300°) + 8isin(300°)

So we can see that a = 4 which is correct but b =  and b in the question says it is b
 and b in the question says it is b  so its incorrect so Option C is your answer.
 so its incorrect so Option C is your answer. 
 
        
                    
             
        
        
        
Answer:
3.58
Step-by-step explanation:
Given :
y = 2x + 4 -------- eq1
y = 2x - 4 -------- eq2
sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.
Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2
This gives us y = 2(-2) + 4 = 0
Hence we get a point (x,y) = (-2,0)
Step 2: express equation 2 in general form (i.e Ax + By + C = 0)
y = 2x-4 -------rearrange---> 2x - y -4 = 0
Comparing with the general form, we get A = 2, B = -1, C = -4
Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).
substituting the values for A, B, C and (x, y) from the previous step:
d = | (2)(-2) + (-1)(0) + (-4) |  / √(2² + (-1)²)
d = | -4 + 0 - 4 |  / √(4 + 1)
d = | -8 |  / √5
d = 8  / √5
d = 3.5777
d = 3.58 (rounded 2 dec. pl)