Answer:
15
Step-by-step explanation:
since both equations are set with a right angle, the equation must be equal to 90 degrees. So you set the equation as 
13+x+4x+2=90
add the x variables together and the constants separately
15+5x=90
then subtract 15 from both sides.
15+5x=90
-15      -15
5x=75
then divide 5 from both sides.
75/5= 15
so x is 15 :).
 
        
                    
             
        
        
        
Number of cubes increases by 3 for each term. 
an= 3n+1
        
                    
             
        
        
        
Answer:
Correct option: first one -> y = (1/3)x + (10/3)
Step-by-step explanation:
The linear function that represents a line is:
y = ax + b
Where a is the slope and b is the y-intercept.
First we need to find the slope of the line that goes through (0, -3) and (3, -2).
Using both points, we can find the equation of the line:
x = 0 -> y = -3
-3 = a*0 + b
b = -3
x = 3 -> y = -2
-2 = 3a - 3
3a = 1
a = 1/3
The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:
y = (1/3)x + b
The parallel line goes through the point (-4, 2), so we have:
x = -4 -> y = 2
2 = (1/3)*(-4) + b
b = 2 + (4/3)
b = 10/3
So the equation of the parallel line is:
y = (1/3)x + (10/3)
Correct option: first one
 
        
             
        
        
        
Answer:
3/8
Step-by-step explanation:
Slope is the same as rise over run, or y/x. In this case, rise over run is 15 over 40, or 15/40. Simplified, this is 3/8.
 
        
             
        
        
        
Answer:

Step-by-step explanation:
The given expression is

To find the equivalent expression of the given one, we just have to factor.
In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6

Therefore, the equivalent expression is
