Answer:
5.8
Step-by-step explanation:
Side KI is proportional to HF, and as we know GH is proportional to JK, we can make a proportion. x/31 = 8/43, 43x = 248, so x = 5.767, which rounds to 5.8
 
        
             
        
        
        
Answer:
 531,441·g^6·h^8
Step-by-step explanation:
The operative rule of exponents is ...
 (a^b)^c = a^(b·c)
Working from the inside out, according to the order of operations, we get ...
 = (9^3·g^3·h^4)^2
 = 729^2·g^(3·2)·h^(4·2)
 = 531,441·g^6·h^8
 
        
             
        
        
        
Answer:
6 Days
Step-by-step explanation:
Practically:
It takes,
10 Men ( complete ) 5 Copies --> 6 Days
So, 2 Men can complete 1 copy in 6 days.
Question asks us :
8 Men ( complete ) 4 Copies --> X Days
It will take 6 days because the proportion of men to copies is same as the first equation.
Theoretically:
10 Men 5 Copies 6 Days
8 Men   4 Copies  X Days
> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )
> 6/X = 8/10 . 5/4
> 6/X = 40/40
> 6/X = 1
<h2>
> X=6</h2><h2>
</h2><h2><em>
I hope it will be understood.</em></h2><h2><em>
If I have any inaccuracies please let me know.</em></h2><h2><em>
Have a nice day and never stop questioning!</em></h2><h3><em>
</em></h3>
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Proportional functions are of the form y=kx where k is the constant of proportionality.
k=y/x in this case
k=1008/3.5
k=288
 
        
             
        
        
        
Answer:
y = -1/4x + 3
Step-by-step explanation:
Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:
y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.
So the equation of this line is y = -1/4x + 3.