A) I would make the positive integer x and then form an equation. 
x + 30 = x^2 - 12 
x + 42 = x^2 
0 = x^2 - x - 42 this can be factorised 
(x - 7) ( x + 6) Therefore x = 7 or x = -6 
Since the question asks for a positive integer the answer is 7. 
B) two positive numbers x and y. 
X - y = 3 
x^2 + y^2 = 117 
Use these simultaneous equations to figure out each number. 
Rearrange the first equation 
x = y + 3
Then substitute it into the second equation. 
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0 
then factorise this. 
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number. 
Use y to find x 
x = y + 3
x = 6 + 3
x = 9 
So the answers are x = 9 and y = 6.
        
             
        
        
        
Answer:
Find the value of x:-
To find Y, use Pythagorean theorem:- 




subtract 1.96 from both sides


Now, to find x:-



<u>~OAmalOHopeO</u>
 
        
             
        
        
        
Answer:
k = 10
Step-by-step explanation:
Difference means subtract.
2k - 8 = 12 
is how that statement is translated.
Add 8 to both sides.
2k - 8 + 8 = 12 + 8
2k = 20                    
Divide by 2
2k/2 = 20/2
k = 10
 
        
             
        
        
        
Answer: y=Mx+b 
Step-by-step explanation:
G
 
        
             
        
        
        
Answer:
72cm
Step-by-step explanation:
A=a^2
p=4a
p=4√A=4x√324=72 cm