Step-by-step explanation:
step 1 :first solve one linear equation for y in terms of x 
step 2: then substitute that expression for y in the other linear equation 
step 3 :solve this and you have the x-coordinate of the intersection
step 4: then plug in a to either equation to find the corresponding y -coordinate 
 
        
             
        
        
        
Answer:
He made a mistake in the second line.
Step-by-step explanation:
 He factored out x out of 6-2x and 5+4x, which is not possible because there is not an x in both 6 and 5.
 
        
                    
             
        
        
        
Multiply the numerator and denominator of the first question by 2 in order for both of the denominators to be the same.
1*2=2
3*2=6
Now that the denominators are the same, we can simply add the numerators and simplify if possible.
(2/6)+(1/6)= (3/6)
(3/6)= (1/2)
Final answer: 1/2
        
                    
             
        
        
        
Answer: After 1 year:    $5,610
After 2 years: $5,722.20
Step-by-step explanation: Use the formula for periodic compounding interest, which is
A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.
Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,
t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)
Plug the known values in to solve...
For 1 year...
A = 5,500(1 + 0.02/1)^(1*1)
   A = 5,500(1.02)^1
      A = 5,610
For 2 years...
A = 5,500(1 + 0.02/1)^(1*2)
   A = 5,500(1.02)²
      A = 5,722.20
 
        
             
        
        
        
Answer:
506.7 cm²
Step-by-step explanation:
The amount of cardboard needed would be the surface area of the cone, 
S= pi(r)(l+r) where r is the radius and l is the slant height. 
You can find l using the Pythagorean theorem. l²=r²+h² which is l²=6²+20² and you get l = √436. 
Plug r and l into the equation: S = 6pi(√436 + 6) = 506.7 cm²
Let me know if you have any questions about my steps!