Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4 
Therefore, the required equation is: y = (1/2)x + 4.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
 
        
             
        
        
        
Answer:
4.9%
Step-by-step explanation:
6600 * 107/100 = 66*107 = 7062.
3500 * 101/100 = 35x101 = 3535
7062+3535=10597. Original worth: 10100
10597-10100 = 497
497/10100 = 0.0492079208, or 4.92%, rounds to 4.9%
 
        
             
        
        
        
Answer:
A. <em>6.12</em>
Step-by-step explanation:
if you mark up 2.00$ with 240% you get 6.80 $ 
then, 0.68 is 10% of 6.80% 
if you subtract 0.68 your answer will be 6.12$
So your answer is A. 6.12$
 
        
                    
             
        
        
        
So the percentage would be 40% and then the ratio would be 3:4