Answer:
Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).
Let, the line be y = - x + b and it passes through (15, -5).
So, 15 = 5 + b
b = 10.
So, equation of that line: y = -x + 10
Or, x + y = 10.
Y-intercept of the line = 10 units.
 
        
                    
             
        
        
        
For this case what you should do is use the following trigonometric relationship:
 sin (x) = C.O / h
 Where
 x: angle
 C.O: opposite leg
 h: hypotenuse
 Substituting the values we have:
 sen (60) = long / h
 sen (60) = 3 / h
 h = 3 / sin (60)
 h = 3.46
 Answer:
 h = 3.46
        
                    
             
        
        
        
Answer:
495
Step-by-step explanation:
In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given. 
a1=3(1)-1        a1=2
a18=3(18)-1   a18= 53
Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  
Sn=18/2(2+53)  Solve for sn= 495
 
        
             
        
        
        
Answer:
x = -3/10
Step-by-step explanation:
Solve for x by substituting y = 3x into the other equation:
2x - 4y = 3
2x - 4(3x) = 3
Simplify and solve for x:
2x - 12x = 3
-10x = 3
x = -3/10
So, x = -3/10
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
- <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>
<u>Percent increase:</u>
<u>Percent decrease:</u>
- (70 - 50)/70*100% = 28.57%
<u>Compare:</u>