9514 1404 393
Answer:
   (c)  162 cm
Step-by-step explanation:
The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.
   RD = 3·54 cm
   RD = 162 cm
 
        
             
        
        
        
Answer:
2x + 8y = 16 
Step-by-step explanation:
Subtract 2x from both sides of the equation.
8y = 16 − 2x 
Divide each term by 8 and simplify.
 
        
             
        
        
        
Answer:
55
Step-by-step explanation:
u divid all the numbers together then subtract 2, then times 4
 
        
             
        
        
        
 9514 1404 393
Answer:
Step-by-step explanation:
1) The slope is given by the formula ...
   m = (y2 -y1)/(x2 -x1)
   m = (4 -(-3))/(3 -0) = 7/3
__
2) The y-intercept is the point where x=0:
   (x, y) = (0, -3) . . . . . y = -3
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3) Then the slope-intercept equation is ...
   y = mx + b . . . . . . . line with slope m and y-intercept b
   y = 7/3x -3
 
        
             
        
        
        
Answer:
5000 ;
11125
Step-by-step explanation:
Given :
Total principal = 16125
Rates = 8.5% and 4%
Period, t = 2 years
Total interest = 1740
Let :
Principal amount invested at 8.5% = x
Principal amount invested at 4% = 16125 - x
Interest formula :
Interest = principal * rate * time
Hence, mathematically ;
(x * 8.5% * 2) + [(16125 - x) * 4% * 2] = 1740
(0.17x + 1290 - 0.08x ) = 1740
0.09x + 1290 = 1740
0.09x = 1740 - 1290
0.09x = 450
x = 450 / 0.09
x = 5000
Amount invested at 4% :
16125 - 5000 = 11125