Answer:
DC = 2
Step-by-step explanation:
The wrong equation was used.
The right equation to use based on the midsegment theorem of a trapezoid is:
MN = ½(AB + DC)
MN = 8
AB = 14
Substitute
8 = ½(14 + DC)
Multiply both sides by 2
8*2 = ½(14 + DC)*2
2*8 = 14 + DC
16 = 14 + DC
16 - 14 = 14 + DC - 14
2 = DC
DC = 2
Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
Answer:- 
Step-by-step explanation:
The given ration is 16 :40
In fraction, the above ratio can be written as : 
To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.
Since, 
, Hence, 8 is the greatest common divisor of 16 and 40.
Now, divide the numerator and denominator by 8, we get
C = 4500 + 150s
4500 is fixed, so what remains is just 150$ per ton of sugar (so 150 x s)
If we substitute 12 for s we get:
C = 4500 + 150*12
C = 6300
