Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be = 80
ii) let the second term be =
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be =
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be =
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
To arrange in descending order or greatest to least, we will first convert all the values in same unit.
Lets convert all the values in kg
1 lb = 0.45 kg
2 lb = kg
1 g = 0.001 kg
891 g = kg
1 T = 907.185 kg
0.02 T = kg
Hence all values in kg becomes = 0.90 kg , 0.891 kg , 1 kg , 18.14 kg
So in descending order the values become
0.02T, 1 kg, 2 lb, 891 g
Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation
Thus
Therefore
