Parallel lines must have the same slope. However for them to be UNIQUE lines, ie different lines, they must have a different y-intercept.
So if we say generally that a line is y=mx+b where m is the slope and b is the y-intercept then these two unique parallel lines would be:
y1=mx+h and y2=mx+k
Where m is the same for both and each have unique constants h and k where they cross the y-axis
Answer:
2 units of X and 5 units of Y
Step-by-step explanation:
(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)
This condition holds for the following cases
1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)
2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)
For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).
In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).
Optimal case contains X = 2 units, Y = 5 units.
The answer is k equals to 4
Answer:
radius x radius x pi / 2 = semicircle area
2.5 x 2.5 x 3.14 / 2 = 9.8125
Hope this helps
The area of circle is the same thing without dividing 2
Step-by-step explanation:
