Answer:
C
Step-by-step explanation:
This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.
Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:
10 C 6 = 10!(6!4!)
If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1
10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]
10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]
We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3
10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]
We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:
10 C 6 = 10*3*7*/1 = 210/1= 210
So, option C
Bug P has moved to +12 in 4 seconds, so is moving +3 units in each second.
.. x = 3t
Bug N has moved to -8 in 4 seconds, so is moving -2 units in each second.
.. y = -2t
_____
"per" means "divided by" (and vice versa), so -8 units per 4 seconds means
.. (-8 units)/(4 seconds) = -2 units/second . . . . . . . . reduce the fraction
When you multiply this fraction by a number of seconds, you cancel the "seconds" and the result is some number of units. For example,
.. (-2 units/second)*(4 second) = -8 units·second/second = -8 units
That is, speed multiplied by time gives distance.
In the equations above, we understand that the "3" means "3 units/second", and the "t" means "t seconds". Then when you multiply, the resulting x means "x units". The measures are usually left off and the equations are understood to give correct results when the variables have appropriate measures.
72,000 x .06 = 4320................
Answer:
y= -x
Step-by-step explanation:
First, let's put the line in y=mx+b form
8x-4y=12
Subtract 8x over
-4y= -8x+12
Then divide everything by -4
y=2x-3
To find the perpendicular slope, negate the slope and flip the numerator and the denominator
Original Slope: 2/1
Flip: 1/2
Negate: -1/2
Then, use the point slop formula to find the equation of the line.
(y-)=m(x-)
Insert (0,0) in for and -1/2 in for m
y-0= -1/2(x-0)
Distribute the -1/2
y-0= -1/2x+0
Add the 0 over
y= -1/2x