Answer:
The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
Step-by-step explanation:
The point-slope form of the equation of a line is:
where
-
is the slope of the line and, -
is a point on the line.
As the slope is 
, and the point is 
so
Equation of the line will be:
Further simplifying
Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
Answer: 14,515,200
Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
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Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
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A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
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The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
Answer:
x>=35
Step-by-step explanation:
-4(x+10)>= -7x + 65
-4x-40>= -7x+65
-4x+7x>=65+40
3x>=105
x>=105/3
x>=35
Answer:
0 and 2
Step-by-step explanation:
Let the two consecutive integers be 2x and 2x+2
We are given that twice the larger integer is four more than half of the smaller integer
So, Two consecutive integers are 2(0)=0 and 2(0)+2=2
Hence the two consecutive integers are 0 and 2
Answer:
a record of all the mail that a mailbox identifies as Junk
