What is the midpoint of a segment whose endpoint are (-3,-3) and (-13,-13)
1 answer:
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Answer: 5,760
Step-by-step explanation:
It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs.
Let D represent the dogs and C represent the Cat , then we have
D C D C D C D C D D or
D D C D C D C D C D or
D C DD C D C D C D or
D C D C D D C D C D or
D C D C D C DD C D
Each of the arrangements above could be done in
2 x 4! x 4! ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )
= 2 x 24 x 24
= 1 , 152
The total arrangement = 5 x 1 , 152
= 5,7 60 ways
Let's take a look at a perfect square trinomial.
We can distribute this expression to get
.
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
to make a perfect square trinomial, we could have the value of x and then square it.
Half of 16 is 8, and 8 squared is
We can distribute this expression to get
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to
Half of 16 is 8, and 8 squared is