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natka813 [3]
2 years ago
8

A square + b square + c square equal to ab+ba+ca show that ​

Mathematics
1 answer:
Evgen [1.6K]2 years ago
5 0

Answer:

a² + b² + c² ≠ ab + bc + ca

<h3><u>PLEASE</u><u> MARK</u><u> ME</u><u> BRAINLIEST</u><u>.</u></h3>
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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?
MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So,  4# · 3# · 2# · 1#? =  6912 · 24 · 2 · 1? = 331776

7 0
3 years ago
49/10 as a mixed number
anastassius [24]
4 9/10 is your answer because you first have to divide the numerator by the denominator. this will give you 4, with a remainder of 9. The mix number can be created by using the 4 as the whole number, the 9 as the numerator and the 10 as a denominator. So, 49/10 = 4 9/10. Hope this works!
5 0
3 years ago
Read 2 more answers
How to solve -5y-y=1
goldenfox [79]
Since both y’s are negative you can combine them to make -6y=1 then you divide -6 on each Side to get y=6
5 0
3 years ago
Read 2 more answers
Factor −13 out of −13x−8.
Citrus2011 [14]

Answer:

i believe its x+5

Step-by-step explanation:

you add 13 to both numbers

8 0
3 years ago
Read 2 more answers
Rogers Company reported net income of $35,000 for the year. During the year, accounts receivable increased by $7,000, accounts p
storchak [24]

Answer:

correct answer is  option C.

Step-by-step explanation:

net income of a year =  $35,000

accounts receivable is increased (AR)= $7,000

accounts payable decrease(AP) = $3,000

depreciation expense = $8,000

net cash provided = net income - increase in current asset (AR) - decrease in  current asset (AP) +non cash flow

net cash provided =  $35,000 -$7,000-$3,000+ $8,000

                               = $33000

hence the correct answer is  option C.

4 0
3 years ago
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