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ki77a [65]
3 years ago
11

Prove algebraically that n^2-2-(n-2)^2 is always even

Mathematics
2 answers:
Juliette [100K]3 years ago
6 0

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

{n}^{2}  - 2 - ( {n}^{2}  + 4 - 4n) =  \\  {n}^{2}  - 2 - {n}^{2}   - 4  +  4n = \\ 4n - 6 = 2(2n - 3)

tresset_1 [31]3 years ago
3 0

Step-by-step explanation:

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The length of a rectangle is 3 inches more than it width.The perimeter of the rectangle is 34 inches. The length of the rectangl
kodGreya [7K]

Answer:

Width = 7 inches

Length = 10 inches

Step-by-step explanation:

We know the 2(length + width) = 34, and we know that length = 3+width. Therefore, we can use substitution. 2(3+width+width) = 34, and we can see that the width is 7. The length of the rectangle is 7+3=10

5 0
3 years ago
Solve for c:<br><br><br><br> c + (-20) = -12
alexira [117]

Answer:

8

Step-by-step explanation:

Isolate and solve for C

c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8

6 0
3 years ago
Read 2 more answers
Find the inverse of the following functions f(x)=6-3x g(x)=x+2
astraxan [27]
      f(x) = -3x + 6
          y = -3x + 6
          x = -3y + 6
     x - 6 = -3y
       -3       -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)

 g(x) = x + 2
     y = x + 2
     x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)
4 0
3 years ago
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Please help w my geometry! I need to show my work too. 10 points
salantis [7]
Because AB is a midsegment, the length of AB is half he length of XZ so basically you do
2(3x-1)=34.
Divide 2 by both sides to get 3X-1=17
Add 1 to boh sides to get 3X=18
Divide 3 from boh sides to get X=6
Hope this helps :)
3 0
4 years ago
What is 3 times x =43
Inessa [10]

Answer:

3x=43

x=43÷3

x=14.35(appro)

Step-by-step explanation:

First divide 3 by 43

THEN you will find the Answer

3 0
3 years ago
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