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MatroZZZ [7]
3 years ago
9

R2+2r-33=0 solve by completing the square

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
R^2+2r-33=0  move constant to other side by adding 33 to both sides

r^2+2r=33   halve the linear coefficient, square it and add to both sides, in this case it is just one

r^2+2r+1=34  now the left side is a perfect square...

(r+1)^2=34  take the square root of both sides...

r+1=34^(1/2)  subtract 1 from both sides

r=-1+34^(1/2) and -1-34^(1/2)
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X+3y=3<br> 2x-4y=6<br><br> solve the equations
Gelneren [198K]
Subtract the second equation from double the first equation:

2x+6y-2x-(-4y)=0

10y=0

Therefore, y=0.  Substituting this into the first equation, we see that:

x+3(0)=3

x=3

Therefore, x=3.  The solution to this system is x=3, y=0, or (3, 0).
4 0
3 years ago
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Alexander is building a rectangular pen in his backyard for his dog. The pen will have a length of 13 feet and a width of 2x fee
Drupady [299]

4x+26

Step-by-step explanation:

to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.

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5 0
3 years ago
5(x+6)+11=25-3x what is the answer?
Zolol [24]
This is how I did it:
5(x + 6) + 11 = 25 - 3x          use distribution
5x + 30 + 11 = 25 - 3x          use addition
5x + 41 = 25 - 3x                  use addition and subtraction
8x = -16                                use division
x = -16/8
x = -2

So your answer is x = -2


3 0
3 years ago
What is fourteen and five ninths plus six and seven ninths
Setler [38]
In number form, your question is:
14 5/9 + 6 7/9 = ?
We can now understand this easier, and answer it.
Add your whole numbers first to not get confused.
14 + 6 = 20.
Now add your fractions.
5/9 + 7/9 = 12/9, = 1 3/9.
Add 1 to your whole number.
20 + 1 = 21.
You are left with 21 3/9.
Your answer is 21 3/9.
I hope this helps!
8 0
3 years ago
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What is the complement of a 45 degree angle. Question 2 options:
romanna [79]
Your answer is d thanks
5 0
3 years ago
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