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Mumz [18]
3 years ago
14

Which of the following correctly completes the the square for the equation below? x^2+18x=0

Mathematics
2 answers:
Nookie1986 [14]3 years ago
4 0
X² +18x = 0

To complete the square we are going to use formula a² +2ab +b² = (a+b)²

x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18

The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18

My name is Ann [436]3 years ago
3 0
We know that a perfect square has the form
(x+y)^2 = x^2+2xy+y^2
If we substitute the numbers in the given equation, we have 
(x+y)^2 = x^2+2xy+y^2 = x^2+2x(9) + y^2
By comparison of the coefficients of the term xy, we have y=9, hence we need y^2=9^2=81 to complete the square. 

The completed square would be
(x+9)^2-81=0  (which expands back to x^2+18x=0)

However, if the objective is to solve the equation, I would solve it by factoring, i.e. 
x^2+18x=0 => x(x+18)=0 => x=0 or x=-18
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Help with #8 please
Ahat [919]

Answer: (2) p=67 and q=15

Step-by-step explanation:

If you 82 and 31 together you would get 113 and you know that a triangle equals 180° so you take 180-113 and you get 67. You do the same for the other triangle you take a 98° and the new angle which is 67 and add them together and you get 165 so then you get 180 which is your overall triangle degree and subtract 165 from it and you get 15 which is Q, angle Q equals 15°

5 0
3 years ago
F(x)=1x^2+8x-5 what the answer
Musya8 [376]
Im sorry i dont know this                    
5 0
2 years ago
Line is defined as a ______________________ a. a geometric shape that is open and moves from one point to another. b. a slowly c
d1i1m1o1n [39]

Answer:

i think it's a. Not so sure though

4 0
3 years ago
Read 2 more answers
What is the missing length?
skad [1K]

Answer:

6.1

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of the bases

108.6 = 1/2 ( 12+p) *12

108.6 = 6 (12+p)

Divide each side by 6

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18.1 = 12+p

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4 0
2 years ago
A jar contains 1,200 M&M's and everyday your family eats 1/5th of the candies. After how many days will there be 314 M&M
mrs_skeptik [129]
The equation is 314 = 1,200 - 240x

1,200 is the number of M&M's it starts with
The problem said the family eats 1/5th of the candy every day
1/5 of 1,200 is 240
It is a -240 because the amount of m&m's is getting fewer each day
The x stands for the number of days

Sorry but I'm not sure if I could answer your problem exactly
The answer is 3.69 days
Because there isn't an exact day that there would exactly 314 M&M's left

7 0
3 years ago
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