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Katarina [22]
3 years ago
9

Rodrigo needs to solve the equation x2 – 4x – 18 = 0 by completing the square. Which pair of steps is the most efficient way to

begin?
A. x2 – 4x = 18
x2 – 4x + 2 = 18 + 2

B.x2 – 4x = 18
x2 – 4x + 4 = 18 + 4

C.x2 – 4x = 18
x2 – 4x + 81 = 18 + 81


D.x2 – 4x = 18
x2 – 4x + 16 = 18 + 16
Mathematics
2 answers:
Fiesta28 [93]3 years ago
7 0

Answer:

Its B. I just took the quiz

Step-by-step explanation:

hope this helps :)

maksim [4K]3 years ago
3 0

Answer:

B.x2-4x=18

x2-4x+4=18+4

Step-by-step explanation:

When you complete the square your quadratic equation must be written in the standard form which is ax^2+bx+c.

First you are going to want to move your c term to the right (in this case move -18 to the right by adding 18 to both sides). This will get you x^2-4x=18. Now you are going to need to complete the square. To complete the square you divide the number in the bx term (in this case -4) by 2 and then square it. (-2^2=4 since a negative times a negative equals a positive). Now that you have 4 you are going to add it to both sides to get x2-4x+4=18+4.

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Ali finished his history assignment in 1/4
Lina20 [59]
Hello there!

For this you simply need to give both fractions a common denominator!

The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.

So:

1/4 --> ?/12 --> 1 (3) / 12 --> 3/12

2/3 --> ?/12 --> 2 (4) / 12 --> 8/12

Total amount of time means the sum (adding them together).

When adding fractions, you MUST have a common denominator! (Which is what we just did).

So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours

Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)

Hope this helped!

-------------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
4 0
3 years ago
What are the angles of rotation for a 20-gon?
Basile [38]
There are 360 degrees so divide 360 by 20 and get 18 degrees
4 0
3 years ago
Read 2 more answers
It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra
aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.  

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

P(R/TH)=\frac{P(R y TH)}{P(TH)}

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

P(R/TH)=\frac{0.45}{0.6} =0.75

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0
3 years ago
What is the best definition of a triangle?
NISA [10]

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

3 0
3 years ago
Read 2 more answers
Which points are on the graph of g(x) = (1/5)^x
11111nata11111 [884]

Answer:

A) The point( -1 , 5)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

B) The point( 3 , 1/125)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given graph  

               y =      g(x) = (\frac{1}{5} )^{x}

Put the point ( -1 , 5)

Put y =5 and x =-1

            5 = (\frac{1}{5} )^{-1} = 5

The point( -1 , 5)  is satisfies the  given graph

ii)

Given graph  

               y =      g(x) = (\frac{1}{5} )^{x}

             \frac{1}{125}  = (\frac{1}{5} )^{3} = \frac{1}{125}

The point( 3 , 1/125)  is satisfies the  given graph  g(x) = (\frac{1}{5} )^{x}

                 

7 0
3 years ago
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