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Irina-Kira [14]
3 years ago
15

C(x)=x^2+6x+14 find vertex form

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

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Answer:

Step-by-step explanation:

You have  the  points (4, 14), (22, 6), and (16, 18).

It is important to remember that he first number of each point is the x-coordinate of that point and the second number of each one of them is the y-coordinate of that point.

Therefore, knowing the above, you can mark each point, as you can observe in the image attached, and then you can connect the points to form the triangle shown in the image.

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one person can doa certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will
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First person = 10 min
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In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the sum of two prime numbers. Ma
mezya [45]

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

<h3>What is Goldbach's conjecture?</h3>

One of the most well-known and enduring open questions in number theory and all of mathematics is Goldbach's conjecture. It says that the sum of two prime numbers is the even natural number higher than two.

<h3>According to the given information:</h3>

A. 24 can be expressed as:

   24 = 19 + 5

B. 50 can be expressed as:

    50 = 43 + 7

C. 86 can be expressed as:

    86  = 83 + 3

D. 144 can be expressed as:

    144 = 139 + 5

E. 210 can be expresses as:

    210 = 199 + 11

F. 264 can be expresses as:

  264 = 257 + 7

The Goldbach's conjecture is true for each of the following even numbers.

(a) 19+5

(b) 43+7

(c) 83+3

(d) 139+5

(e) 199+11

(f) 257+7

To know more about Goldbach's conjecture visit:

brainly.com/question/13193113

#SPJ4

I understand that the question you are looking for is:

In 1742, Christian Goldbach conjectured that every even number greater than 2 can be written as the sum of two prime numbers. Many mathematicians have tried to prove or disprove this conjecture without succeeding. Show that Goldbach’s conjecture is true for each of the following even numbers.

a. 24,

b. 50,

c. 86,

d. 144,

e. 210,

f. 264

7 0
2 years ago
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