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yarga [219]
3 years ago
11

VERY URGENT PLEASE HELP

Mathematics
1 answer:
ira [324]3 years ago
6 0
Use the tutor app to help you he or she will help you for each problem.
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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
Molodets [167]
<h2>Perfect Squares</h2>

Perfect square formula/rules:

  • a^2+2ab+b^2=(a+b)^2
  • a^2-2ab+b^2=(a-b)^2

Trinomials are often organized like ax^2+bx+c.

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

  • Perfect square trinomial: ax^2+bx+(\dfrac{b}{2})^2
  • or ax^2-bx+(\dfrac{b}{2})^2

<h2>Solving the Question</h2>

We're given:

  • c^2-4c

In a trinomial, we're given the ax^2 and bx values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

  • 4 ÷ 2 = 2
  • 2² = 4

Therefore, the term that we can add is + 4.

c^2-4c+4

To write this as the square of a bracketed expression, we can follow the rule a^2-2ab+b^2=(a-b)^2:

(c-2)^2

<h2>Answer</h2>

c^2-4c+4

(c-2)^2

4 0
2 years ago
Write the set of real numbers in interval notation. {x | x ≥ −8}
Vikentia [17]
The answer is: [-8, \infty)

Which can be written as: [-8, infinity) 

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set". 

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers. 
8 0
3 years ago
The histogram below shows information about the number of books students read in a month:
max2010maxim [7]

Answer:

Option C is true - The number of students who read 4 books or fewer

Step-by-step explanation:

Here, to find the mean and median, we do not have proper information or specific values. We just have the ranges, so both the mean and median cannot be determined.  So, options A and B are not correct.

We can see two bins covering the 9 or more books, so option D cannot be true either.

Therefore, only option C is left and that is true.-  the number of students who read 4 books or fewer.

6 0
3 years ago
Please help me!<br> simplify. 5-[-(-20] <br> a. -3<br> b.3<br> c.-7<br> d.7
frosja888 [35]

Im sorry i dont know

8 0
4 years ago
Brenda noticed that the reptile building at the zoo was located at the point (-3, 4) on the zoo map. Name the quadrant of the ma
rodikova [14]
It is located in quadrant 2
4 0
3 years ago
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