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Paha777 [63]
3 years ago
7

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be repres

ented by a perfect square model?
a. x2 – 6x + 9
b. x2 – 2x + 4
c. x2 + 5x + 10
d. x2 + 4x + 16
Mathematics
2 answers:
lina2011 [118]3 years ago
8 0
The correct answer is 
A) x^2 - 6x + 9

In fact, this is a trinomial of the form ax^2-bx+c, whose solutions are given by
x_{1,2}=  \frac{-b\pm \sqrt{b^2 -4ac} }{2a}
Using this formula for the trinomial of the problem, we find:
x1,2=  \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form: 
</span>(x-3)^2<span>
</span>
marin [14]3 years ago
8 0

Answer:

a. x2 – 6x + 9

Step-by-step explanation:

In order to solve this you just have to try and factorize the options and the result should be two exact binomials. Remember that the formula for perfect square trinomial is:

a^{2} +2ab+b^{2} =(a+b)(a+b)

So we only have to factorize x2-6x+9=

As you can see, a is equal to X, and b equals 3:

(x-3)(x-3)=x2-6x+9

SO this is a perfect square trinomial.

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gulaghasi [49]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the
Lina20 [59]

Answer:

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3 0
3 years ago
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Help!!!!<br>Given log7⁡3≈0.5646 and log7⁡16≈1.4248, evaluate the expressions.​
Alinara [238K]

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

  • log(2) / log(7)
  • 0.356

b) log₇ (¹⁴⁷/₁₆)

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6 0
2 years ago
Which of the following is equivalent to 7(2x+1)-2(6x+3)=15
Ivenika [448]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?​
kozerog [31]

Answer:

P(x) =  (x-1)² (x-3)

Step-by-step explanation:

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P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

3 0
3 years ago
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