1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Norma-Jean [14]
3 years ago
7

7. All of the following are perfect square trinomials EXCEPT one. Which is it?

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

(a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}, \forall\,a,b\in\mathbb{R}

Let prove if each option observe this:

a) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}

1) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2} Given

2) (2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 2\cdot x, b = 3\cdot y Definition of perfect square trinomial/Result.

b) 9\cdot a^{2}-36\cdot a + 36

1) 9\cdot a^{2}-36\cdot a + 36 Given.

2) (3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 3\cdot a, b = 6 Definition of perfect square trinomial/Result.

c) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}

1) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2} Given

2) x\cdot y\cdot (1-4\cdot x+4\cdot x) Distributive property.

3) x\cdot y \cdot 1 Existence of the additive inverse/Modulative property.

4) x\cdot y Modulative property/Result.

d) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}

1) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4} Given

2) (a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2}) Definition of power/Distributive, associative and commutative properties.

3) a = a\cdot b, b = 2\cdot a^{2} Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

You might be interested in
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat
Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0
2 years ago
What’s the domain and range
Softa [21]

Answer:

domain is x range is y

Step-by-step explanation:

4 0
3 years ago
What is the sum of 4.5 × 10^8 and 8.9 × 10^8?
Andrei [34K]

Answer:

i think that the correct answer is a

Step-by-step explanation:

4 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (10,3) and (2,9)
Anastaziya [24]

Answer:

(6,6)

Step-by-step explanation:

To find the x coordinate of the midpoint take the average of the x coordinates of the endpoints

(10+2)/2 = 12/2 = 6

To find the y coordinate of the midpoint take the average of the y coordinates of the endpoints

(3+9)/2 = 12/2 = 6

(6,6)

5 0
3 years ago
8s+4(4s-3)=4(6s+4)-4​
elena55 [62]

Answer:

There is no solution.

5 0
3 years ago
Other questions:
  • There are 32 forwards and 80 guards in Leo's basketball league.
    10·2 answers
  • Alisa says it is easier to compare numbers is set A (45,760/ 1025680) than set B (492,111/ 409,867.
    6·1 answer
  • Choose the correct simplification of the expression (−2x 8y)(9x − 3y).−18x2 78xy − 24y218x2 78xy − 24y2−18x2 − 78xy 24y2−18x2 72
    15·1 answer
  • Find the value of the expression 8x↑3 if: x=3
    7·1 answer
  • Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.
    5·1 answer
  • Please solve thanks tyyy
    10·1 answer
  • Enter a number that correctly completes the following statement
    5·2 answers
  • Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.
    10·1 answer
  • Find the unit rate.
    6·2 answers
  • Maria buys some soft drinks for her friends. she buys a total of 13 drinks for a total of $32. if medium drinks, m, cost $3 and
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!