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algol13
2 years ago
7

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

Mathematics
2 answers:
tiny-mole [99]2 years ago
6 0

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Step-by-step explanation:

(7x+4)(7x+4)=(7x+4)^2 ( using (a+b)(a+b)=(a+b)^2 )

=(7x)^2+2(7x)(4)+4^2 ( using (a+b)^2=a^2+2ab+b^2 )

=7^2x^2+56x+16

=49x^2+56x+14

Therefore (7x+4)(7x+4)=49x^2+56x+14

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Basile [38]2 years ago
6 0

Answer:

A, (5x + 3)(5x – 3)

B, (7x + 4)(7x + 4)

E, (x – 9)(x – 9)

F, (–3x – 6)(–3x + 6)

Step-by-step explanation:

You might be interested in
What is the expanded form of 8,069,960,699
Ymorist [56]

Answer:

Expanded Notation Form:

 8,000,000,000  

+ 0  

+ 60,000,000  

+ 9,000,000  

+ 900,000  

+ 60,000  

+ 0  

+ 600  

+ 90  

+ 9  

Expanded Factors Form:

 8 × 1,000,000,000  

+ 0 × 100,000,000  

+ 6 × 10,000,000  

+ 9 × 1,000,000  

+ 9 × 100,000  

+ 6 × 10,000  

+ 0 × 1,000  

+ 6 × 100  

+ 9 × 10  

+ 9 × 1  

Expanded Exponential Form:

8 × 10^9

+ 0 × 10^8

+ 6 × 10^7

+ 9 × 10^6

+ 9 × 10^5

+ 6 × 10^4

+ 0 × 10^3

+ 6 × 10^2

+ 9 × 10^1

+ 9 × 10^0

Word Form:

eight billion sixty-nine million nine hundred sixty thousand six hundred ninety-nine

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Allison is 5 ft tall. One afternoon her shadow measured 2.5 ft. At the same time, the shadow of her favorite tree was 14.5 ft. W
luda_lava [24]
At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree


8 0
2 years ago
Please help asap 35 pts
Vera_Pavlovna [14]

I’m pretty sure the answer is B. Add 15 to 73. Divide 88 by 8 to get 11. A>11

8 0
2 years ago
Read 2 more answers
What value of x will make this expression equal to 28.1?
Rudiy27
The answer is x=0 I believe because it is the only logical area
5 0
2 years ago
What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Serhud [2]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

___

If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
2 years ago
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