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Lady bird [3.3K]
3 years ago
6

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

tement best describes Kylie’s explanation?
Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
4 0

The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product 
gregori [183]3 years ago
4 0
The correct answer is: (C) <span>Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Explanation:
Kylie did not determine the product correctly, as the perfect-square trinomials are of the form:
</span>a^2x^2 \pm 2axb \pm b^2
<span>
and are expressed in the squared-binomial form as:
</span>(ax \pm b)^2
<span>
The correct product would be:
</span>(-4x + 9)^2 = (-4x)^2 + 2(-4)(9)x + (9)^2 = 16x^2 - 72x + 81

Hence the correct answer is that Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly (Option C).

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PLS HELP
Charra [1.4K]

Answer:  -418, 728, 446, -429, 1159, -696

Step-by-step explanation:

1. n = -199 - 219 = \boxed{-418}.

2. m = 438 - (-290) = 438 + 290 = \boxed{728}.

3. 128 - (-318) = 128 + 318 = \boxed{446}.

4. The sum of 429 and 429 is 429+429 = 858. We need to subtract this from 429, so 429 - 858 = \boxed{-429}.

5. The sum of 510 and 319 is 510+319 = 829. Subtracting -330, we get 829 - (-330) = 829 + 330 = \boxed{1159}.

6. Call the unknown number "\star". Then \star + 298 = -398, so \star = -398 - 298 = \boxed{-696}. (Think about it.)

4 0
2 years ago
(4x^2-2x-4)(2x+4) what is<br> the product of the polynomials below?
tatiyna

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property

Step-by-step explanation:

<u>Step 1: Define expression</u>

(4x² - 2x - 4)(2x + 4)

<u>Step 2: Simplify</u>

  1. Expand:                                       8x³ - 4x² - 8x + 16x² - 8x - 16
  2. Combine like terms (x²):             8x³ + 12x² - 8x - 8x - 16
  3. Combine like terms (x):              8x³ + 12x² - 16x - 16
7 0
3 years ago
Multiply or divide as indicated 10x^5/2x^2
shepuryov [24]
To perform the following operation, make sure to do the division parts separately and place them back together in the final answer.

10/2 and x^5/x^2

5 and using the exponential laws of division X ^m/X^n = X ^ m-n

The second part evaluates to X^3.

Putting the terms together we get the final answer, which is 5x^3.
3 0
3 years ago
Question
dezoksy [38]

Answer:

the height of the triangle is 47 inches

4 0
3 years ago
A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep
daser333 [38]

Answer:

Probability = \frac{7}{253}

Step-by-step explanation:

Given

Orange = 7

Green = 6

White = 1

Black = 7

Yellow = 2

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

P(Yellow) = \frac{n(Yellow)}{Total}

P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}

P(Yellow) = \frac{2}{23}

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

P(Orange) = \frac{n(Orange)}{Total - 1}

P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}

P(Orange) = \frac{7}{22}

The required probability is calculated as thus:

Probability = P(Yellow) * P(Orange)

Probability = \frac{2}{23} * \frac{7}{22}

Probability = \frac{14}{506}

Probability = \frac{7}{253}

4 0
3 years ago
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