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

Answers

Answer 1

Answer:
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

Answer 2

Answer: The correct answer is: (C) 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:
$a^2x^2 \pm 2axb \pm b^2$

and are expressed in the squared-binomial form as:
$(ax \pm b)^2$

The correct product would be:
$(-4x + 9)^2 = (-4x)^2 + 2(-4)(9)x + (9)^2 = 16x^2 - 72x + 81$

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).

25

Step-by-step explanation:

Lettheunknown number bex

$40 \% * x = 10 \n (40x)/(100) = (10)/(1)$

CrossMultiply

$40x = 100 * 10 \n 40x = 1000$

Divide both sides of the equation by40

$(40x)/(40) = (1000)/(40)$

Simplify

$x = 25$

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

Answers

x2 – 6x + 9 is the answer

Answer:

A is the answer. X^2 -6x+9

Step-by-step explanation:

If 2x = 5, 3y = 4, and 4z = 3, what is the value of 24xyz ?

Answers

We have : 2x = 5 ⇔ x = 5/2
3y = 4 ⇔ y = 4/3
4z = 3 ⇔ z = 3/4
⇒ 24xyz = 24 × 5/2 × 4/3 ×3/4 = 60

33 is 50 percent of what number?

Answers

66 is the answer
Just double 33 because 50+50 equals 100
Which means 33+33 equals 66. Which in this case 66 is the 100%

1) What is the mathematical relationship between a^n and a^-n ? Explain

2) A positive exponent shows repeated multiplication . What repeated operation does a negative exponent show ?

I really need your help ! Thanks

Answers

A negative exponent (-n) just means that your base (a) is on the wrong side of the fraction bar meaning you would need to flip it to the other side. For example; if you have to write 2x^-3 using only positive exponents. you have 2x^-3/1 so you would have to move the negative exponent to the bottom which gives you 2/1x^3.

make sense?

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