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Lady bird [3.3K]
2 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]2 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]2 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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Find the surface area of the prism formed by the net
Lunna [17]
ANSWER

T.S.A=1960m^2

EXPLANATION

The diagram represents the net of a rectangular prism.

The dimensions are,

l=42m

w = 14m

and

h = 7m

The total surface area of a rectangular prism is given by:

T.S.A=2(lw + lh + wh)

We substitute the values to obtain,

T.S.A=2(42 \times 14 + 42 \times 7 + 14 \times 7)

T.S.A=2(980)m^2


T.S.A=1960m^2
3 0
3 years ago
Which phrase best defines a trapezoid?
balu736 [363]
B they only have one pair of parallel sides. The top and bottom
3 0
3 years ago
Read 2 more answers
For better clarification I guess
marissa [1.9K]

Answer:

1.) =\frac{\sqrt{3}}{3}

2.) 42\sqrt{30}

Step-by-step explanation:

1.) \mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}

2.) \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}

\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}

6 0
2 years ago
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
Please help I'm desperate :(
zubka84 [21]

Answer:

x=5

Step-by-step explanation:

<u>Similar Triangles</u>

By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

\displaystyle \frac{45}{36}=\frac{5x}{20}

Simplifying both fractions

\displaystyle \frac{5}{4}=\frac{x}{4}

Solving for x

x=5

8 0
2 years ago
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