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Softa [21]
2 years ago
8

Which trinomials are perfect square trinomials?

Mathematics
2 answers:
taurus [48]2 years ago
3 0
You can know a perfect square trinomial:

i) if the coefficient of a² = 1.

ii) If you divide the middle number coefficient by 2 and you square it you get the last term.

Take for example the first option: 

For all the options, the coefficient of a² = 1

a² + 4a + 16.

Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.


a² + 14a + 49.

Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²


Similarly if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²

So the only two options are: a² + 14a + 49 and a² + 26a + 169.

Other options do not pass this test.
adelina 88 [10]2 years ago
3 0

Answer:

The answer above me is totally right. B) a^2 + 14a + 49

and D) a^2 + 26a + 169 are correct.

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George wrote an integer. The opposite of George’s integer is -53. Which of these statements about George’s integer must be true?
vlabodo [156]

The George's integer must be true for option D)I and IV.

What is integer?

 A full number (not a fraction) that can be positive, negative, or zero is called an integer . -5, 1, 5, 8, 97, and 3, 043 are some examples of integers. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers. Integer, which means full or whole in Latin, is the root of the English term integer. A particular category of numbers called integers includes zero, positive numbers, and negative numbers. All whole numbers, both negative and positive, and 0 are considered integers.

Here the opposite of George integer is -53.

We know that opposite value of x is -x.

Then George integer is 53.

George integer must be true for The given options I. the integer is 53 and IV.The integer has absolute value of 53.

Therefore the correct option is  D) I and IV.

To learn more about integer refer the below link

brainly.com/question/13723636

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9 months ago
Can anyone help out im a little confused.
Shtirlitz [24]

Answer:

4 {q}^{3}  \times 9 {q}^{4}

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2 years ago
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Convert 1.51 to a fraction
SpyIntel [72]
It would be 151/100 it ant be symplified anymore so
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3 years ago
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Determine for what values of x and y are the following equalities always true.
Agata [3.3K]
(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
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therefore
x - 2y = 3
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Subtract 2 equations
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Step-by-step explanation:

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