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2 years ago

Determine which polynomial is a perfect square trinomial.

Mathematics

2 answers:

max2010maxim [7]2 years ago

4 0

Answer:

D) 16x^2 − 56x + 49

Step-by-step explanation:

It is 16x^2 - 56x + 49

(4x)^2 - 2*4x*7 + 7^2

This is in the form of (a - b)^2 = a^2 - 2ab + b^2

Here a = 4x and b = 7

(4x)^2 - 2*4x*7 + 7^2 = (4x - 7)^2

Therefore, answer is D) 16x^2 − 56x + 49

Hope this will helpful.

Thank you.

Sholpan [36]2 years ago

3 0

$\it 16x^2-56x+49 = 4^2x^2-56x+7^2=(4x-7)^2$

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What is the prime factorization of 2x3x5x7

Mashutka [201]

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

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3 years ago

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

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7 0

2 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

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