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3 years ago

What is the prime factorization of 45

Mathematics

2 answers:

MrMuchimi3 years ago

7 0

Answer:

Option B, 3^2 * 5

Step-by-step explanation:

<u>Step 1: Find the prime factorization of 45</u>

45 = 9 * 5

9 can be simplified as 3^2

5 cannot be simplified because it is a prime number

9 * 5

3^2 * 5

Answer: Option B, 3^2 * 5

Irina18 [472]3 years ago

5 0

Answer:

3^2X5

Step-by-step explanation:

Students learn that the prime factorization of a number is the given number written as the product of its prime factors. For example, to find the prime factorization of 45, use a factor tree to find that 45 is 5 x 9, and 9 is 3 x 3. So the prime factorization of 45 is 5 x 3 x 3, or 5 x 3^2.

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If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End

Lelechka [254]

The value of y will be 18 or 144.

Given information:

The given expression is $\sqrt[3]{\frac{144}{y} }$ .

It is required to find the values of y which are whole numbers.

Now, factorize 144 as,

$144=2\times2\times2\times2\times3\times3\\144=2^3\times2\times3\times3$

So, for the value of given expression to be a whole number, the value of y should be,

$2\times3\times3=18$ or 144.

For the above values of y, the given expression will be,

$\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1$

Therefore, the value of y will be 18 or 144.

For more details, refer to the link:

brainly.com/question/17429689

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2 years ago

Help with any ! If you know all I’ll mark as brainlist

aleksklad [387]

15. The answer is D

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2 years ago

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is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.

Tanya [424]

Answer:

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Step-by-step explanation:

For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.

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2 years ago

Which is a solution to the equation 6x + y = –4?

Stolb23 [73]

(x,y)
sub those for x and y and see if you get a true statement

(2,-8)
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12-8=-4
4=-4
fasle

(2,8)
6(2)+8=4
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false

(1,2)
6(1)+2=4
4+2=4
6=4
false

(1,-10)
6(1)+-10=4
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true

ANSWER IS D

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3 years ago

Which of the points are solutions to the inequality?

Andrew [12]

Answer:

Step-by-step explanation:

The graph of the inequality is attached.

Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression

$y$