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3 years ago

Factorization of nine using exponents from least to greatest

1 answer:

4 0

The only way to write 42 as the product of primes (except to change the order of the factors) is 2 × 3 × 7. We call 2 × 3 × 7 the prime factorization of 42. It turns out that every counting number (natural number) has a unique prime factorization, different from any other counting number. This fact is called the Fundamental Theorem of Arithmetic. Fundamental theorem of arithmetic

In order to maintain this property of unique prime factorizations, it is necessary that the number one, 1, be categorized as neither prime nor composite. Otherwise a prime factorization could have any number of factors of 1, and the factorization would no longer be unique.

Prime factorizations can help us with divisibility, simplifying fractions, and finding common denominators for fractions.

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Hey how to do this and what the answer

frez [133]

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$ .

where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒ $\frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5}$

$\implies \frac{y - 21}{-50} = \frac{x - 5}{-10}$

$\implies y - 21 = 5x - 25$

⇒ 5x + y - 4 = 0

8 0

3 years ago

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

Dmitrij [34]

Answer:

Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:

Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A

Then if we know that the price tag of the bike is $125, then we have:

$125 = (1.3)*A

$125/1.3 = A = $96.15

The wholesale cost of the bike is $96.15

6 0

3 years ago

Read 2 more answers

YOU WILL GET MARKED BRAINLIEST:)

Aleks04 [339]

Answer:

Z = 2

Step-by-step explanation:

This tape diagram is split into two equal parts.

Since 2 and 2 are equal, and since 2 and 2 have a sum of 4, then z is equal to 2.

7 0

3 years ago

Read 2 more answers

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$