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VLD [36.1K]
3 years ago
10

What is the difference between finding the greatest common factor and the least common multiple of the numbers 4 and 12?

Mathematics
1 answer:
dangina [55]3 years ago
8 0

Answer: The difference is factor is a circumstance, fact, or influence that contributes to a result or outcome. and multiple is A multiple of a number is that number multiplied by an integer.


Step-by-step explanation:


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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

{r}^{4}  = 4({  {r}^{2} \cos^{2}\theta } -   {r}^{2}  \sin^{2}\theta)

Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
What is 2 + 1 = ? is it 3 or is it 3 because i dont know​
Vesnalui [34]

Answer: 4

Step-by-step explanation:

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46 × 10 = 460

460 is 10/10 of all the students

There are 460 students in eighth grade.
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