If we start with 6 and 8, we can break 6 up into 2*3 and 8 into 2*2*2, thus getting a prime factorization of 2*2*2*2*3, or 2^4 *3.
If we begin with 4 and 12, 4 breaks into 2*2 and 12 into 2*2*3, so the prime factorization of 48 is still 2^4 *3.
The starting factors do not matter, since the answer comes out to be the same. There is exactly one correct answer- it doesn't matter how it's found.
Hope this helps! :)
There are 50 parking spaces because 10×5=50
The answer is: " y − 1 = - 3(x + 2) " .
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Explanations:
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<u>Note</u>: The "point-slope form" of the equation of a line is:
→ " y − y₁ = m(x −x₁) " .
We are given the slope, m" , is: " - 3 " ;
We are given a point on the line [on the graph that is represented by this equation]; with the coordinates: " (-2 , 1) " ;
→ which is in the format: " (x₁ , y₁) " ;
→ As such: " x₁ = -2 " ; " y₁ = 1 " ;
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As aforementioned, the equation of a line in "point-slope form" ; is:
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→ " y − y₁ = m(x − x₁) " ;
in which:
→ "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ; AND:
→ " m " = the slope of the line [represented by the equation] " ;
We proceed by substituting our known values for "m" ; "y₁" ; and "x₁" :
→ " y − 1 = - 3(x − (-2) ) " ;
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→ Rewrite as:
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→ " y − 1 = - 3(x + 2) " ;
→ which is our answer; since it is written in "point-slope form" .
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In every side of the coin, there is a fifty fifty chance
of landing on the other side, so there is a probability of 0.50. In a deck of
cards, there are 52 cards with 26 clubs and another 26 for spades. So in every
random choice, there is a 1/26 probability of the card being chosen.
