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vivado [14]
3 years ago
11

Explain how the GCF helps with the distributive property. Why is it so important to use the GCF when factoring a sum of two numb

ers?
Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

<span>When we have two or more given integer, we can consider  the largest factor that both numbers have in common. This is called the GCF or the </span><span>Greatest Common Factor.  GCF helps </span>with a common factor as a multiple of a sum of two whole numbers.

For example, express 36 + 8 as 4 (9 + 2).

<span>Remember that factors are the numbers we multiply together to get another number.</span>

The distributive property is a useful way to look at problems in a new way. The distributive property helps us to rewrite expressions and still get the same answer.

<span>GCF is important when factoring a sum of two numbers because it’s easily to know value by the both numbers.</span>

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
DanielleElmas [232]

             \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

          <em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em>            through (0, -1)</em>

<em />

<em>      </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

        First, let's take a look at our provided information:-

  • A line \text{y=-12x+2}
  • A point (0, -1)
  • The line \text{y=-12x+2} is perpendicular to the line that goes through (0, -1)

     If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

   So we take the slope of the given line, which is -12, change its sign from minus to plus:-

\Large\textit{12}

And now, We flip the number over:-

\Large\text{$\displaystyle\frac{1}{12}$}

Now that we've found the slope of the line, let's find its equation.

     The first step is to write it in point-slope form as follows:-

\longmapsto\sf{y-y_1=m(x-x_1)}

Replace letters with numbers,

\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}

On simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}

On further simplification,

\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}

Subtracting 1 on both sides,

\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}

\Uparrow\texttt{Our equation in slope-intercept form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

5 0
2 years ago
1
Anastaziya [24]

Answer:

2/2

Step-by-step explanation:

There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.

7 0
3 years ago
(x+5)2−(x−2)=A<br> Need help!
valkas [14]
IF YOUR SOLVING FOR A THE ANSWER WOULD BE A=X+12

IF YOUR SOLVING FOR X IT WOULD BE X=-12+A
5 0
3 years ago
Jackson says has an odd number of model cars.he has 6 cars on one shel and 8 cars on another shelf.is jackson correct?explain
grigory [225]
No. It's rather simple, down to addition. Ask yourself, what does 6 + 8 equal? 6 + 8 = 14. Now is this an odd number? No, 14 is an even number.

I hope this helps! If not I'm sorry. 
4 0
3 years ago
A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?
frozen [14]
Gain - loss = profit
55- 45 = $10 net profit
5 0
3 years ago
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