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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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Your answer is D . Hope I helped :) !
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3 years ago
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The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is
shutvik [7]
1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:

 A=LxW

 "A" is the area of the rectangle (A=3456 inches²).
 "L" is the the length of the rectangle.
 "W" is the width of the rectangle.

 2. The <span>width of the screen is 24 inches longer than the length. This can be expressed as below:

 W=24+L

 3. Then, you must substitute </span>W=24+L into the formula A=LxW:
<span>
 </span>A=LxW
<span> 3456=L(24+L)
 3456=24L+L</span>²
<span>
 4. The quadratic equation is:

 L</span>²+24L-3456=0

 5. When you solve the quadratic equation, you obtain:

 L=48 inches

 6. Finally, you must substitute the value of the length, into W=24+L:

 W=24+L
 W=24+48
 W=72 inches

 7. Therefore, the dimensions of the screen are:

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4 0
3 years ago
Simplify the expression
chubhunter [2.5K]

Answer:

  sin(α) -cos(α)

Step-by-step explanation:

\dfrac{2\sin^2{\alpha}-1}{\sin{\alpha}+\cos{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{(\sin{\alpha}+\cos{\alpha})(\sin{\alpha}-\cos{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-\cos^2{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-(1-\sin^2{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{2\sin^2{\alpha}-1}\\\\=\sin{\alpha}-\cos{\alpha}

4 0
3 years ago
The sum of 3 consecutive odd numbers is 63. what is the smallest of these numbers
PIT_PIT [208]

Let, the numbers = x, (x+2), (x+4)

x+x+2+x+4 = 63

3x+6=63

3x=57

x = 19

so, smallest number would be 19

8 0
3 years ago
If a = -3, determine the value of 4a + 5+ 8a.<br> HELP PLEASE
Y_Kistochka [10]

Step-by-step explanation:

I4(-3)+5| +8(-3)

|-12+5| -24

7-24 = -17

3 0
2 years ago
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