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luda_lava [24]
3 years ago
12

Please someone explain me why the answer is not B (4k2m3)?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0

Hi there!

4k^2m^3 is definitely a factor of the the given terms. However, 4 is not the <em>greatest</em> common factor between 8 and 48; it is 8. Therefore, the GCF of the given terms would instead be 8k^2m^3.

I hope this helps!

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Kelsey solved the following equation:
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9514 1404 393

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  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

_____

<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.

6 0
3 years ago
4. The equation of the line on the graph below is a direct variation equation. What is the constant of variation?
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\frac{1}{4} → a

the equation is y = mx ( where m is the slope / constant of variation )

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m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \frac{1-0}{4-0} = \frac{1}{4}


3 0
3 years ago
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