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grandymaker [24]
3 years ago
6

George used a Venn diagram to sort shapes. Which shape belongs in both categories?

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

Square

Step-by-step explanation:

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The slope intercept equation is y=mx + b

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What is the slope of the line that is parallel to the line shown?
ELEN [110]
Hey there! :D

All parallel lines have the same slope. They would need to, otherwise, they would intersect or come together at an angle eventually. 

So, let's find the slope. 

I'm going to use rise over run. (Remember, when moving to the left, you make the number negative. 

rise=1 run= -3

-1/3 <== the slope 

"C" is the correct answer. 

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~kaikers 
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3 years ago
Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference
kicyunya [14]

Answer:

\\ ln(x^2) - ln(x^2 + 1).

For values of x>0, it can be rewritten as \\ 2ln(x) - ln(x^2 + 1).

Step-by-step explanation:

For the expression:

\\ ln(\frac{x^2}{x^2 + 1})

We can apply this logarithmical property: \\ ln(\frac{x}{y}) = ln(x) - ln(y).

Then,

\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1).

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:

\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1) = 2 ln(x) - ln(x^2 + 1), since \\ ln(x^{n}) = n*ln(x).

We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:

Domain: \\ {x | x \in R, x > 0}

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There are extra periods so I’m not exactly sure but I think it’s 00.96
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