I NEED HELP FAST PLEASE HELP !

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Problem 1) We need exactly one unit tile (the smallest square tile) to fill up the empty space to make a completed rectangle. In this case it would be (x+2)^2 = x^2+4x+4

Problem 2) The answer here is choice B since (x+3)^2 expands out to x^2+6x+9. Tacking on a "-6" will take the +9 down to +3. In other words, x^2+6x+9-6 = x^2+6x+3

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When adding or subtracting with scientific notation,why is it important to have the same power of 10?

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<h2>Explanation:</h2><h2></h2>

Because we perform something like common factor, so this guarantee that corresponding digits have regarding coefficients have the same place value. Remember that a number written in scientific notation is given by the product of a number between 1 and 10 and another number that is power of 10. For example, let's write two examples about this:

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$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =5\times 10^3$

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$a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =6\times 10^3$

Subtraction:

$a=7\times 10^5 \\ \\ b=2\times 10^5 \\ \\ \\ Then: \\ \\ a-b=7\times 10^5-2\times 10^5 \\ \\ =(7-2)\times 10^5 \\ \\ =5\times 10^5$

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I’m not sure of the context of your class, but the second choice will give you -21 and the third one will give you -15. The first and last choice are positive, so just between those two

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