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3 years ago

The mean radius of Earth is 6,371.0 kilometres and the mean radius of Earth’s Moon is 1,737.5 kilometres.

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

Answer: 29,113.2 km

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference = 2 x π x radius

Replacing with the values given:

Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km

Earth's moon mean circumference = 2 π 1,737,5= 10,917 km

Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:

40,030.2- 10,917 =29,113.2 km

Feel free to ask for more if needed or if you did not understand something.

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Answer:

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Step-by-step explanation:

Let us try to factorize $x^4+3x^3-2x^2-3x+1$

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Let us try to make a whole square of the given terms:

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Formula used above:

$a^{2} -2 \times a \times b +b^{2} = (a-b)^2$

In the above equation, we had $a = x, b = 1$ .

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Further solving the above equation, taking $3x$ common out of $3x^3-3x$

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Taking $(x^{2} -1)$ common out of the above term:

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So, the two factors are $(x^2-1)\ and\ (x^2+3x-1)$ .

$\therefore$ The statement that $x^2+3x-1$ is a factor of $x^4+3x^3-2x^2-3x+1$ is <em>True.</em>

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