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lina2011 [118]
1 year ago
4

Question is down below. 1st drop down menu A.triangle B.square C.rectangle 2nd drop down menu A. Equal toB. Greater thanC. Less

than3rd drop down menuA. Hypotenuse B. Legs C.base

Mathematics
1 answer:
Fofino [41]1 year ago
4 0

SOLUTION

Now looking at the cube below,

The sides marked with a blue pen and labelled as "a" are equal in length, but the side marked as "h" is longer because it is acting as the hypotenuse of the right triangle so formed. Hence the sides of the quadrilateral formed from the intersection is a Rectangle, since only two sides are equal.

So,

This intersection described above is a Rectangle. The diagonal across the top and bottom square bases is Greater than the edges of the cube. Because the diagonal across a square acts like the Hypotenuse of an isosceles right triangle.

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Answer:

\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}

Step-by-step explanation:

When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.

So we can do this by term.

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Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes 2x^4.

Same logic applies to the second term: 8x^2, raise the exponent by one, 8x^3.

For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so x^1 in this case - as x^1=x). Again, using the same logic, this turns into x^2.

For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, 3 \cdot x = 3x.

Adding these terms all together gets us 2x^4 + 8x^3 + x^2 + 3x.

Hope this helped!

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Step-by-step explanation:


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