The arrangement should be based on the decreasing degree of the terms which may be determined by the variable x as it should come first in alphabetical order. The polynomial is then,
10x³ + 2x²y + 2xy^4 - 3y²
The degree is equal to the sum of the exponents. Thus, the answer is 5 and it is letter D.

8 0

3 years ago

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katrin2010 [14]

$\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}$

$Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}$

7 0

3 years ago

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest

lawyer [7]

Answer:

$3.5$

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, $c^2=a^2+b^2-ab\cos \gamma$ , where $a$ , $b$ , and $c$ are the three sides of the triangle and $\gamma$ is the angle opposite to $c$ .