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True [87]
4 years ago
12

which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5-2m6+5m2n4-m3n3+n6-4

m6+9m2n4-mn5-4m3n3
Mathematics
1 answer:
Lelechka [254]4 years ago
6 0

Answer:

The answer would be 7mn^5 - 2m^6 + 14m^2n^4 - 5m^3n^3 + n^6

Step-by-step explanation:

In order to find that answer, start by grouping all of the terms by their variable values. Ones that are the same should be combined.

8mn^5 - mn^5 = 7mn^5

2m^6 - 4m^6 = -2m^6

5m^2n^4 + 9m^2n^4 = 14m^2n^4

-m^3n^3 - 4m^3n^3 = -5m^3n^3

n^6 = n^6

Now we simply combine them all to get

7mn^5 - 2m^6 + 14m^2n^4 - 5m^3n^3 + n^6

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Answer: 6\ mph

Step-by-step explanation:

Let d be the distance from Nadia's home to the grocery store.

Given : Nadia traveled uphill to the grocery store for 30 minutes at just 4 mph.

∵ 1 hour = 60 minutes.

Then, 30\text{ minutes}=\dfrac{30}{60}=0.5\text{ hour}

Since \text{Distance = Speed * Time}

Then,  d=4\times0.5=2\text{ miles}

Also, She then traveled back home along the same path downhill at a speed of 12 mph.

Then, Time taken to travel back home = \dfrac{\text{Distance}}{\text{Speed}}=\dfrac{2}{12}=\dfrac{1}{6}\text{ hours}

Average Speed =\dfrac{\text{Total distance}}{\text{Total time taken}}

=\dfrac{2+2}{0.5+\dfrac{1}{6}}\\\\=\dfrac{4}{\dfrac{3+1}{6}}=\dfrac{4\times6}{4}=6\ mph

Hence, her average speed for the entire trip from home to the grocery store and back = 6\ mph

8 0
4 years ago
The distance from a star to a planet is approximately 90,000,000 miles. If light travels at a rate of 186,000 miles per​ second,
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So to get this the easiest way would be to:
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En un triangulo rectangulo ABC (B=90) REDUCE:
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Answer:

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The point (-4,0) is rotated 180 degrees counterclockwise using center (0,0). what are the coordinates of the image?
jenyasd209 [6]

Answer:

The new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).

i.e. [(-4,0)→(4,0)]

Step-by-step explanation:

The rule for rotation a point 180° counterclockwise about the origin states that when a point (x, y) is rotated 180° counterclockwise about the origin, the new position of the coordinates of point P(x, y) becomes (-x, -y).

Hence,

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So, when the given point  (-4,0) is rotated 180 degrees counterclockwise using center (0,0), the new coordinates of the image will be:

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Therefore, the new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).

i.e. [(-4,0)→(4,0)]

Keywords: rotation, origin, image

Learn more rotation from brainly.com/question/12200192

#learnwithBrainly

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<span>Assuming that this is referring to the same list of options that was posted before with this question, the correct response was the first one, although I forget what it was. </span>
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