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Evgesh-ka [11]
3 years ago
7

Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Mathematics
1 answer:
Nitella [24]3 years ago
4 0
Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)
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Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?
o-na [289]

Answer:

\sqrt{2} a

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression \sqrt{(x1-x2)^2+(y1-y2)^2}

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a

Thus , expression \sqrt{2} a gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

5 0
3 years ago
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Steve has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows.
inessss [21]

Answer:

I think it is "B"

Step-by-step explanation:

4 0
2 years ago
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You have to evaluate<br> 3³+11-10÷2×4=w
denis23 [38]

Answer:

18

<u><em>Brainliest, please!</em></u>

Step-by-step explanation:

3^3 + 11 - 10 / 2 x 4 = w

27 + 11 - 10 / 2 x 4 = w

27 + 11 - 5 x 4 = w

27 + 11 - 20 = w

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w = 18

3 0
3 years ago
The area of a dollhouse is 1248 square inches the width of the room is 8 inches how long is the room
Marat540 [252]
The length of the dollhouse room is 156. Because you take the 1248 and divide by the 8. Which then gives you 156. To verify this answer, you would multiply 156 by 8 and you should get the answer 1248. so the length of the room is 156.
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3 years ago
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If you multiply (2x+1)(x-5) what’s the answer
photoshop1234 [79]

Answer:

2x^2 - 9x - 5

Step-by-step explanation:

(2x+1)(x-5)

Using FOIL

= 2x^2 - 10x + x - 5

= 2x^2 - 9x - 5

5 0
3 years ago
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