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Alenkasestr [34]
3 years ago
12

Expand (x-y)^5 using pascal’s triangle

Mathematics
1 answer:
mina [271]3 years ago
7 0

Hello from MrBillDoesMath!

 

Answer:

x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5


Discussion:

Pascal's triangle looks like this (up to 6 rows)

    1  

   1 1  

  1 2 1  

 1 3 3 1  

1 4 6 4 1  

1  5 10 10 5 1


The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.


Thank you,

MrB

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A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee
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Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (A), measured in square feet, is determined by the following equations:

A = w\cdot l (1)

Where:

w - Width, measured in feet.

l - Length, measured in feet.

If we know that w = x, l = 2\cdot x and A = 160\,ft^{2}, then we get the following second order polynomial:

2\cdot x^{2}-160 = 0 (1)

And we solve the expression for x:

2\cdot x^{2} = 160

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x \approx 8.944\,ft

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5 0
3 years ago
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Aleonysh [2.5K]
P - 4 is common to  the 2 parts so we have

(2y^2 - 7)(p - 4)  Answer
5 0
3 years ago
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snow_tiger [21]

Answer:

Below, depends if 27 is term number 1 or term number 0.  Answered for both cases.  

Step-by-step explanation:

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Arithmetic first since its the easiest.

to go from 27 to 21 we subtract 6, if we subtract 6 from 21 again we get to 15, which is what we need, so it is indeed arithmetic.

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Then it usually has n as the x and y f(n) so we'll just put those in

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This si as long as the first term is labeled as term number 1 and not term number 0.  if you have 27 as term 0 instead just make 33 back to 27, so f(n) = -6n + 27

Let me know if this doesn't make sense.

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