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Stels [109]
3 years ago
13

Is the binomial theorem and pascal's formula the same?

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0
They are closely related. The Binomial Theorem expands (a+b)ⁿ as the sum of a series of terms involving progressive powers of a and b with a coefficient based entirely on the exponent n. Coefficients of consecutive terms in the series are the same as the nth rows of Pascal’s Triangle. This means that the formula used for calculating the coefficients in the Binomial expansion is the same one used to calculate the numbers in the corresponding row of Pascal’s Triangle. The nomenclature ⁿcᵣ for the number of ways of combining r objects out of n objects invokes this formula.
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9√5+√5<br> help please <br><br> and <br> 6√2+5√2-15√2
tresset_1 [31]
9√5+√5
=22.360679775
&
6√2+5√2-15√2
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4 0
3 years ago
Simplify the expression ASAP 8p3
Reika [66]

Answer:

336

Step-by-step explanation:

8P3

=8!(8-3)!

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5 0
3 years ago
Halp. Halp. Halp. Halp. Halp
RUDIKE [14]
The awnser is 145
(50 divided 2) = 25
5 to the power of 3= 125
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=145
3 0
3 years ago
Read 2 more answers
Picture attached. help please
Iteru [2.4K]

Answer:

A, D, F.

Step-by-step explanation:

4 0
3 years ago
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I need help with #8. I need to use the quadratic formula. I have a calculator that is programmed for the quadratic formula so al
GuDViN [60]

Answer:

  x = 14

Step-by-step explanation:

Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.

The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:

  138 = (376 -23x) +(x^2 -8x)

Subtracting 138 and collecting terms we have ...

  x^2 -31x +238 = 0

For your calculator, a=1, b=-31, c=238.

__

<em>Additional comment</em>

You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.

For x=14, the marked angles are A = 84°, C = 54°.

8 0
3 years ago
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