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Serggg [28]
3 years ago
10

Find the 4th term of the expansion of (a - sqrt(2)) ^ 8

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

Applying the binomial theorem

{\displaystyle (x+a)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n-k}a^{k}}

Here we have x = -\sqrt{2}, n = 8,

=> 4th term (k = 3) would be:

{8 \choose 3}x^{8-3}a^{3}} = {8 \choose 3}(-\sqrt{2})^{5}a^{3}} = -224a^{3}\sqrt{2}

Hope this helps!

:)

vredina [299]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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ASAP PLS!!<br><br> -GIVING OUT BRAINLIEST
Korvikt [17]

Answer:

The answer is (C)

Step-by-step explanation:

8 0
2 years ago
What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

  • Both pairs of opposite sides are parallel
  • Both pairs of opposite sides are congruent
  • Both pairs of opposite angles are congruent
  • Diagonals bisect each other
  • One angle is supplementary to both consecutive angles (same-side interior)
  • One pair of opposite sides are congruent AND parallel.

Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

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7 0
2 years ago
NEED HELP ASAP !!!<br><br> Simplify: √16r<br> O 47²<br> O 473<br> 87²<br> O 8-3
Vlad1618 [11]

Answer:

4 r^3

Step-by-step explanation:

sqrt ( 16 r^6 )    = sqrt ( 4^2 * (r^3)^2  )    =   4 r^3

6 0
2 years ago
How to solve −3/4n≤3.
mars1129 [50]

Answer:

n ≥ -4

Step-by-step explanation:

-3/4n ≤ 3

-4/3(-3/4n) ≤ 3(-4/3)

n ≥ -12/3

n ≥ -4

CHECK:

correct

-3/4(-4) ≤ 3

12/4 ≤ 3

3 = 3

correct

-3/4(5) ≤ 3

-15/4 ≤ 3

-3.75 < 3

incorrect

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6 0
3 years ago
What is the percent increase 41,700 and 63,00
valentinak56 [21]

Answer:

51.0791%

Step-by-step explanation:

Calculate percentage change

from V1 = 41700 to V2 = 63000

(V2−V1)|V1|×100

=(63000−41700)|41700|×100

=2130041700×100

=0.510791×100

=51.0791%change

=51.0791%increase

7 0
3 years ago
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