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Cerrena [4.2K]
4 years ago
8

The figure shown at the right is known as pascal triangle

Mathematics
1 answer:
Nadya [2.5K]4 years ago
4 0
What is the question?


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The Pythagorean theorem is a^2+b^2=c^2<br> Solve for b.
rodikova [14]

Answer:

see explanation

Step-by-step explanation:

given

a² + b² = c² ( isolate b² by subtracting a² from both sides )

b² = c² - a² ( take the square root of both sides )

\sqrt{b^{2} } = ± \sqrt{c^2-a^2}

b = ± \sqrt{c^2-a^2}

3 0
3 years ago
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-2x + 8 = 18 please help. What does x equal
kakasveta [241]

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: -2x = 10
  2. Divide both sides by -2: x = -5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

6 0
3 years ago
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Prove that (n+5)^2 - (n+3)^2 is a multiple of 4 for all positive integer values of n.
Drupady [299]

Answer:

(n+5)² - (n+3)² =

= (n² + 10n + 25) - (n² + 6n + 9)

= n² + 10n + 25 - n² - 6n - 9

= 4n + 16

= 4(n + 4) ⋮ 4

3 0
3 years ago
Savanna needs to buy a bag of dog food to last 14 days. She estimates that a 20 pound bag will be enough, is she correct?​
nordsb [41]

Answer:

I'm not totally sure but I do think the answer is yes

6 0
3 years ago
If a polynomial cannot be written as the product of two other polynomials​ (excluding 1 and minus−​1), then the polynomial is sa
Anni [7]
In mathematics, a polynomial is an algebraic expression containing more than two terms. When the polynomial could not be reduced to a lower degree, it is classified as a prime polynomial. Just like whole numbers, a prime polynomial cannot be broken down into factors except 1 and by the number itself. Take for example, the polynomial x² + 5x + 6. It can be reduces to its factors x=-2 and -3. That would be expressed to x² + 5x + 6 = (x+2)(x+3). But if the polynomial is, say, x² + 5x + 7, there is no roots that are whole numbers. Therefore, it can't be reduced into factored groups because it is a prime polynomial.
5 0
3 years ago
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