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sleet_krkn [62]
3 years ago
14

1. Following are the terms of the toothpick sequence: 8, 14, 20, 26, 32.

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

6

Step-by-step explanation:

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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
Molodets [167]
<h2>Perfect Squares</h2>

Perfect square formula/rules:

  • a^2+2ab+b^2=(a+b)^2
  • a^2-2ab+b^2=(a-b)^2

Trinomials are often organized like ax^2+bx+c.

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

  • Perfect square trinomial: ax^2+bx+(\dfrac{b}{2})^2
  • or ax^2-bx+(\dfrac{b}{2})^2

<h2>Solving the Question</h2>

We're given:

  • c^2-4c

In a trinomial, we're given the ax^2 and bx values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

  • 4 ÷ 2 = 2
  • 2² = 4

Therefore, the term that we can add is + 4.

c^2-4c+4

To write this as the square of a bracketed expression, we can follow the rule a^2-2ab+b^2=(a-b)^2:

(c-2)^2

<h2>Answer</h2>

c^2-4c+4

(c-2)^2

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1 year ago
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Which number line model represents the expression-1 1/2 + 1 1/2
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Answer:

I can't see the other answers, but find the one that goes to 3. It will look like C, but only arrows going up.

Step-by-step explanation:

1 + 1 = 2

1/2 + 1/2 = 1

2 + 1 = 3

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2 years ago
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