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Alex73 [517]
3 years ago
5

What rule relates the number of circles in the pattern, c, to the figure number, f ?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

c = f + 2

Step-by-step explanation:

Each time there is a new figure ( f ), two circles ( c ) are added.

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Help me with this one
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Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

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The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

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But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

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Another way to consider this is ...

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for b=1, c=1, this becomes ...

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* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

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Step-by-step explanation:

This is just one of the rules that are true.

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The slope of the line is \frac{2}{1} (or just 2) as it rises by 2 units and runs to the left by 1 unit.

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