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Sauron [17]
2 years ago
8

May I have some assistance please

Mathematics
1 answer:
Nady [450]2 years ago
7 0

The method that can be used to write the equation of a line in slope-intercept form given two points is option A.

<h3>Calculations and Parameters</h3>

When a person wants to write the equation of a line in slope-intercept form given two points, he would have to:

  1. Know the two points
  2. Use them to find the slope
  3. You would get the value of m
  4. Use it to solve the equation y= mx + b
  5. Find the y-intercept

Therefore, the answer is option A.

Read more about slope-intercept here:

brainly.com/question/1884491

#SPJ1

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Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

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Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

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If you notice and keep subtracting the next term with previous term:

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Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

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\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

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