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irga5000 [103]
2 years ago
13

Need help with a math question

Mathematics
1 answer:
Lilit [14]2 years ago
6 0

Answer:

d =\sqrt{(b-0)^2 +(c-a)^2}

Step-by-step explanation:

We know that the distance between two points is calculated using the following formula

d =\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

In this case we look for the RS distance

Then

The starting point is: (0, a)

The final point is (b, c)

So

x_2 = b\\x_1 = 0\\y_2 = c\\y_1=a

The distance is:

d =\sqrt{(b-0)^2 +(c-a)^2}

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

6 0
2 years ago
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,
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What is the fourth term of the sequence? <br> a1 = m<br> an = 2an-1<br><br> 2m<br> 4m<br> 6m<br> 8m
harkovskaia [24]

Answer:

8m.

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

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So you would do:

36.24 - 30.80 = 5.44
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3 years ago
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