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2 years ago

Are these lines parallel or perpendicular? 2y=-3x=5 and y=3/2-6

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

5 0

Answer:

perpendicular because they have a positive and negative slope meaning on a graph they would be crossing each other.

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3 years ago

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8. The month of July has 31 days. What is the greatest

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Answer:

We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,

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2 years ago

What is the sum of the first 37 terms of the arithmetic sequence?

lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_{1} + a_{n})}{2}$

In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

$a_{37} = -27 + 36*6$

$a_{37} = 189$

Then

$S_{37} = \frac{37(-27 + 189)}{2} = 2997$

The sum of the first 37 terms of the arithmetic sequence is 2997.

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3 years ago

A=3 b=2 c=7 a+b+c=?? Help me please thank you

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Answer: 13

Step-by-step explanation:

Given:

a+b+c, where a=3, b=2, c=7

Solve:

Given

a+b+c

Substitute values into the expression

=(3)+(2)+(7)

Combine like terms

=6+7

=13

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