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ANEK [815]
3 years ago
15

Find the distance between the points given. (0,5) and (-5,0)

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

5\sqrt{2}

Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = \sqrt{(-5-0)^2+(0-5)^2}

  = \sqrt{(-5)^2+(-5)^2}

  = \sqrt{25+25} = \sqrt{50} = 5\sqrt{2} ← exact value

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
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Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

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nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

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Divide both sides by 7.

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Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

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3 years ago
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Answer:

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Step-by-step explanation:

3 1/3 x 3 1/3

= 10/3 x 10/3

= 100/9

= 11 1/9

4 0
2 years ago
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