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Bingel [31]
3 years ago
12

What is the sum of the first 100 even natural numbers? S100 =

Mathematics
2 answers:
kolbaska11 [484]3 years ago
7 0

Answer:

10100

Step-by-step explanation:

E2020

Leviafan [203]3 years ago
5 0
Sn = n(n+1) = 100(101) = 10100
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Answer:

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Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

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3 years ago
What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
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Answer:

<u>Option </u><u>D</u> (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

slope(m1) =  \frac{y2 - y1}{x2 - x1}

or \: m1 =  \frac{ - 4 - 6}{0 - 12}

or \: m1 =   \frac{5}{6}

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

y + 2 =  \frac{5}{6} x - 10

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

<u>Hope</u><u> </u><u>it </u><u>helps</u><u>!</u>

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Step-by-step explanation:

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