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sergiy2304 [10]
4 years ago
5

Segments Ra and Ny are best described as which of the following

Mathematics
2 answers:
qaws [65]4 years ago
8 0

Answer:

B

Step-by-step explanation:

B). RA and NY are perpendicular segments

Pie4 years ago
3 0

<u>Answer:</u>

The correct answer option is B. Perpendicular segments.

<u>Step-by-step explanation:</u>

We are given two segments RA and NY and we are to determine whether which of the given answer options describe them the best.

Since the angles ∠RDA and ∠NDY are perpendicular angles and they lines RA and NY intersect each other at point D so the formed segments are also perpendicular.

Therefore, the option which best describes this is B. Perpendicular segments.

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What is the sum of the series infinity e n-1 -7(3/8)^n?
soldier1979 [14.2K]

Let

S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)

Then

\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)

S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)

\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)

S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)

As N\to\infty, the exponential term will converge to zero, so the infinite sum converges to

\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}

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2 years ago
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