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2 years ago

A segment has endpoints V and X. What are two names for the segment?

Mathematics

1 answer:

wolverine [178]2 years ago

5 0

Given:

A segment has endpoints V and X.

To find:

The two names for the segment.

Solution:

A line segment is a small part of a line and it has two end points. The name of a segment is described by its end points.

For example: If A and B are two and points of a line segment, then the names for the segment are $\overline {AB}$ and $\overline {BA}$ .

It is given that the segment has endpoints V and X.

Therefore, the two names for the segment are $\overline {VX}$ and $\overline {XV}$ .

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.

Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

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1 year ago

What are both of the blanks?? Y= [ ]x+ [ ]

vitfil [10]

Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5

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2 years ago

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TiliK225 [7]

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2 years ago

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There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li

scoray [572]

Answer:

$\text{The probability that Gary dies first = }\frac{1}{3}$

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

$\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}$

Hence the probability that Gary dies first is given by :

$=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}$

3 0

3 years ago

According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get

SSSSS [86.1K]

9514 1404 393

Answer:

8 years: Rs. 64
9 years: Rs. 72
10 years: Rs. 80

Step-by-step explanation:

The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...

216/27 = 8 . . . Rs

Then age 8 gets 8(Rs. 8) = Rs. 64

age 9 gets 9(Rs. 8) = Rs. 72

age 10 gets 10(Rs. 8) = Rs. 80

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2 years ago