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miss Akunina [59]
3 years ago
11

The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoi

nts. How long is the segment?
Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

Answer:

Sample Response: The segment is vertical because the x-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 6 units long.

Step-by-step explanation:

Scrat [10]3 years ago
5 0

Answer:

The segment is 6 units long.

Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P(x_{1},y_{1}) and Q(x_{2},y_{2}), then the length of the segment PQ will be given by the formula  

\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}

Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be  

\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6 units. (Answer)

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Is 6/4 rational or irrational?
Serjik [45]
Hello, and thank you for posting your question here on brainly.

This fraction needs to be simplified to be able to figure it out.

The greatest common divisible is 2.

Divide the numerator and denominator by 2.

6/4 = 3/2

Now, do the division.

3/2 = 1.5

1.5 is rational.

Hope this helps! ☺♥
7 0
3 years ago
Read 2 more answers
Rani has 160 DVDs 35 % of her DVDs are thrillers . 2/5 of her DVDs are comedies . The rest of her DVDs are science fiction . How
Tamiku [17]

Answer: 40

Step-by-step explanation:

Number of DVDs = 160

Thrillers = 35%

Comedies = 2/5 = 40%

Science fiction = 100 - (35 + 40) = 100 - 75 = 25%

The number of science fiction DVDs that Rani has will be:

= 25% × 160

= 25/100 × 160

= 40

5 0
3 years ago
The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

P(y)=110000(1.04)^y

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
Consider the following confidence interval interpretation: We are 98% confident that the true mean laptop screen size is between
GalinKa [24]

Answer:

Incorrect

Step-by-step explanation:

This interpretation is incorrect because it states that 98% of the data is with in the confidence interval.

or 98% of the laptop have screen size between 19.2 and 21.4 inches

However, the interpretation would have been correct if it would have stated as - Value of the population mean i.e mean size of the laptop screen lies within the confidence interval.

7 0
3 years ago
The distance from Earth to the sun is about 9.3 × 10 7th power miles.
AURORKA [14]

<u>Answer:</u>

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

<u>Solution:</u>

Given, the distance from Earth to the sun is about 9.3 \times 10^{7} \mathrm{miles}

The distance from Earth to the Moon is about 2.4 \times 10^{5} \mathrm{miles}

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0
3 years ago
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