Find the coordinates of a point on the directed segment from (3,-2) to (8,0) that divides it into a ratio of 3:1.

Answers

Answer 1

Answer:

[tex](x,y) = (\frac{27}{4}, -\frac{1}{2})[/tex]

Explanation:

Given

[tex](x_1,y_1) = (3,-2)[/tex]

[tex](x_2,y_2) = (8,0)[/tex]

[tex]m : n = 3 :1[/tex]

Required

The coordinates of the point

This is calculated using:

[tex](x,y) = \frac{1}{m+n}(mx_2 + nx_1, my_2 + ny_1)[/tex]

So, we have:

[tex](x,y) = \frac{1}{3+1}(3*8 + 1*3, 3*0 - 1*2)[/tex]

[tex](x,y) = \frac{1}{4}(27, -2)[/tex]

So, we have:

[tex](x,y) = (\frac{27}{4}, -\frac{1}{2})[/tex]


Related Questions

HELPPPP!!!!
how does migration effect the social,environmental,health and economic aspects(IN LONG ANSWER)​

Answers

Answer:

If more people migrate there will be more profit made by the countries where people migrate. This means the government can spend those money to improve social places such as schools, city centers, houses, parks and etc.

Explanation:

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In western and central Africa, the lifetime risk of maternal death is 1 in 17.

true or false

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True maybe I may be wrong ok

Answer:

The answer is TRUE

Explanation:

Ed 2021

During the earthquake several buildings and infrastructure were totally destroyed. Many people were killed and there was a Tsunami watch for the island. The earthquake measured __________on the scale?​

Answers

Answer:

Richter scale

Explanation:

The earthquake is measured on Richter scale which measures the magnitude of an earthquake. The Richter scale measures the largest amplitude on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently used Moment Magnitude scale for measuring earthquake magnitudes. These scales are present in every location where tectonic plates meets or regions surrounded these plates.

Which of the following explains
why mountain tops are a great
place for observatories?
A. They have less gravity.
B. There is less magnetic interference.
C. The weather is calmer.
D. There is less atmosphere above them.

Answers

Answer:

D, there is less atmosphere above them

Explanation:

When telescopes are at a high elivation, they get away from the distortion of starlight due to the atmosphere and because of the elevation, the telescopes are above most of the water vapor in the atmosphere, so infrared astronomy can be done.

which sequence represents the relative ages of these rock formations, from oldest to youngest ?

Answers

Answer:

C. D - C - A - B

Answer: C. D C  A  B

Explanation: Just got it right hope this help enjoy :D

What do the states represented above have in common?


A) They are all federal states

B) They are all formerly communist states

C) They are all mega states

D) They are all unitary states

E) They are all ethnic states

Answers

The states marked on the map all have a federal system of government or are all federal states. Thus, option is A is the correct option.

What is federal system?

Federalism is a form of government in which two levels of government share control of the same territory. A larger territorial area is governed by an overarching national government, whereas smaller subdivisions, states, and cities govern issues of local concern.

The Federal Government is divided into three distinct branches: legislative, executive, and judicial, with respective powers granted to Congress, the President, and the Federal courts by the United States Constitution.

Federations or federal provinces or states include Argentina, Australia, Belgium, Bosnia and Herzegovina, Brazil, Iraq, Canada, Germany, the United Arab Emirates, Mexico, India, Malaysia, Nepal, Pakistan, Russia, Switzerland, and the United States.

Therefore, the states depicted on the map all have a federal government.

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The map is attached below,

number of women reproductive age=25%
live birth rate =600000
total population=100000000
what is general fertility rate?​

Answers

Is this what you wanted ?

what living things can be found in mangrove forest and tropical rainforest

Answers

Answer:

Fish, shrimp prawns, crabs, shellfish and snails.

Others can be tigers, sharks, turtles, and many more.

Cuales son los cuatro tipos de relieve Europeo

Answers

Answer:

Speak English

Explanation:

How can I help if your talking gibberish

Giải thích sự khác biệt về hiện tượng mùa giữa cực Bắc và cực Nam

Answers

Answer:

Explanation:

North Pole:

Essentially a sea, an "ocean" located in the northernmost region of the Earth. It is surrounded by a layer of permafrost. This is also the main feature that makes the big difference between this area and Antarctica.

Has a maximum depth of about 4,000m.

Antarctic:

Is a continent. Due to its continental nature, the climate here is much harsher than that of the Arctic.

Also because it is a continent, a "giant iceberg" about 3,000m above average sea level, so the temperature is lower than Antarctica (the higher you go, the colder it gets).

Covering an area of ​​about 14,000,000 square kilometers, twice the size of Australia.

Nadine conducted an experiment with four possible outcomes. Trevor conducted the same experiment, but he doubled the number of trials. Which statements are true?

Answers

Answer:

Explanation:

Trevor has more experimental outcomes than Nadine.

Trevor's experimental probability is more likely closer to the theoretical probability than Nadine's

Reason being that more trials will result in more outcomes.

Since, Trevor has more trials which decreases the variation between theoretical and experimental and hence experimental probability is closer to theoretical probability

What is the main reason winds form?
A. Earth's atmosphere is unevenly heated.
B. Earth's biosphere adds carbon dioxide to the atmosphere.
C. Earth's hydrosphere absorbs the atmosphere
D. Earth's cryosphere absorbs solar radiation.

Answers

Answer:

c or b

Explanation:

maybe c not too sure

The answer would be C

Polar easterlies blow in a curving path from the high-pressure areas of the polar highs to the subpolar lows. What keeps these winds from blowing in a straight line? O A. Doldrums O B. Mountain ranges O C. Earth revolving around the sun D. Earth spinning on its axis SUBMIT​

Answers

Answer:  C

Explanation:

Which of the following is the
most complete definition of
electromagnetic radiation?
A. energy that can travel through space in the
form of waves
B. the energy formed in the sun's core
C. heat waves that travel through planets
D. light that has a higher frequency than visible
light

Answers

Answer:

I think it's a

Explanation:

i hope u get it right

Why do higher wages indicate a higher level of development for a country ?

Answers

Higher wages indicate a higher level of development because high salaries show that they have contributed their talents to the country's economy.

Explanation:

how are rock and minerals useful for the construcation of house​

Answers

Answer:

Minerals are used to build houses. Think of all the metal used in nails and screws. Bricks are made from clay, and cement and plasterboard are also made of minerals. ... When wet, the clay can be shaped, and then fired to make floor, wall, and roof tiles, as well as house bricks.

explain why survival and reproductive
success may not be equal for all individuals in
the population

Answers

Answer:

Differences such as the income of a person or the area that a person lives in the hygiene of the area all such things affect survival and reproductive Success

Survival and reproductive success are impact by differences such as a person's income, the place they reside in, and the sanitation of that area.

What is the impact?

The term impacts The feeling you leave on this life and others is your legacy. You have the ability to become accountable for your actions and be intended of your path. You can be deliberate about your influence and your impact. As we see there are impacts on things or on life are being there in it also be there in it by the different impacts changes are being there also in it.

Survival and reproductive success may not be the same for every member of the population due to differences in factors like a person's income, the location they reside in, and the level of hygiene in that area, all of which have an impact on these two factors.

Therefore, Survival and reproductive success are impact by differences such as a person's income,

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Which of the following is true of the population distribution of Russia?
a. Most of the people live in the East, and most of the land is in the East.
b. Most of the people live in the East, but most of the land is in the West.
Most of the people live in the West, but most of the land is in the East.
d. Most of the people live in the West, and most of the land is in the West.
C.

Answers

Answer:

A: Most of the people live in the East,and most of the land is in the East.

Explanation:

Hopefully this helps!

Triangle A”B”C” is the image of triangle ABC after a sequence of transformations which sequence of transformations could have been applied

Answers

Answer:

Triangle ABC is translated one unit rate, then rotated 90° clockwise about the origin

Explanation:

what is the full form of Earth ​

Answers

The Full form of EARTH is Education And Research Towards Health

A period of prolonged continental glaciation often indicates which phenomenon?
A)
An ice age
B)
An asteroid impact.
0)
A volcanic eruption
D)
A prolonged drought.

Answers

Answer: an ice age

Explanation:

An ice age refers to a period of prolonged continental glaciation. An ice age refers to a period when the temperature of the Earth's climate is very low for a long period of time.

This then brings about an expansion of the polar ice sheets, mountain glaciers and the continental ice sheets. Ice age, can also be referred to as the glacial age, and it's a period when there are thick ice sheets that cover areas of land.

what would a tree called if it grows taller than the canopy

Answers

Answer:

OVERSTORY LAYER

Explanation:

The overstory consists of giant emergent trees that tower above the surrounding canopy.

2
Discuss human activities that contribute to the increase in carbon dioxide in the atmosphere.​

Answers

Answer: Riding cars and using a lot of electricity

Explanation:

Which observatory detects X-rays
and gamma rays?
A. The Hubble Space Telescope
B. The Spitzer Space Telescope
C. The Compton Gamma Ray Observatory
D. The Chandra X-ray Observatory

Answers

Answer:

Chandra X-ray Observatory

Explanation:

Answer:

the chandra x-ray observatory

Explanation:

A physical geographer would likely not study: a. vulnerability of human populations to landslides. b. effects of drought and changing climate on regional water supplies. c. the impact of a hurricane's landfall on coastal areas. d. human influences on natural ecosystems. e. the diffusion of religious beliefs from the Middle East to other places around the globe.

Answers

Answer:

e. the diffusion of religious beliefs from the Middle East to other places around the globe.

Explain the Atlantic ocean current​

Answers

Answer:

Atlantic Ocean lies between north and South America on the west and Europea and Africa on the east.the second largest ocean on the earth .the oceans name derived from Greek mythology,means the sea of atlas .

Answer:

the Atlantic Ocean lies between north and South America on the west and Europe and Africa on the east. the second largest ocean on the earth .the oceans name derived from Greek mythology, means the sea of atlas.

Explanation:

when the national forest policy was formed in india​

Answers

Answer:

the national forest policy was formed in 19th October 1894 in India

Explanation:

Which of the following describes the work of an agronomist?

the study of field crops
the study of field ecosystems
the study of landscape design
the study of commercial uses of plants

Answers

An agronomist, or crop scientist, studies plants and how they can be grown, modified, and used to benefit society. They use science to carry out experiments that create new techniques for agriculture production.

The answer is the first option.

1.which are the fundamental particles whose masses are mainly responsible for the mass of an atom? give reasons ?

2.what is the mass of a Proton ?

3.what about the mass of a Neutron ?

4.what will be the mass of an atom having only one proton and one neutron ?

5.find the mass of an atom having two protons and two neutrons?

6.is there any relation between the total number of protons and neutrons in an atom and its mass ?

7.which is the fundamental particles of an atom that can be displaced when atoms rub against each other or they undergo chemical reaction with other atoms? give reasons ?​

Answers

Answer:

1. nuetron and proton.

2. 1.6726219 × 10-27 kilograms

3.939565413.3 eV/c2, or 1.674927471×10−27 kg

4.1.67 × 10-24 grams

5. 4

6. yes

7. electron and its a chemical reaction.

Explanation: some might not be right but i hope some are.

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