'The midpoint of AB is M (-6, 4), If the coordinates of A are (-7, 2), what are the coordinates of B?

Answers

Answer 1

The midpoint of AB is (-6, 4), and by using the midpoint formula, we determined that the coordinates of point B are (-5, 6).

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points A(x1, y1) and B(x2, y2) can be calculated by taking the average of their x-coordinates and the average of their y-coordinates.

Given that the midpoint M is (-6, 4) and the coordinates of A are (-7, 2), we can substitute these values into the formula and solve for the coordinates of B.

Let's denote the coordinates of point B as (x, y). Using the midpoint formula, we have:

x = (x1 + x2) / 2,

-6 = (-7 + x) / 2,

-12 = -7 + x,

x = -5.

Similarly, solving for the y-coordinate:

y = (y1 + y2) / 2,

4 = (2 + y) / 2,

8 = 2 + y,

y = 6.

Therefore, the coordinates of point B are (-5, 6).

In summary, the midpoint of AB is (-6, 4), and by using the midpoint formula, we determined that the coordinates of point B are (-5, 6). The midpoint formula is a useful tool for finding the coordinates of a midpoint when only one endpoint and the midpoint are known.

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Related Questions

What made you select the broad scope of TECHINT versus specifying an intelligence disciple that falls under TECHINT?

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Technical Intelligence (TECHINT) is the result of technical collection capabilities. TECHINT typically consists of detecting, intercepting, exploiting, and analyzing the electromagnetic or acoustic emissions of technical systems employed by adversary foreign powers and terrorist groups.

These systems include weapons systems, radars, and other military platforms that produce such emissions. TECHINT has a broad scope as it encompasses several disciplines like signals intelligence (SIGINT), human intelligence (HUMINT), measurement and signature intelligence (MASINT), and imagery intelligence (IMINT). TECHINT enables intelligence professionals to understand the enemy's capabilities, vulnerabilities, and intentions to inform policymakers' decisions.

TECHINT provides the benefit of integrating data from several sources and providing a big picture of the adversary's capabilities, which is not possible with a narrow intelligence discipline. The technical intelligence gathered through TECHINT provides policymakers with a comprehensive view of the threat environment, helping them make informed decisions on defense and national security matters.

With its broad scope, TECHINT enables analysts to analyze the threat landscape across all dimensions and come up with a complete picture of the adversary's intentions and capabilities. This broad scope allows for the identification of threats that may have been missed by narrower intelligence disciplines.



In conclusion, selecting the broad scope of TECHINT over specifying an intelligence discipline that falls under TECHINT provides the advantage of integrating data from several sources, a comprehensive view of the threat environment, and identification of threats that may have been missed by narrower intelligence disciplines. Therefore, TECHINT is an important discipline for gathering intelligence and providing policymakers with the necessary information to make informed decisions about national security and defense matters.

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The success of the triangular trade system depended on increasing-

A.
political independence of the Caribbean nations.

B.
emphasis on free trade in European nations.

C.
slave trade in the Western Hemisphere.

D.
industrialization of the South American colonies.

Answers

Answer:

c.

Explanation:

Also known as the trans-atlantic slave trade.

On a calm sunny day a weathered boulder rolls down a steep cliff and falls into the sea

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On a calm sunny day, a weathered boulder rolls down a steep cliff and falls into the sea. As the boulder makes its descent, it gains momentum, propelled by gravity and the steep incline of the cliff.

The weathering process, which involves the gradual breakdown of rock due to environmental factors such as wind, water, and temperature changes, may have weakened the boulder over time, making it more susceptible to movement.

The boulder's journey down the cliff demonstrates the forces of nature in action. The steepness of the cliff and the pull of gravity allow the boulder to accelerate, picking up speed as it approaches the edge. Once it reaches the precipice, the boulder plunges into the sea below, creating a splash and sending ripples across the water's surface.

This event showcases the dynamic nature of coastal landscapes and the ongoing processes of erosion and deposition. Over time, weathering and erosion shape the cliffs, causing them to gradually recede and change their form. The fallen boulder becomes part of the coastal ecosystem, contributing to the complex interactions between land and sea.

This natural phenomenon serves as a reminder of the powerful forces at play in shaping our environment. It highlights the continuous transformation of Earth's surface and the interconnections between geological processes and the ecosystems they influence.

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A circle is centered at the origin with a radius of 3 units what is the equation for the circle?

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the equation for a circle centered at the origin with a radius of 3 units is x^2 + y^2 = 3^2, which can be simplified to x^2 + y^2 = 9.

A circle is centered at the origin with a radius of 3 units. The equation for this circle can be written in standard form as x^2 + y^2 = r^2, where (0, 0) is the center of the circle and r is the radius of the circle. Substituting the values given, the equation becomes x^2 + y^2 = 3^2.

The equation of a circle in standard form is written as (x - h)^2 + (y - k)^2 = r^2,

where (h, k) is the center of the circle and r is the radius of the circle.

Since the given circle is centered at the origin, (h, k) = (0, 0).

Substituting these values, the equation becomes x^2 + y^2 = r^2.

The radius of the given circle is 3 units, so r = 3. Substituting this value in the equation, we get x^2 + y^2 = 3^2.

In conclusion, the equation for a circle centered at the origin with a radius of 3 units is x^2 + y^2 = 3^2, which can be simplified to x^2 + y^2 = 9.

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ways used by developing countries to cope with population growth

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In developing countries, the population is growing at an alarming rate. In order to cope with this issue, the following measures are adopted: encouragement of birth control measures,  Improved health care facilities,  Improvement in education facilities, Introduction of family planning and  Promotion of female education.

1. Encouragement of birth control measures: The government of developing countries is encouraging people to use birth control measures. By educating people on the advantages of birth control, they are reducing the population growth rate.

2. Improved health care facilities: The government of developing countries is improving the health care facilities in their country. This is to make sure that the death rate is reduced, and people can live a longer life. The longer people live, the fewer children they will have.

3. Improvement in education facilities: By improving the education facilities in their country, the government of developing countries is trying to reduce the population growth rate. The more people are educated, the fewer children they will have.

4. Introduction of family planning: The government of developing countries is introducing family planning programs to the people. By introducing family planning, they are trying to reduce the population growth rate.

5. Promotion of female education: In developing countries, there is a notion that women should only be housewives. But the government of developing countries is promoting female education. By promoting female education, they are trying to reduce the population growth rate. As educated women tend to have fewer children.These are some of the ways used by developing countries to cope with population growth.

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reasons for high population increase/explosion in most countries

Answers

Increase in

fertility rate

, decline in

death rates

and migration of

international migrants

are the major reason for the increasing population in most of the countries.

As we all know that there is a rapid increase in the world population in the last few years. The

birth rate

is

increasing

continuously as compared to the

death rate

. There is also not any law for controlling the population in any country.

The death rates of the people are declining regularly due to perfection in the field of

medical institutions.

All the medical institutions are at their peak. Hence at last we can say that all the reasons explained above are the major reasons for the increase in the world population.

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increase in population

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problems in the educational system in the philippines problems among youths today recommendation

Answers

The educational system in the Philippines faces several challenges that impact the quality and effectiveness of education - Limited Access, Inadequate Funding, Curriculum Relevance and Quality of Teachers.

Some of the key problems include:

Limited Access: Many areas, particularly in rural and remote regions, lack access to quality education. Limited infrastructure, lack of resources, and distance from schools hinder the educational opportunities for students in these areas.Inadequate Funding: Insufficient funding for education results in a lack of resources, outdated facilities, and a shortage of qualified teachers. This negatively affects the overall quality of education provided.Curriculum Relevance: The current curriculum may not align with the needs of the rapidly changing job market. There is a need to ensure that the curriculum equips students with the necessary skills and knowledge for their future careers.Quality of Teachers: The shortage of qualified and trained teachers affects the quality of instruction. There is a need to attract and retain highly skilled educators, provide continuous professional development opportunities, and improve teacher-student ratios.

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