'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

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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*In the state of Alabama, U.S.*
What local fruits are in season during late July, or the beginning of August?
Explain/Discuss (Extra points for effort!)

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Local fruits in season during late July and the beginning of August in Alabama include peaches and watermelons.

Which fruits are in season during late July and early August?

During this time of year, Alabama enjoys an abundance of fresh locally grown peaches and watermelons. Peaches are known for their jui/cy swee/tness and can be enjoyed in various forms from eating them fresh.

Watermelons with their refreshing and hydrating qualities, are perfect for beating the summer heat. They are often enjoyed in their natural form or used to make refreshing beverages and salads. These fruits are widely available at farmers' markets and local produce stands, offering residents and visitors a delightful taste of the region's seasonal bounty.

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