Geography College

Select the correct answer from each drop-down menu. CD is perpendicular to AB and passes through point C(5, 12). If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is Reset Next . The point Submit Test Reader Tools lies on CD ??​

Answers

Answer 1

CD is perpendicular to AB and passes through point C(5, 12). If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of CD is Reset Next.

The point Submit Test Reader Tools lies on CD is (17, 0)

Point (-2, 19) lies on CD

Find slope of AB:

[tex]m = \frac{y2 - y1}{x2-x1}[/tex]

x1, y1 = (-10, -3)x2, y2 = (7, 14)

[tex]m = \frac{14 + 3}{7 +10}[/tex]

m = 1

Therefore,

1 × slope of CD

slope of CD = -1

Substitute m = -1 and (x, y) = (5, 12) in eq. 1

12 = -1(5) + c

c = 12 + 5

c = 17

Substitute m = -1 and c = 17 in eq. 1

y = -x + 17 ------ eq. 2

The x-intercept is found by setting y equal to 0

0 = -x + 17

x = 17

Thus, x intercept of CD is (17, 0)

Substitute (x, y) = (-5, 24) in eq 2

(-5.24) 24-(-5)+17-245+1724 = 22

(doesn't work)

(-2,19) 19-(-2)+17

19=2+17

19

Thus, Point (-2, 19) lies on CD

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Related Questions

Why does Switzerland have such a high HDI?

Answers

What is HDI?

HDI stands for Human Development Index. It measures how developed a country is based on three things: how long people live, how much they know, and how much they earn.

Why does Switzerland have a high HDI?

Swiss people live very long lives, an average of 83 years. This is because Switzerland has excellent healthcare and quality of life.

Swiss people are very well-educated. Adults in Switzerland go to school for an average of 13.4 years, one of the highest in the world. Education in Switzerland is high-quality and accessible to all.

Swiss people earn a lot of money. The average Swiss person makes over $80,000 a year, one of the highest in the world. This means the Swiss population enjoys a very high standard of living.

Switzerland also ranks highly in other measures like safety, environment, and happiness. People live in a clean, low-crime environment and tend to lead satisfying lives.

Summary

In short, the Swiss live long lives, have great education and jobs, make good money, and enjoy an amazing quality of life. That is why Switzerland tops the HDI rankings as such a highly developed nation.

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People also ask What is the solution of rural depopulation? What are the two main causes of rural depopulation? What are the causes of rural depopulation in geography? ... L​

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The solution to rural depopulation lies in addressing limited economic opportunities and inadequate infrastructure in rural areas.

The solution to rural depopulation lies in addressing its underlying causes and implementing targeted interventions. Two main causes of rural depopulation are limited economic opportunities and inadequate infrastructure. Insufficient job prospects push people, especially the younger generation, to seek better livelihoods in urban areas. Additionally, the lack of essential services such as healthcare, education, and transportation makes rural living less attractive. Geographical factors can also contribute, such as isolation, harsh climate, or vulnerability to natural disasters. To combat rural depopulation, governments should focus on developing rural economies by promoting entrepreneurship, investing in infrastructure, and diversifying industries. Enhancing access to education and healthcare, along with improving transportation networks, can improve the quality of life and make rural areas more appealing. Additionally, efforts to address specific geographical challenges and promote sustainable rural development can help counter depopulation trends.

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