Determine the equation of the circle with radius 7 and center (4,9).

Answers

Answer 1

Answer:

[tex]\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 49}[/tex]

Explanation:

The equation of a circle is:

[tex]\displaystyle{\left(x-h\right)^2 + \left(y-k\right)^2 = r^2}[/tex]

Where (h,k) represents the center point and r is the radius. We know the center is at (4,9) and the radius is 7. Thus, substitute in the values:

[tex]\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 7^2}[/tex]

Which eventually becomes:

[tex]\displaystyle{\left(x-4\right)^2 + \left(y-9\right)^2 = 49}[/tex]


Related Questions

Describe how a fixed water deluge system surrounding a storage
tank would work in the event of a fire.

Answers

A fixed water deluge system surrounding a storage tank would work in the event of a fire by quickly extinguishing the fire. In the event of a fire, the deluge system would be activated when the fire detection system is triggered. Water would flow through the network of pipes and nozzles, drenching the fire with water.

What is a fixed water deluge system?

A fixed water deluge system is a type of fire protection system that uses open nozzles or sprinklers to disperse large quantities of water on a fire. The system is commonly used in high-hazard locations such as aircraft hangars, offshore drilling rigs, and petrochemical facilities.

How does it work?

The deluge system consists of an arrangement of pipes that are connected to a water supply through a control valve. The pipes are arranged in a network around the perimeter of the storage tank and are fitted with open nozzles or sprinklers.

The system is designed to release a large quantity of water when a fire is detected. When the fire detection system is activated, the control valve is opened, and water flows through the pipes and nozzles. The open nozzles or sprinklers drench the fire with water, extinguishing it.

How would it work in the event of a fire?

In the event of a fire, the deluge system would be activated when the fire detection system is triggered. Water would flow through the network of pipes and nozzles, drenching the fire with water. The system would quickly extinguish the fire, preventing it from spreading to other areas of the facility.

In summary, a fixed water deluge system surrounding a storage tank would work by quickly extinguishing the fire through the release of large quantities of water from open nozzles or sprinklers when a fire is detected.

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what are the reasons for having a fixed water deluge system
around the storage tanks in the event of a fire?

Answers

The reasons for having a fixed water deluge system around the storage tanks in the event of a fire are 1. To fight the fire. 2. Protection of Property and Personnel. 3. To extinguish the fire. 4. Cooling and protecting the tank shell. 5. To avoid further damage.

Why have a fixed water deluge system around the storage tanks in the event of a fire?

1. To fight the fire: The purpose of the fixed water deluge system is to help fight the fire by cooling the storage tank shell and lowering the fire temperature. The lower temperature reduces the risk of the tank shell overheating and cracking, allowing the storage tank contents to leak and spread the fire.

2. Protection of Property and Personnel: The purpose of the fixed water deluge system is to protect the storage tank and its contents, as well as the surrounding property and personnel. The fire could potentially cause a lot of damage and injuries if it were to spread beyond the storage tank. A fixed deluge system can keep the fire from spreading.

3. To extinguish the fire: The purpose of the fixed water deluge system is to extinguish the fire. The system sprays water on the fire, putting it out.

4. Cooling and protecting the tank shell: The purpose of the fixed water deluge system is to cool the tank shell and protect it from cracking. This is done by spraying a large amount of water on the tank shell.

5. To avoid further damage: A deluge system can prevent the fire from spreading to other tanks or areas of the facility. By cooling the shell, the potential for an explosion is minimized.

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What is the m<1?
A- 100
B-50
C-90
D-40

Answers

From the image or diagram given, note that the measure of angle 1 is also 100°.

How is this so?

The theorem that supports   the relationship between the measure of an arc and the measure of the central angle is known as the Central Angle Theorem.

According to this theorem,the measure of a central   angle in a circle is equal to the measure of the arc it intercepts.

This theorem is based on the fact that in a circle,the ratio of the arc length to the   circumference is equal to the ratio of the central angle to the full angle (360 degrees).

Therefore,if the arc measures 100 degrees,the central angle formed by that arc will also measure   100 degrees.

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What is the importance of Environmental Impact Assessment? (non
plagiarized detailed answer please ) thank you in advance!

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Environmental Impact Assessment (EIA) is a crucial process that evaluates the potential environmental, social, and economic impacts of proposed development projects.

Its importance lies in several key aspects:

1. Environmental Protection: EIA helps identify and assess the potential adverse effects of projects on the environment, including ecosystems, biodiversity, air and water quality, and natural resources. It ensures that mitigation measures are implemented to minimize negative impacts and protect sensitive areas.

2. Sustainable Development: EIA promotes sustainable development by considering the long-term consequences of projects. It encourages the integration of environmental, social, and economic factors, allowing for informed decision-making that balances development goals with environmental and social concerns.

3. Public Participation: EIA involves public consultation, allowing affected communities, stakeholders, and experts to provide input and raise concerns. It ensures transparency, accountability, and inclusiveness in decision-making, enhancing public trust and fostering sustainable development practices.

4. Decision-Making Tool: EIA provides decision-makers with comprehensive information on the potential impacts of projects. This enables them to make informed choices, select alternative options, or modify project designs to minimize negative effects and maximize positive outcomes.

5. Legal and Policy Framework: EIA is often mandated by national and international laws, regulations, and policies. It provides a systematic framework for assessing and managing environmental impacts, ensuring compliance with legal requirements, and promoting responsible development.

6. Project Optimization: EIA encourages early consideration of environmental aspects in project planning and design. Identifying potential impacts and proposing mitigation measures at an early stage, it helps optimize project performance, reduce costs, and minimize delays associated with retrofitting or addressing environmental issues later.

7. International Cooperation: EIA facilitates international cooperation and coordination by providing a common framework for assessing and managing environmental impacts across borders. It supports the consideration of transboundary impacts, fosters collaboration, and helps prevent or address conflicts between nations.

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The occurrence of earthquakes is associated with. . Select one:

a. Locations only in the southern hemisphere


b. Only divergent plate boundaries


c. Only convergent plate boundaries


d. Only transform plate boundaries


e. Locations only in the northern hemisphere


f. Any of transform, divergent and convergent plate boundaries

Answers

Earthquakes can occur at any of the three types of plate boundaries: transform, divergent, and convergent. Their occurrence is not limited to a specific hemisphere but can happen anywhere in the world where tectonic plates interact.

The occurrence of earthquakes is not limited to a specific hemisphere or plate boundary type. Earthquakes can happen at any of the three types of plate boundaries: transform, divergent, and convergent.

Transform plate boundaries occur when two plates slide past each other horizontally. The friction and stress along these boundaries can build up over time, resulting in earthquakes. Famous examples of transform plate boundaries include the San Andreas Fault in California.

Divergent plate boundaries are characterized by plates moving away from each other. As the plates separate, magma rises to fill the gap, forming new crust. The movement of plates and the volcanic activity associated with this process can cause earthquakes. The Mid-Atlantic Ridge is an example of a divergent plate boundary.

Convergent plate boundaries occur when two plates collide or come together. These boundaries can involve subduction, where one plate sinks beneath another, or continental collision, where two continental plates collide. The intense pressure and compression at these boundaries can generate powerful earthquakes. The Pacific Ring of Fire, which surrounds the Pacific Ocean, is known for its numerous convergent plate boundaries and high earthquake activity.

In summary, earthquakes can occur at transform, divergent, and convergent plate boundaries. The occurrence of earthquakes is not limited to a specific hemisphere. Earthquakes can happen anywhere in the world where tectonic plates interact, regardless of their location in the northern or southern hemisphere.

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The Discontinuous North Question 27 options: is comprised of the Scandinavian countries, Norway, Denmark, and Sweden has a largely inhospitable higher-latitude climate is entirely separated by water from the rest of Europe is the least developed region of Europe, due to its peripheral location has always been able to exploit abundant natural resources

Answers

The Discontinuous North is the region in Europe that is situated at high latitudes. The region is also known as Fennoscandia and is mostly comprised of Norway, Denmark, and Sweden.

The region has a climate that is predominantly inhospitable due to its high-latitude position.

The region is separated by water from the rest of Europe and is considered the least developed region due to its peripheral location. Historically, the Discontinuous North has always been able to exploit abundant natural resources, which has driven the development of the region.

Additionally, the region has a high standard of living and is often seen as a model for social welfare systems globally. The Discontinuous North region of Europe, though peripheral, has had a rich history of natural resource exploitation. Despite being the least developed region in Europe, the region has been experiencing growth and development in recent years, thanks to its rich history and abundance of natural resources.

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Draw the hungarian symbol for es

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search it because no one seems to know I'm sorry for the inconvenience

H. W2 break even analysis milled tooth bit drilled 2,461 ft of limestone in 150 rotating hours. Other relevant data for this bit is: Trip time (T) = 8 hrs,Bit cost (B) = $3,000, Rig cost = 900 $/hr It is proposed to replace this bit with an insert-type bit costing 8,500. Calculate the rotating time required of the new bit at breakeven cost for equal penetration rates

Answers

The rotating time required for the new insert-type bit to reach the breakeven cost for equal penetration rates is 143.89 hours.

To calculate the rotating time required for the new bit at breakeven cost for equal penetration rates, we can use the concept of break-even analysis. Break-even analysis determines the point at which the cost of two alternatives is equal.

1. Calculate the cost of drilling with the milled tooth bit:

  Cost of drilling with the milled tooth bit = Trip time cost + Rotating time cost

  Trip time cost = Trip time (T) x Rig cost per hour

               = 8 hrs x $900/hr

               = $7,200

  Rotating time cost = Rotating time x Rig cost per hour

                     = 150 hrs x $900/hr

                     = $135,000

  Total cost of drilling with the milled tooth bit = Trip time cost + Rotating time cost + Bit cost

                                                 = $7,200 + $135,000 + $3,000

                                                 = $145,200

2. Set up the equation for the break-even point:

 Cost of drilling with the milled tooth bit = Cost of drilling with the insert-type bit

  $145,200 = Trip time cost + Rotating time x Rig cost per hour + Cost of the insert-type bit

            = $7,200 + (Rotating time x $900) + $8,500

3. Rearrange the equation to solve for the rotating time:

  Rotating time x $900 = $145,200 - $7,200 - $8,500

  Rotating time x $900 = $129,500

  Rotating time = $129,500 / $900

                = 143.89 hours

Therefore, the rotating time required for the new insert-type bit to reach the breakeven cost for equal penetration rates is approximately 143.89 hours.

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Please describe the negative externality from this case and broadly describe the ways to internalise the externality.
"There was a ferry wharf and it was the one and only way to cross the river for millions of people. There are so many restaurants and other businesses at the wharf. Speedboats are also a way to cross the river for many people. But a bridge was built and the ferry wharf lost its customers. So many businesses like hotels, speedboat services, and shops are being shut down and the economy of this wharf is now a disaster."

Answers

The poor externality in this case is the terrible effect on corporations and the neighborhood economy because of the construction of the bridge. The ferry wharf, which become the number one transportation hub and supply of sales for lots groups, suffered a full-size loss of customers and subsequent closures of lodges, speedboat offerings, and shops.

To internalize this externality and mitigate its negative outcomes, several techniques can be taken into consideration:

Compensation: The government or responsible party can provide reimbursement or monetary help to the affected agencies and people to help them recover and transition to new opportunities.

Infrastructure improvement: Investment in alternative infrastructure or centers close to the ferry wharf can appeal to new companies and sports, promoting an economic boom and presenting alternative resources for employment.

Diversification: Encouraging affected corporations to diversify their services or products to conform to changing circumstances can assist them continue to exist and thrive in the new aggressive landscape.

Economic incentives: Introducing incentives, including tax breaks or presents, for agencies to stay within the vicinity or put money into new ventures can help maintain nearby companies and stimulate economic pastime.

Community development tasks: Implementing community development applications, which include task training, talent development, and entrepreneurial assistance, can empower affected individuals to explore new financial possibilities and rebuild the local financial system.

By internalizing the poor externality, efforts may be made to mitigate the unfavorable outcomes and foster sustainable monetary development in the affected region.

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Need help with this assignment involving graphing in geography. Need it before Wednesday, June 14, 2023.

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Graphing plays a crucial role in geography by providing visual representations of spatial data and patterns.

What is the significance of graphing in geography?

Graphing in geography allows researchers and geographers to analyze and interpret data more effectively. It helps in identifying spatial patterns, trends, and relationships between variables. By representing data in graphical formats such as maps, charts, and graphs, complex information can be simplified and understood more easily.

Graphing enables geographers to visualize spatial distributions, analyze changes over time and make informed decisions regarding resource management, urban planning, environmental monitoring, and other geographical applications. It enhances the communication of findings and supports the dissemination of geographic knowledge to a wider audience.

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Recommendation and possible solutions to solve human impact on river

Answers

Regulating and monitoring human activities near rivers, promoting sustainable practices, and implementing effective water management strategies can help mitigate the negative impacts on rivers.

To address the human impact on rivers, it is crucial to implement a combination of regulations, sustainable practices, and effective water management strategies. Firstly, regulations should be in place to control and monitor human activities near rivers. This can include enforcing laws to prevent pollution from industries, agricultural runoff, and improper waste disposal. Additionally, regulations can be implemented to manage riverbank development, preventing encroachment and habitat destruction.

Promoting sustainable practices is essential for minimizing the human impact on rivers. This includes promoting responsible agriculture by implementing measures to reduce fertilizer and pesticide runoff, encouraging sustainable irrigation practices, and promoting the preservation of riparian buffers. Promoting responsible tourism and recreational activities along rivers is also crucial, ensuring that activities such as boating, fishing, and camping are conducted in an environmentally friendly manner.

Furthermore, effective water management strategies play a vital role in protecting rivers. This involves implementing measures to conserve water, such as promoting water-efficient technologies, managing water withdrawals, and implementing water recycling and reuse systems. Additionally, implementing watershed management plans that consider the entire river system, its tributaries, and their interconnectedness can help maintain the health and integrity of the river ecosystem.

It is important to note that addressing the human impact on rivers requires a multi-stakeholder approach involving government bodies, environmental organizations, local communities, and individuals. By working together and implementing these recommendations, we can minimize the negative impacts of human activities on rivers and ensure the long-term sustainability of these valuable ecosystems.

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ACTIVITY OF INTERGRATION Foot Afriad how recorded some achievements in the touri's h pector and this is due to the efforts of the East African community partner states. These work together in promoting growth in the sector by investigating in hotels, transportation, marketing and product development, and deciated government opports in conservation. They have also promoted and marketed the community as a single Barist Destination while conserving and ensoring sustainable utilization of wildlife beyand tourist sites Sources: Tourism and wildlife conservation. Imagine you are invited to East Africa Tourism and Hospitality Expo and you are to respect represent your country- 4 Kirite on essay of about 500 words on conversation of biological diversity​

Answers

Kirite is dedicated to preserving biological diversity, commonly referred to as biodiversity. The nation places a strong emphasis on preserving ecosystems by creating protected areas like national parks and wildlife reserves.

Kirite's efforts on biological diversity

Kirite has made considerable efforts to preserve biological variety as a nation. To protect ecosystems and stop their deterioration, the government has established protected areas, such as national parks and wildlife reserves. Through habitat restoration and anti-poaching measures, special emphasis is paid to safeguarding endangered species, notably the Kirite elephant and leopard.

Kirite encourages ecotourism projects, spreads awareness among tourists, and promotes sustainable tourism practices. Programs are put in place to raise awareness and inculcate a sense of obligation for the preservation of biodiversity. To improve conservation efforts, the nation regularly works with international organizations and surrounding nations. The dedication of Kirite to protecting its natural heritage demonstrates its commitment to a prosperous future where both natural and human systems can flourish.

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