On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, negative 5), (1, negative 2), (1, negative 5). Triangle A prime B prime C prime has points (5, 5), (1, 2), (1, 5). Triangle A double-prime B double-prime C double prime has points (negative 1, 3), (negative 5, 0), (negative 5, 3).
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

Translation of negative 6 units x, negative 2 units y composition reflection across the x-axis
Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y
Translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0
90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y

Answer:

it is a reflection over x axis

A slope is also known as the gradient of a line. The two lines are perpendicular lines. Thus, the correct option is B.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

If the two of the given equations are written in the slope intercept form then,

-2y = -x + 1

y = (x/2) - (1/2)

Therefore, the slope of the first equation is 1/2.

-y=2x− 4

y = -2x + 4

Therefore, the slope of the second equation is -2.

Since, for two lines to be parallel the slope of the equation must be equal, while for the lines to be perpendicular the product of their slope must be equal to -1.

slope 1 × slope 2

= 1/2 × -2

= -1

Hence, the two lines are perpendicular lines. Thus, the correct option is B.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPj1

Answer:

Sus animales misteriosos y gigantes que se ocultan bajo el mar

Explanation:

Answer:

Hess's law:

First reaction:

Ca (s) + CO₂ (g) + ½O₂ (g) → CaCO₃ (s) ΔH₁ = -812.8 kJ

Second reaction:

2Ca (s) + O₂ (g) → 2CaO (s) ΔH₂ = -1269 kJ

Overall reaction:

CaO (s) + CO₂ (g) → CaCO₃ (s) ΔH = ?

According to the Hess law of constant heat summation, the enthalpy of the overall reaction is the sum of the enthalpy of both reactions but this will not give the enthalpy of the overall reaction in this case. The enthalpy of the overall reaction is rather obtained by halving the enthalpy of the second intermediate reaction and reversing its sign before taking the sum as shown below;

Enthalpy of Intermediate reaction 1 + ½(- Enthalpy of Intermediate reaction 2) = Enthalpy of Overall reaction

Find more information about Enthaply change here:

brainly.com/question/26991394

Answer:

Behavior or strategy that individuals can use or do to support a healthy envitonment is to mainatain sanitanion. to conduct awareness programm or can keep yoirself clean first by maintaing cleanliness. suggest people not to make a environment dirty, and lastly to support a healthy envitonment, we need to maintain a healthy eco system and recycle the waste products.

Answer:

Because the Earth rotates on its axis, circulating air is deflected toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere. This deflection is called the Coriolis effect. Click the image for a larger view. Coastal currents are affected by local winds.

Explanation:

Answer:

Because the Earth rotates on its axis, circulating air is deflected toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere. This deflection is called the Coriolis effect. Click the image for a larger view. Coastal currents are affected by local winds.

Explanation:

I hope this helps?

type ''How did geographical features of the country impact Japan's growth and expansion'' and click the 2nd site which is a file with all the info you need! i wish I can send it to you but I don't know how

Geographical features have played a significant role in shaping the growth and expansion of China. China is characterized by vast mountain ranges, such as the Himalayas and the Kunlun Mountains. These mountains have acted as natural barriers, providing protection against invasions and external threats. They have helped in creating a sense of isolation, allowing China to develop its own distinct culture and civilization.

China is home to several major rivers, including the Yangtze and Yellow Rivers. These rivers have served as transportation routes, facilitating trade and communication between different regions of the country. They have also supported agriculture, as the fertile plains surrounding these rivers have been vital for food production.

China has a long coastline along the Pacific Ocean. This has enabled maritime trade and contact with other countries, leading to the development of coastal cities and the expansion of trade networks. The coastal areas have been centers of economic activity and have played a crucial role in China's growth and development.

China has vast desert regions, such as the Gobi Desert and the Taklamakan Desert. These arid landscapes pose challenges for agricultural development and human habitation. However, the Chinese have found ways to adapt, utilizing advanced irrigation techniques and building the Great Wall as a defense against desert nomads.

Overall, the geographical features of China have influenced its growth and expansion by shaping its cultural identity, providing natural defenses, facilitating trade and communication, and posing challenges that required innovative solutions. Understanding and harnessing the opportunities and challenges presented by the country's diverse geography has been crucial in China's historical development.

China has overcome its geographical challenges through various strategies and innovations:

1. Construction of the Great Wall: To protect against invasions from nomadic groups in the north, the Chinese constructed the Great Wall. This immense fortification not only served as a defensive barrier but also enabled efficient troop movements and communication along the northern border.

2. Development of advanced irrigation systems: China's agricultural productivity was enhanced by the construction of intricate irrigation systems. Canals, terraced fields were built to overcome the challenges of varying terrain and ensure sufficient water supply for crops.

3. Creation of the Grand Canal: The Grand Canal, stretching over 1,100 miles, connected major rivers and facilitated internal trade and transportation. This extensive waterway system allowed goods to be transported more efficiently and played a crucial role in China's economic development.

4. Maritime exploration and trade: Despite its long coastline, China faced challenges in navigating its waters due to treacherous currents and monsoons. However, Chinese sailors developed advanced navigational techniques such as compasses and improved shipbuilding methods, enabling extensive maritime exploration and trade along the Silk Road and beyond.

5. Urban planning and infrastructure development: China's densely populated regions necessitated efficient urban planning. The construction of cities with carefully designed layouts, such as Beijing's Forbidden City, demonstrated China's ability to adapt to its geographical challenges and provide effective governance.

6. Technological advancements: Over time, China has achieved significant technological advancements in various fields, such as agriculture, transportation, and communication. Innovations like the development of high-yield rice varieties and the construction of high-speed rail networks have helped overcome geographic limitations and fostered economic growth.

Learn more about China here:

https://brainly.com/question/11915231

#SPJ2