Find an equation for the perpendicular bisector of the line segment whose endpoints
are (5, -4) and (-9, -8)
Answer:
y= -7/2x-26/2 or y= -7/2x-13
Explanation:
To solve this question you need all of these formulas:
gradient: [tex]\frac{y2-y1}{x2-x1}[/tex] , Point-Slope [tex]y-y1=m(x-x1)[/tex] ,
perpendicular m [tex](m1)x(m2)=-1[/tex] , Midpoint [tex](\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2} )[/tex]
and equation of a line [tex]y=mx+c[/tex]
where m stands for gradient
First things first.
To start you have to know the data of the line that includes the two endpoints, so you calculate its gradient (m) of this line with the gradient fromula: [tex]m=\frac{-4-(-8)}{5-(-9)}[/tex] , which equals 4/14 or 2/7
(It can also be called rise/run) (Remember the rule of signs where - and - equal +)
with that information you can proceed with the point-slope or point-gradient formula, so you plug the values: y-(-8) = 2/7 (x-(-9)), which results in y+8=2/7(x+9) and then y+8=2/7x+18/7.
To finish the equation you move eight to the other side. To simplify things you can change it into a fraction as I did, and remember to change signs.
y=2/7x+18/7 -8 -> y=2/7x+18/7-56/7 . This gives us the number of y=2/7x-38/7, which is the equation of the first line.
Now to know the gradient of the second line you apply the formula of perpendicular bisector where m1 x m2 = -1. We know m1 (gradient of the first line) is 2/7, so m2 = [tex]\frac{-1}{2/7}[/tex] = -7/2. m2 is therefore -7/2
Now you have to know the midpoint between the two endpoints, which will act as the start point of the perpendicular bisector
M (midpoint) = [tex](\frac{-9+5}{2} ,[/tex][tex]\frac{8+(-4)}{2} )[/tex], which give us the coordinates of (-2, -6)
(remember, x coordinate is always first)
with this point we can apply again the point-slope formula to know the equation of the line:
y-(-6)=-7/2(x-(-2)) -> y+6=-7/2(x+2) -> y+6=-7/2x - 14/2
Move the 6 to isolate the y
y=-7/2x -14/2 - 12/2
which equals y= -7/2x -26/2
You can check the results in this page: GraphPlotter
https://www.transum.org/Maths/Activity/Graph/Desmos.asp
To make sure the answer is correct.
Hope it helps :)
What two rivers supply water to the pampas and flow through four different countries? (choose two)
Group of answer choices
Amazon
Paraguay
Parana
Orinoco
Answer:
paraguay and parana
Explanation:
hope this helps :)
What Water challenges do Afghans face?
Answer:
More than 70 percent of the population lacks access to safe drinking water, with available drinking water often contaminated. Demand continues to grow, especially in urban areas, and rampant internal displacement due to the recent Taliban advances will only worsen this situation over the coming months.— https://www.newsecuritybeat.org/2021/08/water-in-security-afghanistan-taliban/
Which of the following is a natural hazard? (5 points)
a
Race car driving
b
Coastal erosion
c
Oil spills
d
Scuba diving
Answer:
b
Explanation:
It's the only naturally caused event. All of the other options are somehow caused or influenced by humans.
The change of seasons are ------------ related to the equal length of days andnights.
Answer: :b
Explanation:
The Sun is directly over the Equator and the days and nights are equal length everywhere. As time passes the Sun's position moves North and more of the Northern hemisphere is in direct sunlight. The days get longer.
what is the largest fresh water volcanic island in the world? najuato ometepe managua colombian
Answer:
Ometepe
Explanation:
It's 276 sq km large
Answer:
Ometepe
Explanation:
Got it right on Edge :)
Which of the following is not a cause of coastal erosion? (5 points)
a
Landslides
b
Mudslides
c
Wildfires
d
Vegetation removal
Answer:
wildfires
Explanation:
wildfires dont happen underwater
Mudslides are not a cause of coastal erosion. Hence, option B is correct.
What is coastal erosion?The phrase "four new innovations" refers to the "four great inventions" of ancient China, which were the compass, printing, gunpowder, and papermaking. To become what it calls a "innovation nation" by 2020, China has been placing a lot of focus on technology development.
The abacus, the sundial, and the Kongming lantern were among the first creations. By the end of the Middle Ages, 1000 years later, only Europe was aware of the Four Great Inventions—the compass, gunpowder, papermaking, and printing—which were among the most significant technological developments.
Increasing sea levels, storms, and other natural occurrences erode down or wash away the rocks, soil, and sand that make up a shoreline. This process is known as coastal erosion. Tens of thousands of acres of land are lost due to this process every year, and it also results in property damage costing hundreds of millions of dollars.
Thus, option B is correct.
For more information about coastal erosion, click here
https://brainly.com/question/20087178
#SPJ6
jaki jest udział państw Azji w światowej produkcji roślin i zwierząt.
blagam o pomoc na dzis daje naj!!!!!
Answer:
sorry pero di ko maintindihan yung sinasabi mo eh
Explanation:
???
do we lose an hour or gain an hour today? this is about the daylight savings time
Answer:
Daylight saving time in the fall means we “fall back” and — depending on your outlook — we lose an hour during the day or we gain an extra hour of sleep. For those states that observe Daylight saving time, it occurs the first Sunday in November. For 2021, the time change happens at 2 a.m. Sunday, Nov. 7
Explanation:
here is your answer hope you will enjoy and mark me as brain list
thank you
female literacy rates are often lower in india and some other south asian countries because females may have __________. a. more property rights b. the ability to serve in government roles c. professional work options d. less access to education
Answer:
d. less access to education
Explanation:
Answer:
its d
Explanation:
1.
Explain why there are arid (dry) areas on the Earth's surface. (4 marks)
Answer:
They are areas where there is a severe shortage of moisture, predominantly because precipitation levels are low. In some years they may even receive no rain at all.
Explanation:
In some deserts, aridity is in part also the result of high temperatures, which means that evaporation rates are great (Mainguet, 1999).
Hãy cho biết tác dụng của bản đồ trong học tập nêu dẫn chứng minh hoạ
he photograph below shows a magnified view of a portion of a rock that can float if placed in water. Which terms best describe this rock
hey..
igneous type rock
CAN SOMEONE PLEASE HELP I WILL GIVE 30 POINTS AND MARK BRAINLIEST IF THE ANSWER IS CORRECT ALSO NO LINKS PLEASE
Answer:
I would guess Economic because of mining and mineral deposits
why does a temperate zone support many varieties of organisms
Answer:
Torrid zone is too hot which sometimes causes more hotness in soil and won't have water which helps the plants and organisms not to survive. => In such cases Temperate zone experience both climatic conditions for short periods of time, Hence it supports many varieties of organisms
Why is it difficult to define the boundaries of a functional region? (5 points)
A. Geographers cannot measure the culture of people in a functional region.
B. Functional regions depend on people’s mental images of places.
C. Many different characteristics define functional regions.
D. Functional regions radiate out from a defined center.
E. Different populations will have different viewpoints on the boundaries of the region.
which ocean keeps southeast asia and india soaked with monsoons for months on end
Answer:
Indian Ocean
Explanation:
Who were the Mexica?
Answer:
here
Explanation:
The Mexica were a Nahua people who founded Tenochtitlan and Tlatelolco in lake texcoco in 1325 and 1337.
A map of the United States with mountain ranges labeled A, B, C, and D. The mountain range in Oregon and Washington is labeled A. The mountain range in California and Arizona is labeled B. The mountain range from Montana to Texas is labeled C. The mountain range from New York to Georgia is labeled D.Use the drop-down menus to match each letter with the name of the mountain range.A:B:C:D:
Answer:
A- Cascade Mountains; B- Sierra Nevada Mountains; C- Rocky Mountains; D- Appalachian Mountains
Explanation:
Hope this helps!
Meteors make a huge, bright streak in the atmosphere when they fall because ____. (Select all that apply.)
Answer:
Meteors create streaks of light in the sky as it burns up in the Earth's atmosphere, making appear like a falling star in the sky. ... The larger atmosphere of the Earth makes the meteors burn up earlier before they reach the ground.
Explanation:
Difference between cultural and natural attractions in tourism
¿Cuáles son las causas de las migraciones del campo a la ciudad?
Answer:
Innnnn English pleaseeeeee
Which weather pattern consists of a high-pressure system with descending cool, dry air that leads to clear weather? O The Coriolis effect O Convection currents O Cyclone movement O Anti-cyclone movement
Answer:
D. Anti-cyclone movement.
Explanation:
Cyclone movement has winds that circulate at a low pressure, and the opposite of the would be anti-cyclone movement, which is the high pressure winds that circulate clockwise.
Answer: Anti-Cyclone Movement
Explanation: That’s the definition
A biased way of viewing culture would be judging another culture by your own standards of what is right or wrong. Which of the following reflects this type of belief that one’s own culture is the best or better than other cultures?
a.Ethos
b.Assimilation
c.Sequent occupancy
d.Ethnocentrism
Answer:
its D
Explanation:
how does the scarp retreat cause development of canyone landscape
Explanation I DONT KNOWW
When did the countries of Central America become
independent? How?
Answer:
The states that composed the Central American Federation (also referred to as the Federation of the Centre of America) were the states known today as Costa Rica, El Salvador, Guatemala, Honduras, and Nicaragua. These areas declared independence from Spain on September 15, 1821. In 1810, the Mexican War of Independence began when Catholic priest Miguel Hidalgo y Costilla proclaimed the Grito de Dolores, which was a call to open revolt. A revolt also broke out among Creole groups in El Salvador in 1811. ... On September 15, 1821, Central America officially gained independence from Spain.
Explanation:
Mark me brainly please
The largest portion of energy in the food system is consumed by household storage and preparation.
a. True
b. False
belize and costa rica are two countries in ____
A. North America
B. South America
C. the Caribbean
D. Central America
plz and ty
Answer:
they are both in Central America
the origin and development of the atlantic ocean can be attributed to a divergent movement along the boundary known today as the
Answer:
The Mid Atlantic Ridge
Explanation:
Realiza un plan de discusión sobre los indios Tarahumara en pareja contesta lo siguiente:
1.- Menciona su interés, político, económico, cultural, poderío de los Tarahumara?
2.- Es importante conocer otras culturas y porque?
3.- conoces a otras culturas y cuales conoces y si no es así, identifica mínimo 5 culturas mexicanas y descríbelas brevemente.
Los Tarahumaras son un pueblo aborigen nativo de México. Hoy en día hay alrededor de 50.000 de ellos, principalmente en la región de Chihuahua.
La propia cultura de los Tarahumaras se ha conservado bien y es especialmente conocida por su tradición de correr. Su religión mezcla la influencia de sus propias tradiciones y el cristianismo. Se utiliza ropa occidental tradicional y moderna.
El problema de los tarahumaras hoy en día es la falta de educación y servicios de salud. Muchos se quedan sin educación, y los analfabetos representan más de la mitad del total de la población.
Aprende más en https://brainly.com/question/3594916
