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 :)
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:
Find the length of the diagonal BD in the quadrilateral ABCD shown in the coordinate plane
A.5 Units
B.35 units
C.37 units
D.85 units
Answer:
[tex]\sqrt{85}[/tex]
Explanation:
Given:
B is at (4,3) and D is at (-2,-4).
Solution:
[tex]B(4^{x1} ,3^{y1} )[/tex] [tex]D ( -2^{x2} ,-4^{y2} )[/tex] [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]BD=\sqrt{(-2-4)^2+(-4-3)^2}[/tex]⇒ [tex]BD =\sqrt{(-6)^2+(-7)^2}[/tex]
[tex]BD =\sqrt{36+49}[/tex] ⇒[tex]BD =\sqrt{85}[/tex]
Therefore the answer is [tex]\sqrt{85}[/tex]
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).
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.
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:
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:
???
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!
¿Cuáles son las causas de las migraciones del campo a la ciudad?
Answer:
Innnnn English pleaseeeeee
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
Hãy cho biết tác dụng của bản đồ trong học tập nêu dẫn chứng minh hoạ
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
que es una cuenca?
diferencia entre rio y cuenca
tipos de cuencas
que es un sistema hidrografico
Una cuenca de drenaje de un río es un área drenada por un río y todos sus afluentes. Una cuenca fluvial se compone de muchas cuencas hidrográficas diferentes. Una cuenca es una versión pequeña de una cuenca fluvial. Cada arroyo y afluente tiene su propia cuenca, que desemboca en un arroyo o humedal más grande.
how is water vapour added to the atmosphere
Answer:
Heat from the Sun
Explanation:
It causes water to evaporate from the surface of lakes and oceans. This turns the liquid water into water vapor in the atmosphere
Answer:
think about how they tot you tge water sycil
Explanation:
it will help your welcome
Which of the following is not a centripetal force? *
O Shared culture
O Nationalism
O Common language
O Mountain range that cuts across the country
Answer:
I think it's mountain range that cuts across the county
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.
Most of the worlds mixed economies are a combination of a _______ economy and a ______ economy.
A. Traditional... developing
B. Traditional... command
C. Market... traditional
D. Market... command
Answer: (C) Market..traditional
Explanation:
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.
Why might food supply in Lics (low income countries) be reduced as a result of climate change?
Answer:
Most of the time LIC's are self-employed (work in agriculture).
Explanation:
Therefor, people who live in LIC's mainly depend on the weather as most people who live in low income countries provide food, via farming. Climate change would cause a result of low food supply due to high levels of heat in the summer which could cause the crops to die due to lack of water; as dry soil conditions would cause reduction in the growth of crops, pasture and vegetation.
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 :)
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
Can someone please help me I will give you 30 point and marked as brainliest if you answer correctly please also no links please
Answer:
I think its "The socal prejudices that are shown against immigrants of Latino ancsstry."
which ocean keeps southeast asia and india soaked with monsoons for months on end
Answer:
Indian Ocean
Explanation:
which state’s capital is named after a city in france?
Answer:
Vermont.
Explanation:
Hope this helps :)
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
economic focus of the Okanagan Highlands region is on
A. Manufacturing and heavy machinery.
B. Mining, timber, and tourism.
C. Agriculture and oil drilling
D. tourism, shipping, and fishing.
Answer:
A or D I think..
Explanation:
Lmk what the answer is
in the past 3-5 years how have u seen the americans change
Protests in countries such as France and Belgium over the right of women to wear a burqa show
A.
the tension that can exist between folk and popular culture.
B.
an exception to the norms in how folk and popular cultures are integrated.
C.
the rapid spread of folk clothing into popular culture.
D.
the importance of governments regulating what people can wear.
E.
that folk and popular clothing are increasingly blending and becoming more similar.
i think its A this is my last question today so ill do a 45 never mind 41>;>
Answer:
B that's what I know bro thanks bye
Difference between cultural and natural attractions in tourism
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.
