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 :)
CAN SOMEONE PLEASE HELP I WILL GIVE 30 POINTS AND MARK BRAINLIEST IF THE ANSWER IS CORRECT ASLO NO LINKS PLEASE
Answer:
true
Explanation:
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
Imagine that you are an ecologist who must determine whether an entire
biome is being threatened by human activity. What might you look for in an
indicator species?
A. Will likely be affected first if any part of the ecosystems are
degraded
B. The species carved on rocks and other ancient bearers of art
C. A species of economic importance
D. The most well-known species, which is likely to be depicted on
money and postcards
Answer: A
Explanation: An indicator species is a species that will affect its environment greatly in its absense or its apearence. So this means it will most probably be affected first. The only other logical answer would be C but we are trying to save it from humans and animals dont need money.
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
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:
Tại sao ôn đới có 4 mùa rõ rệt
Abe English me nhi likh sakta kya
Answer:
1.
- Thiên nhiên đới ôn hoà thay đổi theo bốn mùa : xuân, hạ, thu, đông. Môi trường đới ôn hoà cũng thay đổi từ vùng này sang vùng khác tuỳ thuộc vào vĩ độ, vào ảnh hưởng của dòng biển và gió Tây ôn đới.
-Bờ Tây lục địa chịu ảnh hưởng của dòng biển nóng và gió Tây ôn đới nên có trường ôn đới hải dương : ẩm ướt quanh năm, mùa hạ mát mẻ, mùa đông không lạnh lắm. Càng vào sâu trong đất liền, tính chất lục địa càng rõ nét : lượng mưa giảm dần, mùa đông lạnh và tuyết rơi nhiều, mùa hạ nóng.
2.
- Vì đới nóng nằm giữa 2 đường đẳng nhiệt năm +20oC của 2 bán cầu (khoảng giữa hai vĩ tuyến 30oB và 30oN).
Explanation:
which state’s capital is named after a city in france?
Answer:
Vermont.
Explanation:
Hope this helps :)
What Health challenges do Afghans face?
Answer:
Tuberculosis. Tuberculosis is endemic in Afghanistan, with over 76,000 cases reported per year. ...
HIV. The prevalence of HIV in Afghanistan is 0.04%. ...
Poliomyelitis. ...
Pneumonia. ...
Malnutrition. ...
Leprosy. ...
Typhoid fever. ...
Hepatitis A.
What are two ways that deforestation contributes to air pollution?
reducing amount of O2 and increasing amount of Co2 and increasing global warming
Explanation:
when there is deforestation means there is cutting down of trees that will cause Co2 in the air to be in high amount as There will be no trees to use it and hence when it goes to the air it cause the ozone layer to be damaged and thus leading to global warming
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:
???
Describe the geographical relationship of the Alps to the Italian peninsula.
Answer:
The Alps create a border between Italy and the rest of Europe.
Explanation:
Look at the picture below
Answer:
The sea surrounds Italy, and mountains crisscross the interior, dividing it into regions. The Alps cut across the top of the country and are streaked with long, thin glacial lakes. From the western end of the Alps, the Apennines mountains stretch south down the entire peninsula.
Explanation:
in the past 3-5 years how have u seen the americans change
nêu những mạnh nhặt và hạn chế nguồn lao động nước ta
which ocean keeps southeast asia and india soaked with monsoons for months on end
Answer:
Indian Ocean
Explanation:
How does ozone form from vehicle exhaust?
What are some reasons that certain foods, such as the lentil grown in Le Puy-en-Velay, France, are slow to diffuse into the dominant culture? Select the two correct responses.
A.
Certain foods, like the lentil, do not taste good to much of the population.
B.
Special foods, like those connected to a specific region, are protected by governments.
C.
It is cost prohibitive to ship specialty food to international destinations.
D.
The dominant culture lacks the desire or curiosity to integrate foreign foods into mainstream food culture.
E.
Spread of some foods is slowed or halted by unique geographic needs like soil or climate.
:p help meeeeeeee
Answer:
C and E
Explanation:
where can you find the nile river, the serengeti and the sahara desert?
Answer:
Blanketing much of the northern third of the African Continent, or some 3.5 million square miles, the Sahara Desert, the largest desert in the world, extends eastward from the Atlantic Ocean some 3,000 miles to the Nile River and the Red Sea, and southward from the Atlas Mountains of Morocco and the Mediterranean
hope it helps
Explanation:
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
list the methods of conversion of the sun
Answer:
Three ways of converting solar energy into other forms of energy: (a) producing chemical fuel via artificial photosynthesis, (b) generating electricity by exciting electrons in a solar cell, and (c) concentrating sunlight to produce heat
Explanation:
The wind band between the horse latitudes and the doldrums is called the ________ in the Southern Hemisphere.
Answer:
The wind band between the horse latitudes and the doldrums is called the southeast trade winds in the Southern Hemisphere.
Explanation:
if you found a rock with long, flat mineral grains, what type of rock would it probably be?
hey..
Sedimentary rock
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!
Czar Peter the greatest stressed the influence of _____ culture on Russia
Answer:
European
Explanation:
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.
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.
¿Cuáles son las causas de las migraciones del campo a la ciudad?
Answer:
Innnnn English pleaseeeeee
What Transport challenges do afghans face?
Answer:
Afghanistan is facing many challenges in regulatory & procedural framework in transit/trade activities such as Lack of modern and required laws & rules, shortage of skilled and professional staff, less awareness about transit, customs and trade issues, lack of transparency and weak law enforcement.
Answer:
The answer is in the picture above.I need help asapppp 30 points for the right answer
Answer:
It could be business
Explanation:
Well if you think about it, band won't help him with farming and i don't think history would either. Physics is basically physical science, so I don't think that's it either. I hope this helps. God bless!
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
