Please help me asap

The line passing through which two points is perpendicular to the line 10x + 2y = 2?

A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)

Answers

Answer 1

Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Perpendicular line

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

Perpendicular line in this case

In this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:

2y=2 - 10x

y= (-10x +2)÷ 2

y= -10/2x +2/2

y= -5x +1

The line has a slope of  -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:

-5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-5)

slope perpendicular line= 1/5

The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:

(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5

Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1


Related Questions

How many video games were sold in the year 2001

Answers

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?

Answers

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

A company has 24 employees. Each employee volunteers to bring 1 item to the local school fundraiser.

One-fourth of the employees bring pencils.
One-third of the employees bring paper.
The rest of the employees bring notebooks.
How many employees bring notebooks?

Answers

Answer:

6 employees bring pencils

8 employees brings paper

6+8=14

Company:24 employees- 14 employees who brong paper and pencils.=10 so 10 employees brings notebooks.

Step-by-step explanation:

Answer:

6 employees bring pencils

8 employees bring paper

10 employees bring notebooks

Step-by-step explanation:

1/4= 6

1/3= 8

the rest = 10

four spheres of radius 6cm fit into a cylinder with a height of 12cm. calculate the volume inside the cylinder that is empty. leave your answer in terms of pi.

Answers

Answer:

V = 432pi cm^3

Step-by-step explanation:

Pi x r^2 x h

Pi x 6^2 x 12 cm = 432 pi cm^3

-2z+3-z=□-4z+2
please give me the answer

Answers

Answer: z=-1

Step-by-step explanation:

[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

Proportions
Rectangular Prism
I'm decreasing the rectangular prism
H= 10
W=13.7
L: 16.6

scale: 1/4
ratios: 2:3

Answers

H=5/2
W=137/40
L=83/20
Hope this helps

Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.

Answers

Answer:

The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.

Step-by-step explanation:

The leading coefficient is the term with the highest degree in a polynomial.

For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.

The leading coefficient tells us whether the equation, when graphed, will rise or fall.

If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.

Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.

If the equation falls then it has a maximum point, if it rises then it has a minimum point.

Because the equation shown falls it will have a maximum point.

decrease £7720 by 20%

Answers

Answer: Percentage decrease = 20% × 7,720

New value = 7,720 - Percentage decreaseNew value =

7,720 - Percentage decrease =

7,720 - (20% × 7,720) =

7,720 - 20% × 7,720 =

(1 - 20%) × 7,720 =

(100% - 20%) × 7,720 =

80% × 7,720 =

80 ÷ 100 × 7,720 =

80 × 7,720 ÷ 100 =

617,600 ÷ 100 =

6,176

New value - 7,720 =

6,176 - 7,720 =

- 1,544

Step-by-step explanation:

Which equation demonstrates the additive identity property?
0 (7+4i)+(7-4i) = 14
O (7+4i)+ 1 = 7+4i
(7+4)(1) = 7+4)
O (7+4i)+(-7-4i)= 0

Answers

Answer:

A

Step-by-step explanation:

The Explication 0 (7+4i)+(7-4i) = 14

The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, If we add a real number to zero or add zero to a real number, then we get the same real number back.

Hence, The number zero is known as the identity element, or the additive identity.

For example: a + 0 = a

Hence, we can see that;

⇒ (7 + 4i) + 0 = 7 + 4i

Since, 0 is the additive identity here.

Thus, The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ7

(-9,6) and (-3,2) help pls

Answers

If u wanna know the slope then it’s -4/6

(-9,6) and (-3,2) help pls

Answer : -12.8

A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liter of pineapple juice into the jar. She then drank 0.20 liter of the mixture. Part A: Write an expression to represent the total amount of juice left in the jar. (5 points) Part B: Simplify the expression and identify which property is used in each step. (5 points)

Answers

Answer:

Part A: Total amount of juice left = 0.25 + 0.30 + 0.75 - 0.20

A larger kind of bacteria is about 0.00039 in. long. Write this length using
scientific notation

Answers

Answer:

3.9X10^-4

Step-by-step explanation:

The value is increasing so your exponent increases

Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answers

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

wus 9 + 10 equal please help wus 9 = 10

Answers

Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50

Answers

Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.

Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

50PTS PLZ HELP ME I'M STUCK​

Answers

Answer:

m∠O = 80°

Step-by-step explanation:

m∠O = 4x - 20

m∠Q = 3x + 5

m∠O and m∠Q are congruent

4x - 20 = 3x + 5

Solve for x = 25

Plug back in

m∠O = 4(25) - 20

m∠O = 100 - 20

m∠O = 80°

For a fundraiser, a school club is selling raffle tickets for $2 each and healthy snacks for $1.50 each. What is the total cost of y raffle tickets and x healthy snacks?

Answers

Answer:

1.5x+2y=total cost

Step-by-step explanation:

Charise's expenses for the month of July are outlined below.

Car insurance: $120.54
Cell phone bill: $55.99
Groceries: $65.00

Her monthly income is $1,050.00. What percentage of her income are expenses?

Answers

76.9971 or rounded 77%

You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is over speeding.

In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast - moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.

Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain. The result of your observation will be presented to the students in your section and will be graded by your teacher.

Answers

Step-by-step explanation:

3(100)2 + 17(100) - 20

3(10000) + 1700 - 20

30000 + 1700 - 20

31680

The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)

Answers

Step-by-step explanation:

the rate of change is the slope of the line y/x. it is always the factor of x in the equation.

it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.

we only need to look at 2 points.

to go from (0, 4) to (4, -3)

x changes by +4 (from 0 to 4),

y changes by -7 (from 4 to -3).

so the rate of change is -7/3

Solve by drawing an area model and then use the standard algorithm: 432 x 620

Answers

267,840 just multiply it simple ur welcome
trust me bro

Find the value of x that makes lines u and y parallel. ​

Answers

Answer:

x = 7

Step-by-step explanation:

If u // v, then

19x - 3 = 130   {Corresponding angles are congruent}

19x = 130 + 3

19x = 133

x = 133/19

x = 7

c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.

How would you write the equation?

Answers

(94.50 - 18.50) ÷ f = a

f=family members

a=answer

I don't know how many family members there are, but you would just replace f with the amount.

am i correct ?? for a brainly and pls explain

Answers

Answer:

Yes.

Step-by-step explanation:

Because

6*4 =24

and 4*0 = 0,

24+0=24

have a nice day!!!

independent practice write linear equations lesson 6

Answers

Answer:

1)y=2x+7

2) unsure what the question is due to blur

3)y=3/4x-2

4)y=-2x

Answer:

Step-by-step explanation:

1) (1,9) ; slope = 2

Point slope form:

y - y₁ = m(x - x₁)

y - 9 = 2(x - 1)

Slope intercept form:

y - 9 = 2x - 2

    y = 2x - 2 + 9

 y = 2x + 7

3) (-4 , -5)  ; slope = 3/5

Point slope form:

y - y₁ = m(x - x₁)

[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]

Slope intercept form:

[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]

Please help me! I will mark brainliest if correct! (Question is in the image shown)

Answers

2nd one the combining with y one

Round 0.41275 to the nearest thousandth

Answers

Answer:

0.41, 2 is lower than 5 so we round down

Answer:

0.41300

Step-by-step explanation:

0.41275.

0.4: tenths place. 0.01: hundredths place. ...

Now look at the next decimal place, which is 0.0007: the ten thousandths place . This number determines whether the thousandths place will be rounded up or down. ...

Therefore, 0.41275 rounded to the nearest thousandth is:

PLS HELPPP
FIND X
I will mark braniliest

Answers

Answer:

x = 11

Step-by-step explanation:

∠ EAB = ∠ AED = 4x ( alternate angles )

∠ AEB and ∠  GEB are adjacent angles on a straight line and sum to 180° , so

∠ AEB + 125° = 180° ( subtract 125° from both sides )

∠ AEB = 55°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBC is an exterior angle of the triangle , then

∠ EBC = ∠ AEB + ∠EAB , that is

9x = 55 + 4x ( subtract 4x from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

(Please Help) (50 Points) Write the equation for the transformations of the graph of y = x^2
Use the form: y = a (x-h)^2 +k

Translated 2 units left and 7 units down.

Answers

A is the scale or vertical stretch

H is what makes it move right or left.

K is what makes it move up or down.

a = 1

h = -2

k = -7

y = (1) (x-(-2))² + (-7)

y= (x + 2)² -7

(Also, you will learn b in the equation. The equation would be a(b(x-h))² + k. B would be about horizontal compression.)

a reasonable estimate for 621 times 29 is

Answers

Answer:

18,009

Step-by-step explanation:

18000 would be a reasonable estimate

Other Questions
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.Calculate the price per roll for each shop.Write which shop is the best value for money in the comment box. transivity, reflexivity, and identity refer to what kind of reasoning? Which wireless standard runs on both the 2.4 and 5 GHz frequencies? a lottery winner had to pay 30% of his winnings in taxes. how much did he win if he paid $75,000 in taxes? Is Enfield wealthy are? what would the answer be for:2 524.with full steps. How are mutation affects different? Which event in the late 1680s helped further define the doctrine of classical republicanism? Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5) please help me right now what is the summary for ending the slave trade in the slave trade Please help, its URGENT, no links, only the correct answer for this question! In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail. Please find a... I will mark you brainliest Can someone please help me solve this Which candle burned the longest time why Who is pictured in the image below?a.;b.Queen ElizabethPrincess ElizabethJane SeymourCatherine of AragonC.d. Hamid needs to find the height of a parallelogram. The base is 3 inches long and the area is 30 square inches. What is the height?Step 2 of 2: Finally, solve the problem by substituting in the appropriate values. (Round your answer to 2 decimal places if necessary.) Holly has 65 stamps in het collection. To expand the collection, she is planning to buy some books of stampsthat have 18 stamps each All of the books cost the same. Holly is not sure yet about the number ofbooks of stamps she wants to buy, bbut she has enough money to buy up to 5 of them. We a function todescribe how many stamps Holly can buy La x represents the number of books of stamps Holly buys. Find areasonable domain and range for the function. Milk, eggs, fish, meat, raw sprouts, cooked rice, cut tomatoes and cut melonsare required to be kept out of danger zone for food safety reasons.01. True2. False Sam has $20. She buys 6 bags of chips and has $2 left over. Write and solve an equation to determine the cost of one bag of chips. What causes streams to form?O absorptionO precipitationO glaciersO lakes