Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer 1

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.


Related Questions

Find the zeros of f(x) =x^3+2x^2-3x

Answers

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

What is the slope of the line that passes through (0,0) (3,4)?

Answers

Answer:

M = 4/3 - c/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

The slope formula is the difference in y over the difference in x, so 4-0/3-0.

Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?

Answers

Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:

3/8 of the homes have a red door how many homes have a red door​

Answers

Answer:

three out of the eight homes have red doors. so 3 homes have red doors

Step-by-step explanation:

A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?

Answers

Answer: 30

6 times larger than the width = that's 5×6=30.

Answer:

30 is the answer

vykdutdutdyrsyrssyru5i6ri6ty4ssyhrng


A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?

Answers

Answer

9 and 10

Step-by-step explanation:

One-third of a number t is equal to 7.
Write the word sentence as an equation then solve

Answers

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another
right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS SSS
SAS
HL

Answers

Answer:

the answer is hl

Step-by-step explanation:

its d

Answer:

the d

Step-by-step explanation:

HL

pls help ill give brainleist​

Answers

I think it’s C. Im not completely sure.

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol

Answers

the last one seems to be the best

Answer:

D

Step-by-step explanation:

what is 12/$0.89 because i need help like now. So please give me the right answer this time cause last time i failed because i asked brainly.

Answers

Answer:

$13.4 is the answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

12(x-6)and 14(x+14).

plz help

Answers

Answer:

138 and 210?

Step-by-step explanation:

Fill in the table using this function rule.
y=-3x + 5

Answers

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

hope it helps:)

what does the graph of f(x)=-2/3x+490 represent

Answers

Answer:

search that question up on brainly it got the answer bruu

Step-by-step explanation:

Express decimal as a fraction 8.25

Answers

Answer:

33/4

Step-by-step explanation:

James went to the store and bought a pair of shoes on sale for $40.00. This week they were a regular price of $64.50. What was the percent discount that he bought the shoes for?
I need work shown.

Answers

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

A class consists of 10 male students and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student?a. 10/30.
b. 10/40.
c. 1/10.
d. 1/40.

Answers

Answer:

a=10/30

Step-by-step explanation:

because you can simplify it to 2/15

where can I find about slopes in homework 5 unit 3

Answers

Answer:

idk

Step-by-step explanation: sorry im in unit 6 in science im working on rn

baiiii

The entrance for the amusement park is $40, visitors purchase additional $2
tickets for rides, games and food. How many tickets can you buy if you
brought $100 to spend at the park?

Answers

Answer:

2 tickets because round

Step-by-step explanation:

make an equation: 100=40x+2 and solve

2.45 tickets so only two

40+40 =80

100-80=20

but 100-2=98 so there is only 18$ left so not enough for another ticket

Answer:

30 Tickets

Step-by-step explanation:

In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.

Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).

So, the equation should be 40 + 2x = 100, which means x = 30.

100 - 40 = 60

60/2 = 30

30 tickets can be purchased

What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:

Answers

Answer:

11

Step-by-step explanation:

Equation: 8x - 12 = 76

Add 12 to both sides

8x = 88

Divide both sides by 8

x = 11

Hope this helped :)

Given (3x + 2) : (x - 2) = 7:5, what is the
value of x?​

Answers

Answer:

(3x+2)/(x-2)=7/5

5(3x+2)=7(x-2)

15x+10=7x-14

15x-7x=-14-10

8x=-24

X=-24/8

X=-3

What is the coefficient of a3 after simplifying this expression? 2a3−10ab2+3a3−ab2−7

Answers

Answer:

5

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unknown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.

Answers

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

Someone please help I’ve been spamming on this and no one has helped yet so please

Answers

Answer:

The value of x would 12.2.

Step-by-step explanation:

You have to use the pythagorean theorem to solve this.

a = 5.85 (11.7/2)

b = what we are trying to find

c = 13.5

[tex]\sqrt{13.5^{2} - 5.85^{2} }[/tex] = 12.1666 which rounds to 12.2

I hope this helps, I apologize if it isn't right.

Hiiii I really need helppppp pls pls

Answers

Step-by-step explanation:

sas

side angle side

mark me as brainliest

One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.

Answers

I think the answer is 4 + 3x = 16

What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?

Answers

Answer:

0.5

Step-by-step explanation:

Given that:

Irina measured the weight of her dog to be 13 pounds.

The greatest possible error that could have to occur will be the maximum error.

Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds

Then;

The greatest possible error that could have to occur = 13.0 - 12.5 pounds

The greatest possible error that could have to occur = 0.5 pounds

Answer:

0.5

Step-by-step explanation:

EDGE 2020 Unit Test

Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)

Answers

Answer:

8

Step-by-step explanation:

(-11/2x +3) -2(-11/4x -5/2)

(-11/2x +3) +22/4x +10/2

-11/2x +3 +11/2x +5

8

Solve for h: h + 4.18 = 19.74​

Answers

H= 15.56. Because 19.74 - 4.18 will equal 15.56

Helpppppp please due today ​

Answers

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

Other Questions
In several cultures in the americas, people built _____, which could be up to 100 feet high and held buildings of importance.A. tombsB. platform moundsC. pithouses D. huacas How many factors are in a B + CD + EF + GH Assuming that everybody is heterosexual unless proven otherwise is a consequence of:Compulsory hetersoxualityHomonormativityIntersectionalityNone of the above what is a science book Like 8 points Please help Please help me understand how to work out these types of equations?My teacher isn't doing a very good job at it right now. Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in New York City. How long was the train ride? Analyze how Galileo, Descartes, and Newton altered traditional interpretations of nature and challenged traditional sources of knowledge. why are some planets harder to see than others planets in the solar system How did the Massachusetts government act affect the colonists? Which phrase is the best definition of intertextuality?use of a technical language to describe an objectinformation that is found only on the interneta thematic connection between two textsworks of literature written for multiple audiences Find analytically the velocity of the object at the end point of the inclined plane for a certain angle write this equation in word form.x3 + 1 An object was dropped off the top of a building. The function f(x)=16x2+256f(x)=16x 2 +256 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.f(1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. f(1.5)=f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. f(6)=f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is . PLEASE HELPPPPP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!How is publishing on a blog different from publishing in an online magazine or journal?a.) Bloggers require that your writing be nearly perfect; magazines and journals don't.b.) Bloggers often expect you to answer comments about your post.c.) Bloggers are not as particular about what to publish as magazines and journals are.d.) Bloggers usually do not have any editorial guidelines, but magazines and journals do. For the Noah and Andres question: To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line? Sorry this is long A _______ shows data from many sources and contains a variety of symbols that demonstrate atmospheric conditions. A. weather radar B. weather balloon C. barometer D. weather map I need some major help!!!!!!Part II: Application and Critical Thinking (20 points)6. Many classical era civilizations are said to have had golden ages. Think about what makes an age golden. Now, look at the golden ages of Athens, India, and Han China. What did these golden ages have in common? How were they different? How did the golden ages of Athens and Han China come to an end? How might leaders of those civilizations have kept their golden ages from ending?Write a four-paragraph essay answering each of the questions. Be sure to clearly develop and organize your ideas and support your answer with evidence from the course. children's are the bright stars of the nation.justify For how long was Donaldsonville the state capital of Louisiana?O one year O five years O 10 years O 20 years