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

The Lambert family uses up a 1/2
gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

Step-by-step explanation:

Given

Lambert family uses up a 1/2

gallon jug of milk every 3 days.

rate drink milk per day

Solution =1/2÷3

= 1/6

So the answer is 1/6

A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?

Answers

Answer:

3years

Step-by-step explanation:

Answer:

It will take for about 6 six years for the election for both positions be taken

6 x +4 + 10x - 9 + 8x - 7=

Answers

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.

Answers

Answer:

52 miles per hour

Step-by-step explanation:

Given:

Distance driven = 364 miles

Total time taken = 7 hours

Required:

Average speed of Chad

SOLUTION:

Average speed is the number of miles covered per hour.

Thus:

Average speed = distance covered / time taken to cover the distance

Average speed = [tex] \frac{364}{7} = 52 mph [/tex].

Chad's average speed is 52 miles per hour.

The weight of eggs from a local farm are Normally distributed with mean of 2.1 ounces and a standard deviation of 0.25 ounces.

A graph titled Weight of Eggs has ounces on the x-axis going from 1.35 to 2.85 in increments of 0.25. The highest point of the curve is at 2.1. Everything to the left of that point and under the curve is labeled average, everything to the right is large.

An egg that weighs 2.0 ounces or more is labeled large and anything below is labeled average.

What percent of eggs from this farm are labeled as large? Round to the nearest tenth.

⇒ 65.5 IS THE ANSWER

Answers

Answer:

65.5

Step-by-step explanation:

Answer:

65.5

Step-by-step explanation:

Nutted now I’m shaking

Answers

Answer:

Um... Ok..

Step-by-step explanation:

...

Man same lol
Sheesh
Except imma girl


Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up a proportion to help you solve.

Answers

Answer:

70

Step-by-step explanation:

First, to find the constant rate divided 20 miles by 8 days.

20 ÷ 8 = 2.5

Then, we know that in one week there are seven days so we multiply 2.5 x 7

2.5 x 7 = 17.5

Lastly, multiply 17.5 times 4

17.5 x 4 = 70

MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!

for what natural values of n are the value of the following expression equal to a natural number: n+6/n

Answers

Answer:

n=1, n=2, n=3, n=6

Step-by-step explanation:

Natural #=1, 2, 3, ...

6 is the largest natural number possible here

1, 2, 3, 6 are factors of 6

n is equal to all factors of 6.

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?

Answers

Answer:

6%

Step-by-step explanation:

90 + 60 = 1507 + 2 = 9Set up a proportion: [tex]\frac{9}{150} = \frac{x}{100}[/tex]  Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6So, 6% of students in 6th grade were left-handed

I hope this helps!

Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u  use this method 6/90 multiply by 100 and u get 7.77%

Brandon currently runs the mile in 6.8 minutes.
If he can cut 10 seconds off of his , -mile rate, what will his new mile time be?

Answers

6 mins 38 seconds

.8 of 60 secs is 48 seconds so his time is 6 mins and 48 seconds, cutting off 10 seconds gives a new time of 6 mins 38 seconds

If f(x) = 2x^2 +1, complete the following:
a. f(-4)
b. f(-2)
c. f(0)
d. f(2)
e. f(4)

This is a timed test please i need help!!

Answers

Answer:

Sub the values in the brackets of each question into the equation

Step-by-step explanation:

eg. c. f(0) = 2(0)^2 + 1 = 1

List the transformations of the function
j(x) = 3(-7(x+2))-4

Answers

Answer:

transformations of function 3(-7(x+2))-4

vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axis

A survey is to be conducted using a random sample of citizens in a town,
asking them if they support raising taxes to increase funding for the public school. Write the question in a way that is likely to bias the results toward more yes answers. Write the question in a way that is likely to bias the results toward more
no answers.

Answers

Answer:

yes i do

Step-by-step explanation:

A survey that asks readers to return the survey would result in voluntary-response bias

What is voluntary response bias?

When the response to a survey by a reader is not influenced by the author or the questioner of the survey the response sent by the reader is going to be a voluntary response.

In a voluntary response, the response is void of external influence therefore the reader gives his/her honest opinion without the external/Questioner's bias

Allowing your sample to self-select skews your data and prevents you from getting accurate results that are representative of your entire population, which is what is meant by voluntary response bias.

Hence we can conclude that a survey that asks readers to return the survey would result in voluntary response bias.

learn more about voluntary response bias:

brainly.com/question/26430204

#SPJ2

increase 120 by 5% (answer)​

Answers

Answer:

what is question is this the question

Answer:

126

Step-by-step explanation:

[tex]\frac{5}{100}[/tex] × 120 = 6

120+6= 126

The entrance to an accessibility ramp is at ground level
The first section of the ramp covers a horizontal distance of 18 feet and rises to a
landing 1.5 feet above the ground
The second section of the ramp begins at the landing, it rises at a slope of t; and
covers another 9 feet of horizontal distance to reach the door
Second section
First section
Door
13 feet
ber
NOTE Sketch not drawn to scale
Answer the questions to compare the sections of the ramp
1. What is the slope of the ramp from the ground to the landing? Write your answer
as a fraction with a whole number numerator and denominator
Write your answer in the space below.

Answers

Answer:

250 feet

Step-by-step explanation:

Answer:

1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

2)slope is the change in height, the vertical change, divided by the change in horizontal distance

3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

4)slope = 1/18 = (1/2)/9  

5)the door is 2 feet higher than the ground level,  1.5 + .5 = 2 feet change vertically

Luke measured caterpillars for a science project. He believes that caterpillar A is longer than caterpillar B because it has more digits after the decimal point. Do you agree or disagree Luke's thinking. Explain your reasoning.

Caterpillar A=4.125 cm
Caterpillar B=4.03
Caterpillar C=4.23

Answers

Answer: disagree

Step-by-step explanation:

Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.

Answer:

Disagreed

Step-by-step explanation:

In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...

[tex]CA=4.125[/tex]

[tex]CB=4.03[/tex]

[tex]CC = 4.23[/tex]

Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0

Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.

[tex]4.125 > 4.03[/tex]

[tex]4.125 < 4.23[/tex]

Hope this helps.

I put D but I am not sure if that is the valid answer. Any help?

Answers

Answer: B) ASA

Explanation:

AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.

Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.

So far we have two pairs of congruent angles.

The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.

So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.

If it is 7:00 pm in New Mexico (NM), what time is it in Maryland (MD)?
United States
Pok
Morgan
Canon
Eastern
O 5:00 pm
O 8:00 pm
o 9:00 pm
O 6:00 pm

Answers

Eastern 9:00p.m
—————————

2x – 2 < -4 or 2x – 2 > 20

Answers

Answer:

2x – 2 < -4 or 2x – 2 > 20 equals

Step-by-step explanation:

x < − 1 or x > 11

I hope this helps ya

what is the perimeter of a rectangle

Answers

Answer:

p=2 (l+w)

Step-by-step explanation:

Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 students in the class. How many different combinations of three selected students can Professor Rodgers create? number of combinations of three students: _________If Professor Rodgers decides he needs four students in the focus group, how many combinations can he create? number of combinations of four students: _____________

Answers

Answer:

(A) 165

(B) 330

Step-by-step explanation:

Total number of students in the class = 11

(A) How many different combinations of 3 selected students can he create?

ⁿCₓ = n! ÷ [(n - x)! x!]

n = 11,  x = 3

11! / [8! 3!]  = 165

HINT:  8! or 8 factorial represents [8x7x6x5x4x3x2x1]

(B) How many different combinations of 4 selected students can he create?

ⁿCₓ = n! ÷ [(n - x)! x!]

n = 11,  x = 4

11! / [7! 4!]  = 330

Same hint applies here, for all numbers with the factorial sign.

what is 25+30 pleas help me

Answers

Your answer would be 55

Name a multiple of 13 that is between 30 and 100.

Answers

Answer:

39

Step-by-step explanation:

just did 13 plus 13 plus 13

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23


What is the value of 3-(-2)?

Answers

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-(-2) is equal to +2, so the equation is 3+2 which is 5

Simplify

4
x
+
2
y
+
z

3
x
+
2
y

2
z

Answers

Answer: -7x+4y-z would be the answer

Step-by-step explanation:



Please help me please

Answers

Answer:

the ham is the least expensive, the roast beef is most expensive

Step-by-step explanation:

hope this helps.

Help please? Write the equation for the Red line.

Answers

Y=3/2x+7 hope this helps

Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour. What is Sarah’s rate in miles per hour. Express your answer as a mixed number

Answers

Answer:no

Step-by-step explanation:

Answer:

17 [tex]\frac{1}{4}[/tex]

A train traveled at an average speed of 45 miles per hour for 40 minutes, and at an average speed of 60 miles per hour for 1 hour. What was the average speed of the train, in miles per hour, for the trip?
a.) 50, b.) 52.5, c.) 54, d.) 57,5, e.) 60

Answers

Answer:

c

Step-by-step explanation:

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