What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?

Answers

Answer 1

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

[tex]y=\frac{1}{6}x-3[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the  slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 1/6 and the point (6, -2)

[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]

[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]

[tex]y=\frac{1}{6}x-3[/tex]

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

[tex]y=\frac{1}{6}x-3[/tex]

Related Questions

18/6 as a whole number?

Answers

The answer is 3

Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3

Answer:

its 3

Step-by-step explanation:

which translation is demonstrated in the figure

Answers

Translation is made “4 to the right and 4 down”

help please with number 2 help please thank you

Answers

Answer:

He will save $300

Hope this helps

Factor by grouping

2xy + 4x + 3y + 6

Answers

Answer:

15xy

Step-by-step explanation:

This is past due I need help will give brainlist

Answers

Answer:

A

Step-by-step explanation:

Your answer is A hope this helps! Have a great day!

Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:Y=2x-6

Step-by-step explanation:

-70+45+x=100
I need this right away!

Answers

Answer:

x=125

Step-by-step explanation:

Combine like terms on left side firs/ this use the addition dist property
-35+x=100
-35+x+35=100+35
X=135

Proportional graphs can be straight or curved. .
O True
O False

Answers

awnser is False- Curved

Find the value of x in the parallelogram below.

Answers

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

which expression represnts the product of 2xy and 3xy+5y-xy^2

Answers

Answer:

You distribute the 2xy and get

2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)

CMON HELP ME PLEASE IM SUPER DESPREATE I CANNOT FAIL HADAOSJDPOKD0NA UABAUDB

Answers

Answer: C. (5)

Step-by-step explanation:

Answer:

Pretty sure it's C!

I also hope you don't fail

Step-by-step explanation:

The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?

$2250

$5000

$7500

$3250

Answers

the answer is $5000.

F(x)=(x-2)(x-6) Find the x-intercepts

Answers

The x intercepts would be (-2, 0) and (6,0)

find the common difference of the following arithmetic sentence​

Answers

Answer:

-1/4

Step-by-step explanation:

-1/2+1/4=-1/4-1/4+1/4=00+1/4=1/41/4+1/4=1/2

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

WILL GIVE BRAINLIEST ANSWER!

You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?

Answers

25^2+10^2=c^2
625+100=c2
725=c^2
29.9258..=c
so about 30ft

Who know the answer to this

Answers

B bbbbbbbbbbbbbbbbbb

A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project

Answers

Answer:

The expected completion time of the project is:

10 days.

Step-by-step explanation:

Duration of Task A = 5 days

Task B and C depend on Task A

This implies that Task A must be completed before Task B and C can be started.

To complete Task B will take 5 days

To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)

Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B &C are mutually dependent

What is the expected completion time of a task?

Expected completion time of a task= p1x1 + p2x2

Where

p1 & p2 are probabilities.

x1 and x2 are samples.

p1=p2=0.5

x1=7

x2=3

Expected completion time of task C= 0.5*7+0.5*3 = 5 days

Task B and C will be due till task A is not accomplished.

Total time to accomplish task A = 5 days

Total time  to accomplish task B= 5 days

Expected time to accomplish task C = 5 days

If tasks B and C are mutually independent

expected time to complete the project = 5+5=10days

If task C depends on task B

Expected time to complete the project = 5+5+5 = 15 days.

Therefore

The expected completion time of the project is

(i)10 days if B&C are mutually independent

(ii)15 days if B and C are mutually dependent

To get more about probability visit to:

https://brainly.com/question/24756209

Find the range of the function y=1/2x+3

When the domain is -2,0,2,4

Answers

1) y=1/2(-2)+3= 2
Y=1/2(0)+3=3
Y=1/2(2)+3=4
Y=1/2(4)+3=5

Negative ten is no less than two times a number plus fourteen
can you please solve it

Answers

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

The dosage of a certain medication is 1/4 ounce for every 50 pounds of body weight. How many ounces of this medication are required for a person who weighs 175 pounds. Write your answer as a decimal.

Answers

Step-by-step explanation:

175÷50=3.5

3.5×1/4=0.875

please help asap!!!!

Answers

Answer:

A reflection across the line x = -1

Step-by-step explanation:

A reflection along the line x = -1 carries the trapezoid onto itself.

X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is

Answers

Answer:

P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Step-by-step explanation:

Mean = 63

Standard Deviation =6

We need to find probability that X lies between 45 and 81 i.e P(45<X<81)

First we will find z-score for X=45 and X=81

For X=45 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]

For X=45, z-score is -3

For X=81 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]

For X=81, z-score is 3

Now finding the probability of P(-3<z<3)

It can be solved as:

P(-3<z<3)=P(z<3)-P(z<-3)

Looking at the z-score table to find

P(z<3)= 0.9987

P(z<-3)=0.0013

So, P(-3<z<3)=P(z<3)-P(z<-3)

P(-3<z<3)=0.9987 - 0.0013

P(-3<z<3)=0.9974

or P(-3<z<3)= 99.74%

So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

help me please i need help

Answers

Answer: yes they are equivalent

Step-by-step explanation: When you distribute both equations, you end up with 5m-10.

7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"

A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive ​

Answers

Answer:

C

Step-by-step explanation:

C

C is thy answer I just took the quiz

complete the last four terms by dragging the missing value to correct locations in the expression​

Answers

Answer:

Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]

Step-by-step explanation:

plz help thank you thank you

Answers

Answer:

B

Only one that goes over once and up twice

Answer:

b is the answer I believe

What is the answer to -12 = 4(f-6)

Answers

Answer:

Step-by-step explanation:

-12 = 4(-6 + f)

-12 = (-6 * 4 + f * 4)

-12 = (-24 + 4f)

-12 = -24 + 4f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-4f' to each side of the equation.

-12 + -4f = -24 + 4f + -4f

Combine like terms: 4f + -4f = 0

-12 + -4f = -24 + 0

-12 + -4f = -24

Add '12' to each side of the equation.

-12 + 12 + -4f = -24 + 12

Combine like terms: -12 + 12 = 0

0 + -4f = -24 + 12

-4f = -24 + 12

Combine like terms: -24 + 12 = -12

-4f = -12

Divide each side by '-4'.

f = 3

Simplifying

f = 3

Hope helps you

please help me will mark brainliest

Answers

The answer is 5.6 I hope this helps

Order from least to greatest
11. 357
2. 1.02
13. .80
4. .002
15. .05
16. .40

Answers

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

I GIVE BRAINLILSET
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Answers

Answer:

647$ USD

Step-by-step explanation:

You add 4% of each sale to eachother and to the 375. goodluck!

Answer:

7171

Step-by-step explanation:

i added it all up and thats what i got hope this helps and if right can i have brainlyest.

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