find an equation of the line which is perpendicular to the line y=-1/3x+6 and passes through the point (2,4)

Answers

Answer 1

Answer:

y = 3x

Step-by-step explanation:

Choose a point that the perpendicular line will pass through.

(

0

,

0

)

Combine  

1

3

and  

x

.

y

=

x

3

+

6

Use the slope-intercept form to find the slope.

Tap for fewer steps...

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Using the slope-intercept form, the slope is  

1

3

.

m

=

1

3

The equation of a perpendicular line to  

y

=

x

3

+

6

must have a slope that is the negative reciprocal of the original slope.

m

perpendicular

=

1

1

3

Simplify  

1

1

3

to find the slope of the perpendicular line.

Tap for fewer steps...

Multiply the numerator by the reciprocal of the denominator.

m

perpendicular

=

(

1

3

)

Multiply  

3

by  

1

.

m

perpendicular

=

1

3

Multiply  

1

by  

3

.

m

perpendicular

=

3

Find the equation of the perpendicular line using the point-slope formula.

Tap for fewer steps...

Using the point-slope form  

y

y

1

=

m

(

x

x

1

)

, plug in  

m

=

3

,  

x

1

=

0

, and  

y

1

=

0

.

y

+

0

=

3

(

x

+

0

)

Solve for  

y

.

Tap for fewer steps...

Add  

y

and  

0

.

y

=

3

(

x

+

0

)

Add  

x

and  

0

.

y

=

3

x

Answer 2

Hello!

y=-1/3x+6

Perpendicular lines have slopes that are opposite reciprocals.

This means that if we have a slope of -1/3, its opposite reciprocal would be 3

Use Point-Slope form:

y-y1=m(x-x1)

y-4=3(x-2)

y-4=3x-6

y=3x-6+4

y=3x-2

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia[/tex]


Related Questions

(WILL GIVE BRAINLIEST) A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96 meters long and 71 meters wide. What is the length of a training track running around the field? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

3.14*71+96+96=414.94 meter squared

Please help due today NO LINKS WILL REPORT!!

Answers

Answer:

{0,1,2,3}

because whole numbers always starts from zero...

how to solve 8x²·6n²

Answers

(24•3x2n2)
steps

(23x2 • 6) • n2

23 multiplied by 21 = 2(3 + 1) = 24

(24•3x2) • n2

Can someone pls help ne

Answers

Answer:

Your answer is [tex]\sqrt{157}[/tex] or 12.5299640...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\6^{2} +11^{2} = C^{2} \\C^{2} = 36+121\\C^{2} = 157\\C = \sqrt{157}[/tex]

Hope this helps!

>> Asnwer

_________

[tex] \: [/tex]

c² = 6² + 11²

c² = 36 + 121

c² = 157

c = √157

c = 12.5


3(x + y) = y
If (x, y) is a solution to the equation above and
y = 0, what is the ratio x/y?

Answers

Ofc just zero bestie

for what values of a, b and c is f(x)=ax square + bx + c a constant, a linear or a quadratic equation?​

Answers

Answer: F(x)=ax²+bx+c

If a=b=0 then F(X)= constant

If a=0 & b≠0 then F(X) is a linear function

If a≠0 then F (X) is a quadratic function

Step-by-step explanation:

Have a good day! No question

Answers

Answer:

Thanks and have a good day.

Victoria rides her bike at a constant rate of 1 3/8 miles every 1/4 hour. What is her speed in miles per hour?

Answers

Answer:

5 1/2 miles per 1 hr

Step-by-step explanation:

biked 1 3/8 miles in 1/ of an hour

1 3/8 miles = 11/8 miles in 1/4 of hour

11/8 miles   divided by 1/4 hr

11/8 ÷ 1/4

11/8 * 4/1 =44/8 = 5 4/8 miles in 1 hr or 5 1/2 miles per 1 hr

*PLEASE ANSWER!!! NEED HELP*
Rob needs to buy groceries. He has $200 in his checking account. He gets paid $550 tomorrow that will go into his checking account automatically. The total for groceries was $215. He can either use his debit card, or write a check. What form of payment should he use to avoid an overdraft charge?

A.) Debit Card because it comes out immediately.

B.) Write a check because it takes 2 days to clear and his pay check will be added in time for the money to come out.

C.) He should leave and be hungry for the day.

Answers

B

If he gets 550$ Tommorow he would have 750$ when the check gets used which would stop him from overdrafting

Expand and simplify (6e - 6)(4e + 8).
These are the answer options.
10e^2 - 14
24e^2 - 48
24e^2 + 24e - 48
24e^2 - 72e - 48

Answers

Answer:

[tex] 24 {e}^{2} + 24e - 48[/tex]

3rd answer is correct

Step-by-step explanation:

[tex](6e - 6)(4e + 8) \\ 6e(4e + 8) - 6(4e + 8) \\ 24 {e}^{2} + 48e - 24e - 48 \\ 24 {e}^{2} + 24e - 48[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

In a class of 22 students, 15 play an instrument and 11 play a sport. There are 9
students who play an instrument and also play a sport. What is the probability that
student chosen randomly from the class does not play an instrument?

Answers

Answer:7/22

Sorry I don’t know how to explain.But here the answer.

Hope this helped!

Have a great day!

The probability that a student chosen randomly from the class does not play an instrument is, 6/22.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given, n(U) = 22, n(I) = 15, n(S) = 11 and n(I∩S) = 9.

We know, n(IUS) = n(I) + n(S) - n(I∩S).

n(IUS) = 15 + 11 - 9.

n(IUS) = 17.

So, The number of people does not play an instrument is

n(S - I) = n(S) - n(S∩I) = 15 - 9 = 6.

Therefore, The probability that a student is chosen randomly from the class does not play an instrument is,

= 6/22.

learn more about sets and Venn diagrams here :

https://brainly.com/question/28318748

#SPJ2

[tex]\huge\bold\red{{HELP}}[/tex]
Please answer it with solution​

Answers

Answer:

x = - 2 2/3

y =  - 4 1/3

Step-by-step explanation:

-4x -2y = - 2

4x +8y = -24

Now if you just add those 2 equations, what will happen is that the xs will cancel. They are equal but opposite in sign

6y = - 26              Now divide by 6

6y/6 = -26/6        Combine

y = - 4 2/6 = - 4 2/6

y = - 4 1/3

Now use the top equation to find x

-4x - 2(-4 1/3) = - 2

-4x +  8 2/3 = - 2                     Subtract 8 2/3 from both sides

- 4x = - 2 - 8 2/3                     Combine

- 4x = - 10 2/3                         Divide by - 4

x = - 10 2/3 / - 4

x = - 2 2/3          

9514 1404 393

Answer:

  (x, y) = (8/3, -13/3)

Step-by-step explanation:

The x-coefficients are opposites, so the x-terms can be eliminated simply by adding the equations.

  (-4x -2y) +(4x +8y) = (-2) +(-24)

  6y = -26

  y = -26/6 = -13/3

Substituting into the first equation gives ...

  -4x -2(-13/3) = -2

  2x -13/3 = 1 . . . . . . . . divide by -2

  2x = 16/3 . . . . . . . . . add 13/3

  x = 8/3

The solution is (x, y) = (8/3, -13/3).

Which line is parallel to a line that has a slope of -5
and a y-intercept at (0-2)?

Line AC (Blue)
Line GH (Pink)
Line DF (Red)
Line IJ (Green)

Answers

Answer:

Line IJ

Step-by-step explanation:

* Required
Kadeem and Quinn both drive 25 miles. Kadeem drives at a constant speed 1 point
of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour.
Who takes longer to drive the 25 miles? *

Answers

Answer:

it will take Kadeem longer because he is going slower than Quinn. it will take Kadeem 30 minutes, and take Quinn 25 minutes.

Step-by-step explanation:

Answer: Kadeem takes longer because in one hour he has only went 50 miles while Quinn has went 75 miles. Therefore, Kadeem goes slower.

you go to Frontier City with your parents, brother and sister. The cost for adults is $12.50, and the cost for children is $8.00. Write an expression of the cost for the adults. Write an expression for the cost for the children. Now write an expression of the total cost for adults and children. Evaluate your expression using order of operations.

Answers

9514 1404 393

Answer:

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

  $49.00

Step-by-step explanation:

Assuming I, my brother, and my sister qualify for children's tickets, we have ...

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

Evaluation:

  $25.00 +24.00 = $49.00 . . . . . . . multiplication is performed first

In the equation cd = -56, find the value of d if c = 4.​

Answers

Answer:

-14

Step-by-step explanation:

CD= -56

C=4

D= CD/C

= -56/4

= -14

Hello there!

cd=-56.

We are given that

c=4

We can plug it into the equation instead of c:

4d=-56

Now we must divide both sides by 4 in order to isolate d:

d=-14

Remember that whatever we do to one side, we do to the other.

Hope it helps! :)

[tex]GraceRosalia[/tex]

Ill give godliest if you answer, and please show your work

Answers

Answer:

B

Step-by-step explanation:

because the image is like a parallelogram. Believes in me.

Answer:

Figure A has an area of 8 units.

Figure B has an area of 10 units.

Figure C has an area of 8 units. (I think)

Step-by-step explanation:

Uhh maths...

Hope this Helps!

what are the coordinates of the x intercept of the graph with the rule y = 6x - 90

Answers

Answer: (15 , 0)

Step-by-step explanation:

find x-intercept

give y = 0

0 = 6x - 90

90 = 6x

x = 15

coordinates of the x-intercept is (15 , 0)

please give me a brainliest answer

y = 3x ^ 2 . What is the equation of the other graph? Explain how you know.

Answers

my answer wonThe red graph is the function  

y

=

3

x

2

, the green is  

y

=

x

2

for comparative sake, and the blue graph is the parent function,  

y

=

x

2

.t go in right but i think the answer is

Find the product. Your answer should be in simplest form.

-7/9•3/5

The dot meaning times

Answers

Answer:

-7/15. So fourth choice.

Step-by-step explanation:

Answer:

-7/15

Step-by-step explanation:

-7/9×3/5=-21/45

simplified form:-7/15

how do you do subtraction

Answers

Answer:

taking away

Step-by-step explanation:

IM MARKING BRAINLEIST IF YOU ANSWER RIGHT GUYSS!!

Answers

Answer:

the slope is 2 because if your look at the points that the line crosses

Determine whether the pair of lines is​ parallel, perpendicular, or neither.
x−4y=−9
y=3x−7
Choose the correct answer below.
A.
More information is needed.
B.
The two lines are perpendicular.
C.
The two lines are neither parallel nor perpendicular.
D.
The two lines are parallel.

Answers

Answer:

b. the two lines are perpendicular

Step-by-step explanation:

carry on learning

How do you do this question?

Answers

Answer:

I don't really now if i'm correct but o think it is A

So we have x number of campers.

The amount of cookies to be equally distributed is 60 cookies.

Since 8 campers didn't want the cookies,

x² - 8x

Therefore the remaining campers got 2 more cookies. The word us more thus it's addition.

Then,

x² - 8x + 240 = 0

B is the correct option.

All the best!

please help me I'm practically begging u <3

Answers

Answer:

1 , 3 , 4

Step-by-step explanation:

1)

[tex] {8}^{7} \: . \: {8}^{ - 12} \\ = {8}^{7 + ( - 12)} \\ = {8}^{ - 5} \\ = \frac{1}{ {8}^{5} } \\

2)

[tex] \frac{ {7}^{4} }{ {7}^{ - 3} } \\ = {7}^{4 - ( - 3)} \\ = {7}^{4 + 3} \\ = {7}^{7} \\

3)

[tex] { (\frac{1}{3} )}^{2} . \: {( \frac{1}{3} )}^{9} \\ { (\frac{1}{3}) }^{2 + 9} \\ { (\frac{1}{3} )}^{11} \\ [/tex]

4)

[tex] \frac{ {( - 5)}^{6} }{ {( - 5)}^{10} } \\ = {( - 5)}^{6 - 10} \\ = {( - 5)}^{ - 4} \\ = \frac{1}{ {( - 5)}^{4} } \\ [/tex]

Directions: N, M, and O are midpoints. NM = 4 units, IN= 5 units and HG = 10 units

Answers

Answer:

78

Step-by-step explanation:

The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for x slices of pizza?

Answers

Answer:

13.75

Step-by-step explanation:

1.25x9=11.25

25-11.25=13.75

Nasser is following this recipe to make flapjacks.
Nasser uses 1.2 kg of margarine.
How many flapjacks is Nasser making?

Recipe: Makes 14 flapjacks
125 g sugar
150 g margarine
240 mL syrup
300 g oats
40 g sultanas

Answers

1.2kg = 1200g
1200 divide 75/7=112
He can make 1/2 flapjacks

a farmer owns a total of 10 acres of land. the land is separated into 3 3/4 equally sized sections. how many acres are in each section?

Answers

2.66
3 3/4 = 3.75
10/3.75 = 2.66

negative 3 minus positive 11

Answers

Answer:

-14

Step-by-step explanation:

=> - 3 - (+ 11)

=> - 3 - 11

=> - 14...ans

HOPE IT HELPS U!!!!

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