Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{3}[/tex]x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

________________

Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

________________

If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

y = - [tex]\frac{1}{3}[/tex]x + 4


Related Questions

Each week, the Pickering Trucking Company randomly selects one of its 30 employees to take a drug test. Write an application that determines which employee will be selected each week for the next 52 weeks. Use the Math.random() function explained in Appendix D to generate an employee number between 1 and 30; you use a statement similar to:

Answers

Answer:

In Java:

import java.util.Random;

public class Main{

public static void main(String args []){

  int Employee;

  for(int weeks = 1;weeks<=52;weeks++){

    Employee = 1 + (int)(Math.random() * 30);

    System.out.println("Week "+weeks+" selected employee: "+Employee);

  }

}

}

Step-by-step explanation:

This imports the Random package into the program

import java.util.Random;

public class Main{

public static void main(String args []){

Declare employee as integer (represents employee 1 to 30)

  int Employee;

Iterate from week 1 to 52

  for(int weeks = 1;weeks<=52;weeks++){

Randomly select an employee from 1 to 30 (inclusive)

    Employee = 1 + (int)(Math.random() * 30);

Print the selected employee

    System.out.println("Week "+weeks+" selected employee: "+Employee);

  }

}

}

Find the x-intercept of y = -x - 20

Answers

Answer:

(-20, 0)

Step-by-step explanation:

to find x intercept we have to substitute 0 into y and solve for x

0 = -x - 20

rewriting the equation

-x - 20= 0

-x = 20

Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.​

Answers

Answer:

2/3

Step-by-step explanation:

I think that's the answer.

Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans what fraction of the bag did Craig fill with beans

Answers

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Find the x- and y-intercepts of the graph of x + 3y = 33. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x intercept is (33,0)

y intercept is (0, 11)

Step-by-step explanation:

x-intercepts are found when y=0

x + 3(0)=33,,, x=33

y-intercepts are found when x=0

0 + 3y= 33,,, y=11

Help mark brainlist

Answers

Answer:

741.415866247

Step-by-step explanation:

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

iḿ pretty sure it´s A, 29.7 !!

Step-by-step explanation:

the age of three sibling leon,kelly,and jack are in the ratio 3: 5: 6:. the sum of their age is 42 years.how old is kelly?​

Answers

Kelly would be 32 years old

Six pounds of strawberries cost $11.94. Determine the unit rate and use it to find the price of eight pounds of strawberries.

Answers

Answer:

The unit rate is $1.99. The price of eight pounds of strawberry $15.92.

Step-by-step explanation:

To find the unit price, you divide $11.94 by 6 and you get $1.99. For eight pounds, multiply $1.99 with 8 and you get $15.92.

Answer:

$15.92

Step-by-step explanation:

First find the price of one pound. 11.94÷6=1.99 Once you find the price of 1 pound. You multiply the price of one pound 8 times. 1.99×8=15.92 Hope it helps!

What ions combine together to form
water in a neutralization reaction?

Answers

Answer: it's H^+ and OH^- ions

Step-by-step explanation:

Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?

Answers

Answer:

A

[2, -4, -6, -2]

Step-by-step explanation:

HELP!!! Name the space figure you can form from the net.

Answers

I believe it is a triangular prism

Find the measure of <5.
45 = [?]
69%
25

Answers

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

The National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2626 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.)

Answers

Answer:

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

Step-by-step explanation:

Step(i):-

Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015

and 2626 of them said they had tried to quit smoking during the past year

proportion

                            [tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]

                          Q = 1-P = 1 - 0.48548 = 0.5146

Step(ii):-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year      

[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]      

[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]

( 0.48548 - 0.0132 , 0.48548 +0.0132)

(0.47228 , 0.49868)

Final answer:-

95% of the confidence interval for the proportion of smokers who have tried to quit within the past year    

(0.47228 , 0.49868)

in a field
number of sheep : number of cows = 10:3
Zak says,
"There are 10 sheep in the field."
Give a reason why Zak could be wrong.

Answers

He can be wrong because the ratio is 10 to 3. They can be 30sheep and 9 cows

Workers at the Pythagorean Construction Company are building a new house. They need to make sure that proper right triangles are formed to ensure that a safe house is built. What statement should the builders use to ensure that right triangles are formed? If the sum of the two shorter sides equals the longest side, then the triangle is a right triangle. If the sum of the squares of the two longer sides equals the square of the shortest side, then the triangle is a right triangle. If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle. If the difference of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Answers

Answer: C.) If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Step-by-step explanation: i hope this helps! :)

The correct statement is (C)

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

So, Using the definition of Pythagoras theorem

the statement would be

If the sum of the squares of the two shorter sides equals the square of the longest side, then the triangle is a right triangle.

Learn more about pythagoras theorem here:

brainly.com/question/343682

#SPJ2

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

A rectangular prism with a square base has height 12 ft. The volume of the prism is 3468 cubic feet. Determine the side length of the base of the prism to the nearest foot?? what is the answer to this

Answers

Answer:

lo bueno de tener esta app

Solve m/8<4. Graph the solution.

Answers

m < 32

open circle to the left

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

18m < 4

Step 2: Multiply both sides by 8.

8 (1/8m) < (8)(4)

m < 32

In a rectangular prism, given a base area of 64 cm2 and a
height of 7.2 cm, what would be the volume of the
figure?

Answers

Answer:

46.8 cm^3

Step-by-step explanation:

Could I get some help here
I literally have the iq of a 2nd grader

Answers

Answer:

x = 16

Step-by-step explanation:

Supplementary angles = 180

K + L = 180

137 + 3x - 5 = 180

132 + 3x = 180

3x = 180 - 132

3x = 48

x = 48/3

x = 16

Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0

Answers

Answer:

The Identity Property of Zero, also called the Additive Identity Property, states that if you add 0 to any number, the result will be that number. Likewise, if you subtract 0 from any number, the result will be that number. Believe it or not, this works for all real numbers.

Step-by-step explanation:

hi can you please help me with my work​ please no Link please no Link

Answers

Answer:

Its D i did this before cause I do i-Ready to! <3


Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years.

Answers

Answer:

what is the question?

Step-by-step explanation:

Which is typically the only way to purchase a car and receive

a warranty? a. Dealership

b. Auction

c. Used Car lot d. Private Seller.

Answers

the answer is
a. Dealership

PLS HELP THIS IS DUE IN AN HOURRRR

Answers

Answer:

i dont know but i really hope you get it right good luck man

Step-by-step explanation:

Need help fast please

Answers

Answer:

1. 53 97 159

2 6 and 6.1

3. 1 1/3

Help for 20 points please

Answers

I think that the answers to this question is going to be B

Answer:

The Answer is 12 - 15= 129

Step-by-step explanation:

x2−15=129

Step 1: Add 15 to both sides.

x2−15+15=129+15

x2=144

Step 2: Take square root.

x=±√144

x=12

What is the area of rectangle PQRS?



A.
20.25 square inches
B.
21.375 square inches
C.
27.00 square inches
D.
42.75 square inches

Answers

Answer:

D

Step-by-step explanation:

(4.5+3+2) x4.5 = 42.75

hope this helps

Answer:

D. 42.75 square inches

Step-by-step explanation:

Area = height x width

Height = 4.5 inches

Width = 3 + 4.5 + 2 = 9.5 inches

4.5 x 9.5 = 42.75 square inches

Find the value of x that makes A || B.
1
2
B
4
3
5
L2 = 3x – 10 and Z3 = x + 30
x = [ ? ]

Answers

Answer:

x=20

Step-by-step explanation:

3x-10=x+30

2x-10=30

2x=40

x=20

Answer:

X=20

Step-by-step explanation:

So their alternate interior angle which is equal

3x-10=x+30

Solve and you would get 20

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