Find the slope of the line that is parallel and perpendicular to the given line.

y = 1/3x + 5

m ll =
⊥ =

Answers

Answer 1

Answer:

|| slope= 1/3

⊥ slope=-3

Step-by-step explanation:

The line is y=1/3x+5

Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)

That means that the || slope will be 1/3.

Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)

Which means to solve for the slope perpendicular, use this equation

1/3m=-1

multiply by 3 on both sides

m=-3

So that means the ⊥ slope will be -3.

hope this helps!

Answer 2

Answer:

[tex]\frac{1}{3}[/tex] and - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form

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

Parallel lines have equal slopes, thus

[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3


Related Questions

f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).

Answers

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

(f.g)(x) = 3x^2 - 3

f(x) = x + 2
g(x) = 3x^2 - 5

What is equation?

equation is the relationship between variable and represented as     is example of polynomial equation.

f(x) = x + 2
g(x) = 3x^2 - 5

now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3

Thus, (f.g)(x) = 3x^2 - 3

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

What is the range of the function f(x) = 1/2^x?

Answers

The range is all real numbers greater than or equal to 0.

2x - 3y = 6
7x - 3y = -9

System of equations please solve

Answers

You multiply two by 3 because what you do to one side you do to the other and then you distribute and use the same formula for the bottom equation

ANSWER QUICK PLEASE BEING TIMED

Which of the following describes the growth rate of the exponential function in the graph below?


For each x increase of 1, the y increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, the y increases by doubling and then adding 1.

Answers

Answer:

For each x increase of 1, the y increases by a common difference of 3.

Step-by-step explanation:

hope this helps ahhhhhhhhhhh

Answer:

difference

ratio

Step-by-step explanation:

please help 100 points

Answers

I could be wrong but if she spends $1 each day for chips. She would have 25¢ extra. And she buys 5 bags per week then she would have $1.25 per week. Add that into a graph to get a final answer.

Graph:
X| Y
1 | .25
2| .50
3| .75
4| 1.00
5| 1.25



Answer:

thx

Step-by-step explanation:

Find the sum of (8a + 2b - 4)

Answers

Answer:

There is really no answer to this because this is the furtherest you can go to simplify this expression. I can help solve it if you give me more information, or you tell me what the value of a and b is so I can solve it.

Thanks!

You can factor this, so here is it factored:
2(4a+b-2)

PLEASE HELP! BRAINLIEST IF CORRECT!
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes left in the game. If each half is 45 minutes long, how many minutes did Evelyn play?

A. the length of a half
B. the amount of time Evelyn played
C. the number of players on a team

Answers

The answer is A. The length of a half

Step-by-step explanation:

B she played 52 minutes long

C 11 players

A length if a half 15

If the circumference of a circle is 36π, what is the length of a radius of the circle?

A. 6
B. 18
C. 36
D. 72

Answers

Answer:

The answer is 6 (A)

Step-by-step explanation:

The exact answer is 5.73, but I think in the question they are rounding to the nearest whole number, so the rounded answer is 6.

My work:

C = 2πr

r = C

2π = 36

2·π = 5.72958

What is greater 80 over 100 or 8 over 10?

Answers

Answer:

they're equal

Step-by-step explanation:

Trick question. They're equal. 80/100 can be simplified to 8/10 by dividing by 10. if you type them both in a calculator, they both equal .80

mrs aleaze tells her stuents there will be 50 questions on their test and 20 percent of them will be word problems how much problems are on the test

sience 20% of 50 is equal to _ there will be_ word problems

Answers

The word problem only gives you two numbers, so it would be easy to assume that the questions involves those two numbers. However, in this case, the question requires that you calculate another answer first: the number of questions Abel got right. You'll need to subtract 4 from 80, then calculate the percentage of the difference:

80-4=78, and 78/80*100=97.5 percent So it will be 50

The answers at the bottom are $17.67
$12.22
$15.19
$16.19 in case you can’t see it .

Answers

9514 1404 393

Answer:

  $15.19

Step-by-step explanation:

Medicare tax is 1.45%; state tax is 1.5%. Together, these are ...

  1.45% +1.5% = 2.95%

of Wallace's salary.

That amount is ...

  0.0295 · $515 = $15.19

Answer:

$15.19

Step-by-step explanation:

just cuz

BRAINLIEST TO RIGHT ANSWER! PLEASE HELP!

Answers

Answer:

y=2/3x-6

Step-by-step explanation:

Slope is 2/3

y-intercept is -6

5 3/8 x 2 1/2 Sorry, I’m in a test. :’

Answers

Answer:

13 7/16

answer is a mixed number form i dont know how you wanted it .

Answer:

13 7/16 or 13.4375

Step-by-step explanation:

Is this answer correct yes or no?

Answers

Yes, it is correct. Your so smart  :)

I hope you have a good day, Loves •v•

Answer:

Yes, that is correct.

The product of a number below - 7/10 is 2/10
what is the number?
-7/20
7/20
- 5/7
5/7

Answers

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

This question can be written algebraically as [tex]-\frac{7}{10} x=\frac{1}{2}[/tex]

And the image below shows step-by-step on how to solve it

Hope this helps! :)

Which measurement is the best estimate for the length of a clothespin?

9 cm
9 km
9 mm
9 m

Answers

in my opinion i think it’d be 9 cm

a girl paid 6.28 for 3/4 pound of shrimp. what was the unit price in dollars per pound?

Answers

Divide the amount spent by the weight:

6.28 / 3/4 = 8.37

Unit price is $8.37 per pound

What percentage is 26 out of 130?

Answers

Answer:

20%

Step-by-step explanation:

26/130 = .2

decimal to percentage, times the decimal by 100

.2 x 100 = 20%

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answers

Answer:

x=366 Y=330

Step-by-step explanation:

Answer:

x=366 Y=330

Step-by-step explanation:

Hope this helped have an amazing day!

What is the correct answer? Please hurry

Answers

Answer:

2.5m

Step-by-step explanation:

5/2 = 2.5

Select the correct answer.
Which expression is equivalent to 8V6?
O A. 14
OB.
748
O C. 196
OD. 384
Reset

Answers

Given:

Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex]  B.  [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".

To find:

The equivalent expression.

Solution:

We have,

[tex]8\sqrt{6}[/tex]

It can be written as

[tex]=(\sqrt{8})^2\sqrt{6}[/tex]

[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]

[tex]=\sqrt{8\cdot 8\cdot 6}[/tex]          [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]

[tex]=\sqrt{384}[/tex]

So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].

Therefore, the correct option is D.

To learn more, go to this website on public health C. Then answer the following question.
What are some issues that you consider to be related to public health? List them and explain your reasons.​

Answers

Answer:

Answers will vary but might address the following:

garbage disposal and recycling

sex education in schools

nutritious food supply in schools

Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).​

Answers

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

What percentage is 388 ??

Answers

Answer: 77.6%

Step-by-step explanation: By using the basic calculation of percentage strategy, it's 77.6%

Need help ASAP!!
Find the unknown side of the triangle below (round to the nearest tenth).

A.) 210.5 cm
B.) 5.4 cm
C.) 16 cm
D.) 20.5 cm

Answers

Answer:

the answer is D, 20.5cm

Step-by-step explanation:

x is hypotenuse

hypotenuse formula:

[tex]hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

let 15cm = a

let 14cm = b

[tex]x = \sqrt{15 {}^{2} + {14}^{2} } [/tex]

[tex]x = \sqrt{225 + 196} [/tex]

[tex]x = \sqrt{421} [/tex]

[tex]x = 20.5cm[/tex]

Solve for x !!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Solve these equations as a ordered pair
Y= 2x-3
Y= -x

Answers

Y=1x-3 that’s the answer

If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19

Answers

Answer:

19

Step-by-step explanation:

Plug 3 in for (x)

You'd have: 2(3)²+1

Solve. Do parentheses first so... 3²=9

You now have: 2(9)+1

Solve

18+1 = 19

What is the area of this figure?
EXPERTS CALLIND ALL EXPERTS!!! What is 1/4+b=3/4

Answers

Answer:

56

Step-by-step explanation:

78

A video game markup
Games galore super store buys the latest video game at a wholesale price of $30.00. The markup rate at games galore is 40%. you use your allowance to purchase the game at the store. How much will you pay,not including tax?
a. write an equation to find the price of the game at games galore super store. Explain your equation

Answers

Answer:Evaluate: 12y+9d if y = 5 and d = 7

Step-by-step explanation:

Evaluate: 12y+9d if y = 5 and d = 7

Answer:

espanol si amego kumasta

Step-by-step explanation:

Other Questions
Rewrite the expression in the form 5^n(5^-8) (5^-10) Identify the prepositional phrase in the following sentence.I saw Jessica at the grocery store yesterday.Select one:at the grocery storeyesterdayI saw Jessicathe grocery store Explain how insurance companies use statistics. Whoever answers gets brainlist! Which of the following best describes reflection? a. Reflection is when waves bend around an obstacle.b. Reflection is when waves bounce off a surface.c. Reflection is when waves bend. write an equation of the line with a slope of 2 and a y-intercept of 5 Why is this Not a correct way to format an MLA in-text citation, and how should it be properly Cited?A: The name and surname of the author must be included as John Thompson B: The surname of the author must be in parenthesis C: The year of publication is not necessary it should be Thompson D: The Page number is not necessary; it should be Thompson. Put the following numbers in order from least to greatest.1/4 1/8 1/2 how different are the duck leeches offsprings from their parents I am putting this question here with the answers already so don't worry about respond, this is for future students, the answers are sample answers from the website/book.1)la pelcula ____ / mala / la historia del cineLa pelcula Cobardes es la peor de la historia del cine.2)la comida ____ / sabrosa / todasLa comida mexicana es la ms sabrosa de todas.3)mi ____ / joven / mi familiaMi sobrino es el ms joven de mi familia.4)el libro ____ / interesante / bibliotecaEl libro El Quijote es el ms interesante de la biblioteca.5) las vacaciones de ____ / buenas / aoLas vacaciones de verano son las mejores del ao. HELP PLEASEEEE!!!!!!!!!!!!!!!!! Which of the binomials below is a factor of this trinomial?4x + 12x + 9 Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane? Hint: Distance equals rate times time. (d = r t) Find what x equals please The people of the Indus River valley were the first to grow and useWheatgrapesCotton I need help its due in 20 min:( What is the solution set to this inequality??x^2-12x+35 What is the slope of the linear function y=5/2x-4is it 5/2-5/2-44 How many moles of helium gas are present in 120 liters of STP social awareness is the art of