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

The solution of absolute value equation I x - 4 | =6 is...

Answers

Can I get brainliest ?

What is the approximate area of the circle shown below?
A. 94 cm2
B. 11,310 cm2
C. 2827 cm2
D. 188 cm2

Please help

Answers

Answer:

Step-by-step explanation:

we have the diameter =60 cm, the radius is 60/2=30 cm

A circle is 3.14*r^2=2827 cm^2

Answer: C. 2827 cm2

Step-by-step explanation:

The area of a circle is calculated by pir^2; r = the radius

In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.

Plug these values into the formula

A = 3.14*30^2

A = 2827.43, which would round to 2827 cm2

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?

Answers

Answer:

laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.

Answers

Answer:

40 people

Step-by-step explanation:

simply divide 1/8 from 5 which is 40

5/ 1/8 = 40

What’s -3 divided by 6?...

Answers

Answer:

-0.5

Step-by-step explanation:

3/6 is 0.5, so -3/6 would be -0.5.

Answer:

-0.5 or -1/2

Step-by-step explanation:

Identify all values in the five number summary and create a box plot for the data set below.

You can upload your 5 number summary and box plot in the last question or provide a link to your work in the text box.



14, 13, 16,16, 18, 20, 22, 19, 23, 24, 24, 26, 27, 28, 30, 32

Answers

Answer:

12345

Step-by-step explanation:

give me a brainliest plees

Answer:

you can create your box plot from the following answers

a) minimum = 13

b) first quartile = 17

c) median = 22.5

d) third quartile = 26.5

e) maximum = 32

e) interquartile range = 26.5 - 17 = 9.5

Step-by-step explanation:

minimum and maximum values are self-explanatory

first quartile is derived by getting the median of the lower half of data (the median will divide the data into the lower half and the upper half)

third quartile is derived by getting the median of the upper half of data

the median is sometimes referred to as the second quartile

box plots are all about quartiles so that you can see where 25% of the data reside, or 50% or 75%, etc

What is the answer to this smart people answer this show work pls who knows this already

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

If x - 5 = 2, then find the
value of 6x - 20?

Answers

Answer:

22

Step-by-step explanation:

[tex]x-5=2\qquad|\text{add 5 to both sides}\\\\x-5+5=2+5\\\\x=7\\\\\text{Substitute to}\ 6x-20:\\\\6\cdot7-20=42-20=22[/tex]

Which is a qualitative graph?

Answers

Step-by-step explanation:

Qualitative graphs are graphs that are used to represent situations that do not necessarily have numerical values. Qualitative graphs represent the essential elements of a situation in a graphical form. For example, Graph A could represent a car that is accelerating at a constant rate.

The numerical information from the definitive quantified variables research is given and represented utilizing quantitative graphs.Qualitative drawings were graphics that are used for circumstances without any numeric value.In graphical form, quality graphs are indeed the primary components of the scenario.Each frequency of attributes and qualities of a data set instance should be known.This analysis allows the researcher or analysts to obtain more massive data sets with the integral feature.

Therefore, the "Second graph" is the qualitative graph.

Learn more:

brainly.com/question/17146063

how do i do this- my brain has ✨evaporated✨

Answers

Answer:

lol

Step-by-step explanation:

im not even sure try using google

Simplify (4x – 6) + (5x + 1).

Answers

Answer:

4x-6+5x+1

9x-5

Step-by-step explanation:

Answer:

9x-5

Step-by-step explanation:

like terms are added together, in this case, x

Plz help I will give your brainliest

Answers

Table goes from
X,y
2, 6
4,12
6, 18
8, 24
12, 30
After you’re going to plot the graph on 2x and 6y so basically (2,6) hope this helps

(Giving Brainlyst)
Awnser this with the letter and fraction listed
EX. H- 2/3
Thanks!

Answers

Answer:

C-7/8

R-8/9

P-61/66

L-11/18

I-3/4

A-7/12

O-47/55

H-29/40

S-28/33

T-4/5

M-11/12

E-71/84

U-13/42

N-19/20

I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️

Step-by-step explanation:

Answer:

I-9/12 or 3/4

T- 8/10 or 4/5

C- 7/8

A- 7/12

M- 11/12

R- 7/9

O- 36/55

E- 71/84

P- 61/66

H- 29/40

U- 13/42

L- 11/18

S- 28/33

N- 19/20

Step-by-step explanation:

if any are wrong, just lmk and i'll see what I did. But, i'm pretty sure they're right

1) Slope =-1, y-intercept = 0
3.
1
A) y =
B) y=-1
4
4
ID) -
1
C) y = -x
D) y = -x +
4

Answers

Answer:

1. C       2.D       3.D        4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

Find the midpoint of segment PQ.

Answers

Answer:

[tex](2,0)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Find endpoints from graph.

Point P (-4, 6)

Point Q (8, -6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint .

Substitute [MF]:                    [tex](\frac{-4+8}{2},\frac{6-6}{2})[/tex]Add/Subtract:                       [tex](\frac{4}{2},\frac{0}{2})[/tex]Divide:                                  [tex](2,0)[/tex]

The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages​

Answers

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Use the quadratic model y = −4x2 − 3x + 4 to predict y if x equals 5.

Answers

Answer:

-111

Step-by-step explanation:

substitute 5 in place of each x

    -4(5)^2 - 3(5) + 4

then evaluate or type it into your calculator

    -100 - 15 + 4

Answer:

It is -111

Step-by-step explanation:

Hope this helped have an amazing day!

the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution​

Answers

Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

[tex]x-y = 7[/tex]

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

[tex]x-1 = 7\\x = 8[/tex]

Putting y = 3 in the equation

[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollar sand cents?​

Answers

Answer:

$8.96

Step-by-step explanation:

Sorry if its to late

PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?

Answers

Answer:

because its out of 100

Step-by-step explanation:

cause it could be something else

ASAP HELP NOW FOR BRAINLIEST

Answers

Answer: 18 miles per hour

Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.

what is a term called that has no variable? constant or coefficient

Answers

Answer: It is constant

Answer:

Constant.

Step-by-step explanation:

Constants are any number that does not have a variable such as x or y, so if they do not have variables, there definitely would not have coefficients. Examples of constants are 2, 5 and 67.

Coefficients are like the 2 in 2x, the 5 in 5y and the 67 in 67xy. All of these numbers have a variable.

The Smith family took out a $160,000 loan. After 30 years they had paid a total of 364000. What is the interest rate on the loan? Can someone pls answer this in an hour using the equation Interest= principal x rate x time.

Answers

Answer:

The interest rate is 0.0425%

Step-by-step explanation:

Mathematically;

I = PRT/100

From the question, I in this context is the difference between how much they have paid and the amount borrowed

Mathematically, this is ; 364,000-160,000 = 204,000

This is the interest

R is the rate = ?

T = 30 years

P is the amount borrowed = 160,000

thus, we have

204,000 = (160,000 * R * 30)/100

2040 = 4800000R

R = 2040/4800000

R = 0.000425 which is 0.0425%

Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)​

Answers

9514 1404 393

Answer:

  (vii)  25/4

  (ix)  -61/6

Step-by-step explanation:

(vii) Once again, we remind you that for ax²+bx+c=0, ...

  α+β = -b/a = -(-7/2) = 7/2 = 3.5

  αβ = c/a = -3/2 = -1.5

Then the desired expression is ...

  α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))

  = ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)

  = (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4

__

(ix) α/β +β/α = (α²+β²)/(αβ)

  = ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6

Can anyone help me with this

Answers

Answer:

Yes I can help you :)

Step-by-step explanation:

start fraction 5.2 over 3.5 end fraction equals start fraction y over 7.5 end fraction
A. 7.25
B. 11.14
C. 5.05
D. 2.43

Answers

Answer:

A

jk its D hope this helps

Consider the equation: 6x + 55 = x 2 power
1. Rewrite the equation by completing the square. Your equation should look like (x + c)² = dor (2-c)2 = d. 1. 2) What are the solutions to the equation? Choose 1 answer:
A. x=-3+_8
B. x=3+_8
C. x=-8+_3
D. x= 8+_3​

Answers

Answer:

a

Step-by-step explanation:

Answer:

Im pretty sure its d its defenantly NOT A

Step-by-step explanation:

I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?

Answers

Answer:

well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.

Solve for N!! Please

Answers

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]

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