Plzzzz help ASAP. What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27

Plzzzz Help ASAP. What Is An Equation Of The Line That Passes Through The Point (1,6) And Is Perpendicular

Answers

Answer 1

Answer:

   y = 3x + 3

Step-by-step explanation:

x + 3y = 27

     3y = -x + 27

      y = [tex]\frac{-1}{3}x +\frac{27}{3}[/tex]

      y = [tex]\frac{-1}{3}x + 9[/tex]

m₁ = -1/3

the slope of the line perpendicular to x + 3y = 27 is m₂ = -1/m₁

    m₂ = [tex]-1 * \frac{-3}{1}[/tex] = 3 ,  Point (1 , 6)

y - y1 = m (x -x1)

y -6 = 3(x - 1)

y - 6= 3x - 3

    y = 3x - 3 +6

   y = 3x + 3

Answer 2

Answer:

3x-y=27

Step-by-step explanation:

perpendicular is making a 90 degree angle, so it would need to be a slope of 3 if the other is -1/3.

y=9, x=27

3x-y=27 is the polar opposite, and should work, sorry if wrong. hard to do in my head without a graph to help.


Related Questions

Aiden checks out a 300-page book from the library. Before leaving the library, he reads 30 pages. The table shows the hours Aiden spends on reading the
rest of the book
Hours
0
270
1
225
2
180
3
135
6
0
Pages Left
90
45
At what rate does Aiden read the remaining pages of the book
45 pages per hour
30 pages per hour
70 pages per hour
25 pages per hour

Answers

Answer:

45 pages per hour

Step-by-step explanation:

have a great dayyyyy

Due in 6 minutes!!
don't comment if you don't know
find the eximated area of portion of the basketball court shown. Use 3.14 explain and show your work. ​

Answers

Answer:

228

Step-by-step explanation:

I NEED SOME HELP PLEASE!!!:)


Pamela received some gift cards for music and movie downloads for her birthday. Using one of them, she downloaded 4 songs and 1 movie, which cost a total of $16. Using another, she purchased 6 songs and 1 movie, which cost a total of $18. How much does each download cost?


Downloads cost $______for a song and $________for a movie.

Answers

Answer:

Downloaded music 1 EACH: $1

Movie 1 EACH: $12

Step-by-step explanation:

4 songs and 1 movie = $16

6 songs and 1 movie = $18

if we minus the two formulas we get:

2 songs = $2

Try it out on the formula, it will work.

$4 + x = $16

x = $12

$6 + $12 = $18

At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overtime.Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours

Answers

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = [tex]\$x[/tex]

[tex]40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}[/tex]

Let the number of overtime hours = [tex]y[/tex] hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

[tex]y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}[/tex]

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours

What is 3/4 divided 1/6?

Answers

Answer:

3/4 divided by 1/6 = 4.5

Step-by-step explanation:

Does this represent a function?

Answers

it’s not a function

Please help for 18 points I am stuck . Thank you.

Answers

I don’t really know but it’s either 3/8 or 5/8 aheheheh

HELP I REALLY NEED AN ANSWER WILL GIVE BRAINLIEST IF I CANNNNN

Answers

Answer:

62

Step-by-step explanation:

(WILL GET 25 POINTS) what is 1 + 1 =?

Answers

Answer:

2

Step-by-step explanation:

haha

Answer is 2

Thx for free points

Find the value of r so the line that passes through (-3,2) and (3,r) has a slope of -1/2
Please Help!!

Answers

Step-by-step explanation:

gradient = (y2 - y1)/(x2 - x1)

-1/2 = (r - 2)/(3 - (-3))

-1/2 = (r - 2)/6

-1/2(6) = r - 2

-3 = r - 2

-3 + 2 = r

hence r = -1.

Find the value of x. ། 23 129​

Answers

Answer:

45

Step-by-step explanation:

Hope this helped

a car travels 10 kilometers per hour faster than a truck .the car goes 600 kilometers in 5 hours less time than it takes thetruck to travel the same distance.find the rate of each vehicle in kilometers per hour​

Answers

Answer:

60 km/h

Step-by-step explanation:

Your welcome :)

PLEASE HELP IM ON A TEST
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The graph shows the distance, y, that car A traveled using x gallons of gasoline. The table shows the distance that car B traveled using x gallons of gasoline.



Based on the information in the table and graph, compare the miles per gallon of car A to car B. Show your work or explain your answer.

Answers

Answer:

Car A can travel 25 miles with 1 gallon of gas and car B can travel 20 miles with 1 gallon of gas

Step-by-step explanation:

Based on the graph, you know that car A can travel 50 miles with 2 gallons of gas.  To find how many miles it can travel with 1 gallon of gas, you need to divide the number of miles by the number of gallons of gas it uses to get the answer.  So you do 50/2=25.  That is how many miles it can travel with 1 gallon of gas.  Do the same thing with car B. 60/3=20.  So car B can travel 20 miles with 1 gallon of gas.  You know that car A can travel more because car A can travel 25 miles with 1 gallon of gas while car B can only travel 20 miles with 1 gallon of gas.  Car A can travel 5 more miles than car B with 1 gallon of gas.

Hope this helps. :-)  Please give brainliest

Answer:

ayyyy

Step-by-step explanation:

I will mark u as the brainliest I will mark u as the brainiest if u get this correct thx x

Answers

Answer:

260

Step-by-step explanation:

The formula is base times height

Answer:

260

Step-by-step explanation:

Base times height so 20 times 13 and it equals 260 hope i helped

A number of squares are connected in a row to form a rectangle. The
table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form. Select all the true statements
about this relation.

Answers

Answer:

✅The relation is a function

✅The graph of the function is linear

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]

Step-by-step explanation:

✅The relation is a function because each domain (number of squares) has exactly one range (perimeter).

✅The graph of the function is linear because the difference between any two successive y-values gives us the same value of 4.

That is: 12 - 8 = 16 - 12 = 20 - 16 = 4.

✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex], because if we substitute any pair of values (x, y) into the equation, the equation would be true.

For example, using the pair (1, 8), substitute x = 1, and y = 8 in [tex] y = 4x + 4 [/tex].

Thus:

[tex] 8 = 4(1) + 4 [/tex]

[tex] 8 = 8 [/tex] (True).

Which expression is equivalent to 5(w+4) when w=9?
O 5(9)
O 9(5)
O 5(9)+4
O 5(9) +20

Answers

Answer:

5(9)+20

Step-by-step explanation:

5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20.

Answer:

Option D

Step-by-step explanation:

This will seem weird but all you are is doing distrubitive property.

Replace w with nine and you have this.

Step 1 (Replace/Substitute)

5(9 + 4)

5(9) + 20

We distribute the five to the numbers in the parentheses. Or we multiply 5 to the other numbers within the parentheses.

Thus, D is your answer.

a jogger is running home. his distance from home, as a function of time, is modeled by y=-7+8.

Answers

Answer:

y=1

Step-by-step explanation:

PLEASE HELP ASAP.
A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?

Please look at the picture below for the answer choices.

Answers

Answer:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]Y = (-3,7)[/tex]

[tex]Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

[tex]Y' = Scale\ Factor * Y[/tex]

For, the x coordinates.

[tex]Y' = \frac{2}{3}x[/tex]

Where

[tex]x = -3[/tex]

[tex]Y' = \frac{2}{3} * -3[/tex]

[tex]Y' = \frac{-6}{3}[/tex]

[tex]Y = -2[/tex]

For the y coordinates:

[tex]Y' = \frac{2}{3}y[/tex]

Where

[tex]y = 7[/tex]

[tex]Y' = \frac{2}{3} * 7[/tex]

[tex]Y' = \frac{14}{3}[/tex]

[tex]Y' = 4\frac{2}{3}[/tex]

Hence:

[tex]Y' = (-2, 4\frac{2}{3})[/tex]

Help I would greatly appreciate it

Answers

download slader and type in your books code and it will give you all the answers to that book ;)

Answer:

my biggest tip would be use a percentage calculator

Two math students were asked to write an exponential growth equation that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y= 300 (1.02)x and Scott thinks that the answer is y= 300 (1.2)x Are either of them right and why?

Answers

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

What is the root of the equation 2x + 10 = f(x)?

Answers

Answer:

x=-5

Step-by-step explanation:

2x+10=0

2x=-10

x=-5

Your answer is
x = -5

The explanation is
2x + 10= 0
2x = -10
x= -5

Julie buys 19 identical calculators.
The total cost is £143.64
Work out the total cost of 31 of these calculators.

Answers

Answer:

£234.36

Step-by-step explanation:

I will give brainlest

Answers

Answer:

-360

Step-by-step explanation:

6(2)(-2)(-5)(-3) multiply the 6 & 2
12(-2)(-5)(-3) multiply the 12 & -2
-24(-5)(-3) multiply the -24 & -5
-120(-3) multiply together
360

*but if the 3 wasn’t a negative, then take away that negative and the answer would be -360*


What is an equation of the line that passes through the points (5, 2) and (-5, 6)?

Answers

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Lost-time accidents occur in a company at a mean rate of 0.3 per day. What is the probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3? Round your answer to four decimal places.

Answers

Answer:

0.7295

Step-by-step explanation:

Given that :

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 3?

n = 9

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

Probabilities are used to determine the chances of events.

The probability that accidents occur no more than 3 days in 9 days is 0.7296

The given parameters are:

[tex]p = 0.3[/tex] --- the probability that an accident occurs

The probability that an accident does not occur (q) is then calculated using the following complement rule

[tex]q= 1 - p[/tex]

[tex]q= 1 - 0.3[/tex]

[tex]q= 0.7[/tex]

The probability that accidents occur no more than 3 days in 9 days is

[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

Each probability is calculated using:

[tex]P = ^nC_rp^rq^{n-r}[/tex]

So, we have:

[tex]P(x \le 3) = ^9C_0(0.3)^0(0.7)^9 +^9C_1(0.3)^1(0.7)^8 + ^9C_2(0.3)^2(0.7)^7 + ^9C_3(0.3)^3(0.7)^6[/tex]

This gives

[tex]P(x \le 3) = 0.0403 + 0.1556 + 0.2668 + 0.2669[/tex]

[tex]P(x \le 3) = 0.7296[/tex]

Hence, the probability that accidents occur no more than 3 days in 9 days is 0.7296

Read more about probabilities at:

https://brainly.com/question/7965468

What is the y-intercept of y=4/3x+4

Answers

Answer:

4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

its 4 or -4

Step-by-step explanation:

I used  The Using the slope-intercept

solve by substitution
x - 2y = 10
1/2x - 2y = 4

Answers

Answer:

ypu can do this by using this please vote

Make a conjecture about the next item in the sequence 6, 18, 19, 57, 58

Answers

Answer:

Continuing from 58: 174, 175

Step-by-step explanation:

The pattern is multiply by 3, and add 1. 6 x 3 = 18, and 18 + 1 = 19. same pattern works for 19 times 3, and 57 times 1. 57 times 3 is 174, then add the 1 to get 175

I WILL GIVE AWAY 50 POINTS IF YOU GUYS ANSWER THIS RIGHT!!!
PLEASE HELP I NEED THIS RIGHT NOW!

Answers

Answer:

Player A, Player D, Player C, Player B

Step-by-step explanation:

Hope I'm Right :)

Answer:

PLayer B player D player C and Player A

Step-by-step explanation:

a force acts in a direction (4,2) moving an object along a straight path from (2,-4) to (10,1). How much work is done by the force?
A. 12 joules
B. 42 joules
C. 48 joules
D. 78 joules

Answers

Answer:

42 Joules

Step-by-step explanation:

Edge 2020

Work done by the force is 42 units which is correct option(C)

What is Work done?

The work done by a force in moving along a vector that is the product of their.

Let the the object move from P(2,-4) to Q(10,1)

Here, the position vectors

[tex]\vec{p}[/tex]  = [tex]2\vec {i}+(-4)\vec {j}[/tex], [tex]\vec{q}[/tex] =  [tex]10\vec i+\vec{j}[/tex]

Hence [tex]\vec{PQ}[/tex] =  [tex]\vec{q}[/tex] -[tex]\vec{p}[/tex] =   [tex]10\vec i+\vec{j}[/tex] -  [tex]2\vec {i}+(-4)\vec {j}[/tex],

  [tex]\vec{PQ}[/tex] =    [tex]8\vec i+5\vec{j}[/tex]

Force acts in a direction (4,2)

So [tex]\vec{F}[/tex] =    [tex]4\vec i+2\vec{j}[/tex]

∴ Work done =   [tex]\vec{F}.\vec{PQ}[/tex]  =   [tex](4\vec i+2\vec{j})[/tex] [tex].(8\vec i+5\vec{j})[/tex]

Work done = 32+10 =42 units

Hence work done by the force is 42 units

Learn more about Vector

https://brainly.com/question/13322477

#SPJ2

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