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

Answers

Answer 1

Step-by-step explanation:

to get the original slope, we need to bring the line equation to

y = ...

and the slope is the factor of x.

x + 3y = 27

3y = -x + 27

y = -1/3 x + 9

so, the original slope is -1/3.

the perpendicular slope turns this upside-down and flips the sign : 3/1 = 3.

as the slope is the ratio "y coordinate change / x coordinate change".

we can use the point-slope form for the new line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so,

y - 6 = 3(x - 1)

simplified that is

y - 6 = 3x - 3

y = 3x + 3

that is then the slope-intercept form (+3 being the interception point on the y-axis).

Answer 2

Answer:

y = 3x + 3

Step-by-step explanation:

The answer is simple and plain.


Related Questions

6.6.PS-11
Find the whole.,
155% of what number is 31?
155% of is 31.
(Type a whole number.)
plz help ASAP

Answers

Answer:

20

Step-by-step explanation:

31 ÷ 155% =

31 ÷ (155 ÷ 100) =

(100 × 31) ÷ 155 =

3,100 ÷ 155 =

20

pretty sure it’s 20! lmk if it’s right

when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative

Answers

To add two rational numbers with different signs, Find the difference of their absolute value. The use sign of the rational number with greater value

Probability of rolling a composite number on a dice and the coin landing on tails

Answer choices are 1/8, 2/3 and 5/6

This is 7th grade math btw

Answers

Answer:

5/6.

Step-by-step explanation:

The only composite numbers on a die are 4 and 6, so the probability of landing on them is 2/6 or 1/3. The probability of landing on tails on a coin is 1/2. Add them together (1/3 + 1/2) and you get the total probability of 5/6.

I hope this helps.

slope of y = 7x-100​

Answers

Answer:

The slope equals 7.

Step-by-step explanation:

Following the formula y = mx + b where:

m = slope

x = independent variable

b = y-intercept

our equation looks like:

y= 7x - 100

m = 7

x = x

b = -100

If slope = m and m = 7 then we can conclude that the slope = 7.

Is 8397 divisible by 9

Answers

Answer: yes

Step-by-step explanation:

If the sum of the digits is not divisible by 9, then 8397 is not divisible by 9. 27 is divisible by 9, Therefore, 8397 is divisible by 9 and the answer to the question, "Is 8397 Divisible By 9?" is Yes.

Answer:

Yes

Step-by-step explanation:

There are 15 male teachers in the school. There are 35 female teachers in the school. Fill in the table
to show the relationship between the female and male teachers.

Answers

Where is the table???

PLEASE HELP 50 POINTS AND BRAINLIEST FOR WHOEVER ANSWERS CORRECTLY!!! PLEASE HELP FAST!
1. Sharon and Geordi both worked hard over the summer. Together they earned a total of $525. Geordi earned $75 more than Sharon.
(a) Write a system of equations for the situation. Use s for the amount Sharon earned and g for the amount Geordi earned.
(b) Graph the equations of the system on the graph provided

Answers

Answer:

s + g = 575

g = 75 + s

g = 325

s = 250

Step-by-step explanation:

Given that :

Total amount earned by Sharon and Geordi = $525

Also, Geordi earned $75 more than Sharon

Let amount earned by Sharon = s

Amount earned by Geordi = g

Equations :

s + g = 575 - - - equation 1

g = 75 + s - - - equation 2

Put g = 75 + s in equation 1

s + 75 + s = 575

2s + 75 = 575

2s = 575 - 75

2s = 500

s = 250

g = 75 + s

g = 75 + 250

g = 325

10 bags of chips and 8 soda cans cost $15. 5 bags of chips and 5 soda cans cost $8. How much does a bag of chips cost? How much does a can of soda cost?

Answers

I just had the answer but then forgot

Answer:

One bag of chips costs $1.10

One can of soda costs $0.50

Step-by-step explanation:

1. Create a system of equations (b = bags of chips | s = soda)

10b + 8b = 15

5b + 5s = 8

2. Use the Elimination method by multiplying 5b+5s=8 by -2

10b + 8b = 15

-2(5b + 5s = 8)

=

10b + 8b = 15

- 10b - 10s = -16

(10b and -10b will cancel out, so you will only have s left)

=

-2s = -1

Divide by 2

Soda = 1/2, or $0.50

3. Plug in S (0.50) into an equation above and get B by itself

5b + 5(0.50) = 8

=

5b + 2.5 = 8

    - 2.5    -2.5

5b = 5.5

Bag of Chips = $1.10

A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?

A) no more than 50
B) no less than 50
C) no less than 45
D) no more than 45

Answers

Answer:

no more than 45

Step-by-step explanation:

3k-300 leaves u with 2700/60 and you get 45

Answer:

D. no more of 45

Step-by-step explanation:

i took the quick check

pls help me

calculate the slope of the line that passes through (3,2) and (-7,4) in a fraction

Answers

Answer:

-1/5

Step-by-step explanation:

slope can be found with the equation found in the image.

assign each coordinate with the according variable

x1 = 3       x2 = -7    y1 = 2    y2 = 4

and input the values accordingly.

4 - 2 / -7 - 3    PEMDAS (order of operations)

= 2/ -10           Simplify

= 1/ -5        

=-1/5

What is the value of (32 + 1)">

Answers

Answer:

yes

Step-by-step explanation:

Answer:

i have gotten 160.5

Step-by-step explanation:

Malika has a credit card balance of $321. Her available credit on this card is $4,679. What is her credit line
on this card?

Answers

Answer: 5,000

Step-by-step explanation:

4679 + 321=5000

If Malika has a credit card balance of $321. Her available credit on this card is $4,679. Then $5000 is her credit line on this card

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Malika has a credit card balance of $321

Available credit on this card is $4,679.

We need to find her credit line on credit card

To find this we just need to add $321 and $4,679.

Three hundred twenty one plus four thousand six hundred seventy nine

$321+$4,679.

We get five thousand

$5000

Hence, $5000 is her credit line on this card

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Ann started reading a book that is 300 pages long. She reads 40 pages a day. Which function shows how many pages Ann has left after d days?

a) f(d) = 300 − 40d
b) f(d) = 300 + 40d
c) f(d) =300d − 40

Answers

Answer:

A should be the answer

Step-by-step explanation:

The sum of four and seven times a number is -31. What is the number?

Answers

Answer:

The number is -5

Step-by-step explanation:

Let x be the number

Write it out as an algebraic expression: 7x + 4 = -31Subtract 4 from each side, so it now looks like this: 7x = -35Divide each side by 7 to cancel out the 7 next to x. It should now look like this: x = -5

I hope this helps!

Answer:

The number is -1.107142857142857

Step-by-step explanation:

I just used a calculator

100 PTS NEED HELP ASAP NO GUESSING NO COMING FOR POINTS IF YOU COMING FOR POINTS THATS FINE I JUST NEED THIS HELP!!!​

Answers

it’s A, a is the answer because it’s an actually x and y equation that’s functional

Answer:

it’s A, because it’s an actually x and y equation that’s functional

Step-by-step explanation:

Ok have a great day

I don’t understand number 1 and I need help solving it?

Answers

Answer:

  1/4 cup more

Step-by-step explanation:

1/2 + x = 3/4       ===>       0.5 + x = 0.75

                                        -0.5        -0.5

                                                   x = 0.25

         0.25 = 25/100 = 1/4 cup

PLEASE HELP REALLY QUICK

Jose starts a savings account with $80. At the end of 6 months, the
account has $350. Assuming there is a constant rate, how much did Jose
save per month?
A $270
B $72
C $60
$45

Answers

Answer:

D $45

Step-by-step explanation:

you would take the $350 and divide it by 80 an you get 4.375 than you round that to the nearest 5th

What does 15% + 14% + 12% =

Answers

Answer:

41%

Step-by-step explanation:

adding percentages is just regular adding so 15 + 14 + 12 = 41

Answer:

0.41

Hope this helped you

For every cup of milk, we use 4 cups of flour. Write a linear equation to represent the relationship.

Answers

We can represent these value using variables. Let’s call cups of flour F, and cups of milk M.
So, for every cup of milk we have 4 cups of flour.
We can also wright this as M= 4F
When we have one M (cup of milk) it must be equal to 4F (cups of flour),
For every one M we have 4F.

We can replace M and F with X and Y. They still mean the same thing, we just often see expressions written with X and Y in math.

So,
y=4x

algebra nation section 3- topic 8

Answers

Answer:

POINTSSSS thxx:))

Step-by-step explanation:

how do I solve this​

Answers

Answer:

15 degrees

Step-by-step explanation:

7x - 15 = 90

    +15.   +15

7x = 105

divide both sides by 7

x = 105/7 = 15

Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25​

Answers

Answer:

c

Step-by-step explanation:

what’s the answer i need help plssss!!!

Answers

Answer:

wouldent that be 8 x  3 lol????

Step-by-step explanation:

Answer:

follow the steps

Step-by-step explanation:

a²+b²=c²

8²+8²=c²

64+64=c²

find the square root of 128

Matthew mixes 1/2 cup of yellow paint for every 1/5 cup of blue paint to make green paint. how many cups of yellow paint are needed for 1 cup of blue paint.

Answers

Answer: He needs 2 1/2 cups of yellow paint

Your class collected money to buy turkeys and hams for
the local food shelter. After the collection, your class
had exactly enough money to buy 11 hams and 9
turkeys. If you raised a total of $316, and each turkey
cost $18, how much is one ham?

Answers

Answer: $14.00

Step-by-step explanation:

9 turkeys costed a total amount of  $162.00

We need to subtract that from the total cost, $316.00, to find out how much money was spent on 11 hams.

316 - 162 = 154

So, 11 hams costed 154.

We then need to find the unit rate of 11 turkeys for 154 dollars.

To do that, we must divide 154 ÷ 11

That gives us 14.

Therefore, your answer is: $14.00 per ham.

In what time will a sum of money double itself at 10%?
ease answer this please I need helppp....​

Answers

Answer:

8 generations

Step-by-step explanation:

Start with $1 and add 10% per generation until you reach $2. (Multiply by 1.1).

$1

$1.10

$1.21

$1.33

$1.46

$1.61

$1.76

$1.94

$2.12

points equal to y = - 1/2x + 5

Answers

Answer:

x= (-10,0)

y= (0,5)

Step-by-step explanation:

Find the x-intercepts.

Tap for more steps...

x-intercept(s):

(-10,0)

y-intercept(s):

(0,5)

what is the product of 25 and (6/5n +31/4)​

Answers

Answer:

30n + 193.75

Step-by-step explanation:

Product means multiplication so 25([tex]\frac{6}{5}n +\frac{31}{4}[/tex])

The first step is distribution of 25 to all numbers in ( ).

25([tex]\frac{6}{5}n[/tex]) is 30 and 25([tex]\frac{31}{4}[/tex]) is 193.75

Now we have the equation 30n + 193.75 which cannot be simplified further since the two variables are not like terms.

20% of 80 = 40% of ________ ?​

Answers

Answer: 160

Step-by-step explanation:

[IMAGE] is this linear or not and why? if it is what’s the equation?

Answers

Answer:

Linear, equation: y = -2x + 1

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