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

Answer: y=3x+3

Step-by-step explanation:

Answer 2

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

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27:

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

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

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Related Questions

Solve for x: 3(x + 1) = −2(x − 1) − 4.

Answers

Answer:

x = -1

Step-by-step explanation:

3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)

3x + 3 = -2x + 2 - 4 (collect like terms on the right side)

3x + 3 = -2x - 2 ( add 2x on both sides)

5x + 3 = -2 ( subtract 3 on both sides)

5x = - 5 (divide by 5 on both sides)

x = -1

3(x+1)=-2(x-1)-4
3x+3=-2x+2-4
3=-5x+2-4
7=-5x+2
5=-5x
-1=x

is 6 rational or irrational??

Answers

Answer:

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The number 6 is an integer

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)

Step-by-step explanation:

Answer:

6 is rational.

Step-by-step explanation:

6 is rational because it is classified as a natural/counting number and a whole number.

find the cube of 2.9​

Answers

Step-by-step explanation:

[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]

Answer:

The cube of [tex]2.9[/tex] is [tex]24.389[/tex].

joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies

Answers

29,930 is the correct answer

the number of minutes joe and his friends spent watching movies are 4920 minutes.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.

Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -

[x] = 41 x 2 x 60

[x] = 41 x 120

[x] = 4920 minutes.

Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.

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what postúlate proves the triangle congruent
a.ASA
b.HL
c.SAS
d.SSS
e.AAS

Answers

C. SAS
Side one is the same on both, then the angle, then the second side

The denominator of a fraction is 15. The fraction is equivalent to 3/5. What is the fraction

Answers

Answer:

9/15

Step-by-step explanation:

because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.

Answer:

9/15

Step-by-step explanation:

you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator

Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.

Answers

Answer:

you just do 1x2x3x4

and then that equals 24

so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is

240000

Step-by-step explanation:

Please help will give brainliest (please don’t answer if you don’t know it)

Answers

Answer:

it is 3 or 21

Step-by-step explanation:

because STUVW is equal to HGFED

the answer is 3, it is the same length as ST

Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1

(−3y+10)

Answers

Answer:

3/2y-5

Step-by-step explanation:

The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ – 1/2 (–3y + 10)

Simplify the equation, we have

⇒ (3/2)y – 5

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2c - 12 = 9C + 2
How do i solve this

Answers

2c-12=9c+2

Subtract 9c from both sides:
2c-12-9c=9c+2-9c

Add 12 to both sides:
-7c-12+12=2+12
-7c=14

Divide both sides by -7:
-7c/-7=14/-7
c=-2

Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?

Answers

Answer: Actual area of wall = 50 sq. inches

Step-by-step explanation:

Given: Scale : 1 cm : 2.5 inches

A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?

So, Actual length = 2  x 2.5 inches = 5 inches

Actual width = 4 x 2.5 inches = 10 inches

Actual area = Actual length x Actual width

= 5 x 10 = 50 sq. inches

Hence, Actual area of wall = 50 sq. inches

A fruit basket has 6 apples.
It has twice as many oranges as apples and twice as many
apples as bananas. How many more oranges than bananas
are there? Write the equation & answer

Answers

Answer: There are 9 more oranges than bananas because there are 6 apples, 12 oranges, and 3 bananas. (12-3=9)

f(z) = (2 + 6)
a=
h=
k=

Answers

Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...

A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?

Answers

Answer:

6

Step-by-step explanation:

Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3

please help ASAP i don't understand what to do

Answers

Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Range is (-5,5).........


Two congruent figures
have the same perimeter.
O sometimes
O Never
O Always

Answers

Answer:

always

Step-by-step explanation:

Which of the following is an equivalent expression with 3(7 + 2x)

Answers

Answer:

21+6x

Step-by-step explanation:

I dont know if it is a choice but this works

you just distribute so 3*7+(3*2x)=21+6x

hope this helps

brainliest?

please

21+6x
3 x 7= 21
3 x 2x= 6x

4. Complete the following two-column proof.
Given: 5x - 2 = -12
Prove: x = -2

help please.

Answers

Answer:

x does equal -2

Step-by-step explanation:

Substitue x = -2:

[5(-2) -2 = -12]

Simplify:

[-10-2 = -12]

Add/Subtract from left to right:

[-12 = -12]

Therefore:

x = -2

A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2

Answers

8 seconds I think ?.?.??.?.?.?.?.

help me pllsssssss i am havig trouble

Answers

Answer:

First line

Step-by-step explanation:

It's an X-intercept line so you're plugging in the number that the dot is on in place of the X in the formula

The answer is the First line

Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?

Answers

Answer:

Victor runs 0.6 of a lap in 1 minute

Step-by-step explanation:

From the question;

3 laps = 5 minutes

x laps = 1 minute

3 * 1 = 5 * x

3 = 5x

x = 3/5

x = 0.6

Victor runs 0.6 of a lap in a minute

Charles Babbage is known as the father of computer why ​

Answers

Answer:

Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.

BEACUSE HE CREATED AND OUT FATHER CREATED US THATS WHY

I need helps please and ty​

Answers

Answer:

y=7x+4

Step-by-step explanation:

Values of x and y satisfy the equation y=7x+4

Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59

Answers

Answer:

Step-by-step explanation:

a

What are school of fish ?​

Answers

Answer:

if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling

I WILL GIVE BRAINLEST PLZ HELP!!!
Analyzing Slope On a coordinate plane, a line goes through points (4, 24) and (16, 18). Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope? The slope is positive instead of negative. She counted the squares instead of using the scale. She used the points that are further apart instead of the two consecutive points. She used StartFraction rise Over run EndFraction when finding slope.

Answers

Step-by-step explanation:

The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.

if it's a multiple chose then the answer is b

hope this helps

Answer:

here is the answer

Step-by-step explanation:

Help me please
Find the slope

Answers

Answer:

this is a negative slope.

Step-by-step explanation:

Is Figure A a reflection of Figure B?



Answers

Answer:

No

Step-by-step explanation:

Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)

Answers

Answer:

7.5 square units

Step-by-step explanation:

A = (.5)bh

= (.5)(3)(5)

= (.5)(15)

= 7.5

Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.

Answers

Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Other Questions
in mutualism neither organism benefits true or false Read the passage.excerpt from The Story of My Lifeby Helen KellerAt the age of 18 months, Helen Keller was rendered deaf and blind. Unable to read, write, or speak, it was thought that Helen would never be able to communicate. "The Story of My Life" describes Helen's education with Anne Sullivan and the unorthodox teaching methods that enabled her to learn how to communicate and thrive.We read and studied out of doors, preferring the sunlit woods to the house. All my early lessons have in them the breath of the woodsthe fine, resinous odour of pine needles, blended with the perfume of wild grapes. Seated in the gracious shade of a wild tulip tree, I learned to think that everything has a lesson and a suggestion. The loveliness of things taught me all their use. Indeed, everything that could hum, or buzz, or sing, or bloom had a part in my educationnoisy-throated frogs, katydids and crickets held in my hand until forgetting their embarrassment, they trilled their reedy note, little downy chickens and wildflowers, the dogwood blossoms, meadow-violets and budding fruit trees. I felt the bursting cotton-bolls and fingered their soft fiber and fuzzy seeds; I felt the low soughing of the wind through the cornstalks, the silky rustling of the long leaves, and the indignant snort of my pony, as we caught him in the pasture and put the bit in his mouthah me! how well I remember the spicy, clovery smell of his breath!Sometimes I rose at dawn and stole into the garden while the heavy dew lay on the grass and flowers. Few know what joy it is to feel the roses pressing softly into the hand, or the beautiful motion of the lilies as they sway in the morning breeze. Sometimes I caught an insect in the flower I was plucking, and I felt the faint noise of a pair of wings rubbed together in a sudden terror, as the little creature became aware of a pressure from without.Another favourite haunt of mine was the orchard, where the fruit ripened early in July. The large, downy peaches would reach themselves into my hand, and as the joyous breezes flew about the trees the apples tumbled at my feet. Oh, the delight with which I gathered up the fruit in my pinafore, pressed my face against the smooth cheeks of the apples, still warm from the sun, and skipped back to the house!Our favourite walk was to Keller's Landing, an old tumbledown lumber-wharf on the Tennessee River, used during the Civil War to land soldiers. There we spent many happy hours and played at learning geography. I built dams of pebbles, made islands and lakes, and dug river-beds, all for fun, and never dreamed that I was learning a lesson. I listened with increasing wonder to Miss Sullivan's descriptions of the great round world with its burning mountains, buried cities, moving rivers of ice, and many other things as strange. She made raised maps in clay, so that I could feel the mountain ridges and valleys, and follow with my fingers the devious course of rivers. I liked this, too; but the division of the earth into zones and poles confused and teased my mind. The illustrative strings and the orange stick representing the poles seemed so real that even to this day the mere mention of temperate zone suggests a series of twine circles; and I believe that if any one should set about it he could convince me that white bears actually climb the North Pole.Part AWhat does Helen Keller's word choice in her description of her lessons with her teacher, Anne Sullivan, reveal about Keller? A. Her lessons are easier for her when she learns them outdoors. B.She feels connected to the natural world despite her lack of sight. C.The natural world holds many mysteries for her that she wishes to solve. D. She no longer misses her sense of sight when she is outside.Question 2Part BHow does the word choice in paragraph 1 help to develop the idea in Part A? A. Keller includes comparisons of her education to things that occur naturally in the wild. B. Keller includes descriptions of natural things that she can touch and smell. C. Keller includes the phrase breath of the woods to show that the natural world is living. D.Keller includes the sentence The loveliness of things taught me all their use to show that nature is a teacher. On a farm, the farmer decides to give pizza to her 15 ducks as a special treat. She orders 3 pizzas, and the total price is $23.46. What is the unit price of each pizza? (4 points)Group of answer choices$70.38$5.00$1.56$7.82 Vhy did the color of the peppered moth change?A.The moths' life cycle changed, B.The environment changedC.The amount of variation in the moth population changedD.The number of individual moths in the population changed, Question 20 of 25Einstein's theory of general relativity was published in 1916. It became fullyaccepted by scientists in the 1960s and is currently the best explanation ofgravity. Why did it take so long to become an accepted scientific theory?A. The scientific community requires a certain amount of time beforea theory can be accepted.B. No scientific laws could be found to validate the theory.C. More evidence needed to be gathered to validate the ideas in thetheory.D. Einstein's theory was difficult for many people to understand.SUBMIT who is the governor of arizona and how taxes been used in phoenix? you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area Please answer these giving brainliest to the first right person. 20 points. Someone who said that they did not hire Catholics would be violatingwhich amendment?A. 1stB. 2nd 4. 4th5. 5th Which of the following is likely to occur immediately as a result of new legislation regarding transition programs for veterans of the Afghanistan War?Choose 1 answer:Choose 1 answer:(Choice A)AThe Department of Veterans Affairs will use its authority to decide how to implement the law effectively.(Choice B)BMilitary experts will make recommendations to Congress on how much money they should spend creating these programs.(Choice C)CStates will create several job training programs to help veterans find jobs as they transition out of the military.(Choice D)DThe House Committee on Veterans Affairs will meet with recipients to determine the effectiveness of the law. The most common cause of foodborne illness is How did the Native weapons change? Why was it important to connect the Washington Territory to the rest of the country? Question 3 options:Because Washington offered an abundance of outdoor activities. Because Washington offered an abundance of natural resources. Because Washington was lacking in natural resources. Because Washington's workforce was largely migrant. 17+7j=87 What does j equal??????? what is the meaning of drama 2. What arguments against women's suffrage do you see in these cartoons? 3x-5=x+1Helpppppppppppp 8p+5=-6p+1 what's the answer to this equation? What part of the negotiations at Velasco did many Texas settlers dislike?a.Many Texas settlers disliked that Santa Anna was allowed to live.b.Many Texas settlers disliked that Santa Anna would convince Mexico to recognize Texas independence.c.Many Texas settlers disliked that the negotiations were held at Velasco.d.Many Texas settlers disliked that the negotiations were all done secretly.Please select the best answer from the choices providedABC 15,614+?=68,025 What is the total