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What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?

Answers

Answer 1

Answer:

An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the equation

[tex]6x+y=6[/tex]

Writing in the slope-intercept form of the line equation

[tex]y = -6x + 6[/tex]

comparing with the slope-intercept form of the line equation

y = mx+b

Thus, the slope of line = m = -6

We know that the parallel lines have the same slopes.

Thus, the slope of the parallel line is also -6.

As the line passes through the point (2,−5).

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope and (x₁, x₂) is the point

substituting the values m = -6 and the point (2,−5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-5) = -6 (x - 2)[/tex]

[tex]y+5=-6\left(x-2\right)[/tex]

subtract 5 from both sides

[tex]y+5-5=-6\left(x-2\right)-5[/tex]

[tex]y=-6x+7[/tex]

Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:

[tex]y=-6x+7[/tex]

Related Questions

Can you answer this question​

Answers

Answer:

5/6= 0.83333333333

4/15= 0.266666666

3/5= 0.6

1 &3/4 = 1.75

1/3= 0.33333333

4/1000= 0.004

so the ones that are repeating decimals are:

5/6 , 4/15, and 1/3

Step-by-step explanation:

SOMEONE PLEASE HELP ME

Answers

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m

Answers

Answer:

y=−34x+2.75

Step-by-step explanation:

Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.

3x + 4y = 12

4y = –3x + 12

y = –(3/4)x + 3

slope = –3/4

We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.

y = mx + b

2 = –3/4(1) + b

2 = –3/4 + b

b = 2 + 3/4 = 2.75

Plug the y-intercept back into the equation to get our final answer.

y = –(3/4)x + 2.75

Solve for x!!! Help please this is urgent!!!

Answers

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

find out distinct 3 letter word that can be formed from using the word singapore​

Answers

Answer:

Sing

Gap

Nape

There are more than 3 distinct words

4. A formula used for calculating velocity is v=1/2at^2

Answers

Step-by-step explanation:

You're sure?

But I thought that for calculating distance

What is the area of the room represented in the scale drawing?

Answers

Answer:

You have to do length times width

Step-by-step explanation:

Area= leingth time width ( 3D shapes = leinght times width times height)

Alexander is a stockbroker he earns 11% commission each week last week he sold $7000 worth of stocks how much did he make last week in commission if he averages the same amount each week how much did he make in commission in 2011

Answers

Answer:

the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

Step-by-step explanation:

The computation of the amount that he makes last week and in the year 2011 is as follows:

= Sale value of the stocks × earning percentage × number of weeks in a year

= $7,000 × 11% × 52 weeks

= $40,040

hence, the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Which expression is a sum of a number and a product?
A. 3 + 5x
B. 5 + x - 3
C. 5(x - 3)
D. 5x​

Answers

Answer:

its a. rhejhdhrhrjdhr

Help MEE!! what is the answer please

Answers

Answer:

v=12500-2500h

Step-by-step explanation:

Ok so to create this equation all you need to do is look at what information is given. You start with 12500 gallons of water so we know our equation is going to have 12500 in it.

So far our equation would look like this v=12500

The next information we are given is that it is decreasing by 2500 every hour so we know that we are going to be subtracting 2500 based on how many hours have went by so our equation would then look like this.

v=12500-2500h

we can check this by plugging in some numbers to see if it works. So at Zero hours we should still be at 12500

v=12500-2500(0)

v=12500

Ok so we know that it works for zero, but we should check at least one more number. We know that after 3 hours we would of lost 7500 gallons of water so it should equal 12500-7500=5000 gallons. Lets check this in our equation

v=12500-2500(3)

v=12500-7500

v=5000 Gallons

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:

Answers

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

Step-by-step explanation:

Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.

Their rates is calculated as:

For Lin

Lin read the first 54 pages from a 270-page book in the first 3 days.

54 pages = 3 days

270 pages = x

Cross Multiply

54x = 270 × 3

x = 270 × 3/54

x = 15 days

For Diego

Diego read the first 100 pages from a 320-page book in the first 4 days.

100 pages = 4 days

320 pages = x days

Cross Multiply

100x = 320 × 4

x = 320 × 4/100

x = 12.8 days

For Elena

Elena read the first 160 pages from a 480-page book in the first 5 days.

160 pages = 5 days

480 pages = x days

Cross Multiply

160x = 480 × 5

x = 480 × 5/160

x = 15 days

If they continue to read every day at these rates, who will finish first, second, and third?

Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time

Answer:

Diego will finish first while Lin and Elena would finish reading their book at the same time

3/4 x 5/6 plssssssssssss help

Answers

the answer is 5/8 :)

3/4*5/6

cross out 3 and 6 and divide by 3

3/3=1

6/3=2

1/4*5/2

multiply the numerator together

1*5=5

multiply the denominator together

4*2=8

1/4*5/2=5/8

answer:

5/8


Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey

Answers

Answer:

what is the question and what is the graph

Step-by-step explanation:

john has a goal to ride his bike 100 miles this summer. john has ridden 12 miles thus far. there are 40 days left of the summer. what average number of miles john must ride per day to reach his goal?

Answers

Answer:

2.2

Step-by-step explanation:

100 is his goal, minus what he already did, which is 12, you get 88. Divide 88 with the number of days remaining and then you get the answer.

Answer:

2 1/5 or 2.2 miles per day

Step-by-step explanation:

(100 - 12) / 40 = 2 1/5 or 2.2 miles per day

I need help ASAP with questions 3-7 plz show steps I will also mark brainliest

Answers

Answer:

.

Step-by-step explanation:

                            .

Write a conjecture that describes the pattern below.

3, 9, 27, 81...

Answers

Answer:

the pattern is going by 3s and u would multiply 3 by each number

Two trains are traveling at a constant rate. Which train has the greater speed?

Answers

Answer:

Train B.

Step-by-step explanation:

2 hours on Train A would be 120 miles and 2 miles on Train B would be 250 miles. The greater number (which is train B) is the one going the fastest.

Please mark me brainliest I need it! Please!

For the sequence an
4n + 7, which term number is 335?

Answers

N equal 175 thanks me later

What is the value of t?
40°
39°

Answers

Answer:41

Step-by-step explanation:

because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41

8.
What is the area of a circle whose diameter is 10?
A.10 pi
B.20 pi
C.25 pi
D. 100 pi

Answers

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r^2)

r=radius

=10/2

pls help 20points if help.How would the growing season of plants in Florida differ from the growing season of plants in New York?


a.The growing seasons of both states are similar. This is because the climates of both states are similar.


b.The growing seasons of both states are the same. This is because the climate has very little effect on growing seasons.


c.The growing season in New York is much longer than the growing season in Florida. New York's seasons are warmer than seasons in Florida.


d.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.

Answers

Answer:

D.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.

Step-by-step explanation:

3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?

Answers

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

What is X in feet

X= Ft

Answers

Answer:

x = 26ft

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676

[tex]\sqrt{676}[/tex] = 26

Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution

Answers

3x + 2 - x = 11x + 9
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9

X= - 7 over 9

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

What are the properties of equality?

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

learn more about subtraction property of equality here :

https://brainly.com/question/29182336

#SPJ2

My daily point give away!!! What is ten times 30 minus 1

Answers

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)

Answers

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ5

The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?

Answers

Answer:

2/5

Step-by-step explanation:

find the larger of two consecutive integers,x, if the sum of the smaller and larger is -9. write an equation and solve

Answers

Answer:

-4

Step-by-step explanation:

Problem Francine uses 2 3 3 2 ​ start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every 1 3 3 1 ​ start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.

Answers

Answer:

Pineapple juice = 2 cups

Step-by-step explanation:

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice

Pineapple juice : Orange juice

2/3 cup : 1/3 cup

how many cups of pineapple juice does Francine use for 1 cup of orange juice

Let x = cups of pineapple juice

Pineapple juice : Orange juice

x cup : 1 cup

Equate the ratios

2/3 cup : 1/3 cup = x cup : 1 cup

2/3 ÷ 1/3 = x / 1

2/3 × 3/1 = x / 1

6/3 = x / 1

Cross product

6 * 1 = 3 * x

6 = 3x

x = 6/3

x = 2

Pineapple juice = 2 cups

5d-3+2d=4d+9. I need help can you help me solve this problem

Answers

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

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