What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y + 1 = 0?

4 x + y + 6 = 0
4 x + y - 6 = 0
4 x - y - 6 = 0

Answers

Answer 1

Answer: 4x+y-6=0

Step-by-step explanation:

To find the equation of the line that is parallel to 4x+y+1=0, we need to work in terms of slope-intercept form, which is y=mx+b.

4x+y+1=0       [subtract both sides by 4x]

y+1=-4x          [subtract both sides by 1]

y=-4x-1

Our original equation is in terms of y=mx+b.

The properties of parallel lines is that they NEVER touch. Therefore the slope must be the same. The y-intercept can be different though.

y=-4x+b           [plug in (1,2)]

2=-4(1)+b          [multiply]

2=-4+b             [add both sides by 4]

b=6

We can fill in our equation now.

y=-4x+6

We need to make our equation match the original, so let's manipulate it.

y=-4x+6           [add both sides by 4x]

4x+y=6            [subtract both sides by 6]

4x+y-6=0

Therefore 4x+y-6=0 is the answer.


Related Questions

50 PTSSSSSSSSSSSSSSSSSS
The expression 500(1.03)t models the population of a city in thousands of people t years since 2010. Based on this model, answer the following question: What is the expected population in the year 2025?

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Answer:

515

Step-by-step explanation:

Please help me out thank you.​

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its A

Step-by-step explanation:

Answer:

_____________

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!

You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

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Step-by-step explanation:

i think it is sponge Bob square pants

PLEASE THIS IS MY THIRD TIME ASKING TODAY I NEED HELP!!!
please only answer if you know how to do this!

Answers

Answer:

The answers are:

Step-by-step explanation:

1)Adjacent

2)Vertical

3)Corresponding

4)None of these

5)1,7  3,5  4,6  2,8 (<--angle numbers)

6)4,5  2,7 (<--angle numbers)

7)1=85, 2=95, 3=85, 4=85

8)1=60, 2=120, 3=60, 4=120

9)1=90, 2=90, 3=90, 4=90

10) No, they are not parallel. A protractor would show that the intersection angles are different, meaning the lines aren't parallel.

SORRY it took so long hope this helps!!

Answer:

1.

adjacent

2.

vertical

3.

corresponding

4.

none (just regular interior and thats not an option)

5.

(<5,<7) (<6,<8) (<1,<3) (<2,<4)

6.

(<2,<7) (<6,<3)

7.

<1= 85

<2= 95

<3= 85

<4= 85

8.

<1= 60

<2= 120

<3= 60

<4= 120

9.

<1= 90

<2= 90

<3= 90

<4= 90

10. No, its not parallel because the corresponding angles 1 and 7 aren't equal. You can use a protractor to figure this out by finding the measurement of angles 1 and 7. Because they aren't equal degrees, the lines will cross at some point

geometry help multiple choice trig

Answers

Answer:

14/50

General Formulas and Concepts:

Math

Reducing Fractions

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

sin∠C

Opposite Leg of ∠C = 14

Hypotenuse = 50

Step 2: Find

Substitute in variables [Trig - Sine]:                                                              sinC = 14/50

Answer:

14/50

Step-by-step explanation:

For angle C, 14 is the opposite leg. The hypotenuse is 50.

sin C = opp/hyp

sin C = 14/50

Answer: 14/50

how do you simplify this
8-6/3
6*8/3

Answers

The answer for the equation 8 - 6/3 is,

6.

The answer for the equation 6 × 8/3 is,

16.

Combine like terms
(3x^2−10x+4)+(10x^2−5x+8)
I will give brainliest

Answers

Answer:

13x^2-15x+12

Step-by-step explanation:

13x^2-15x+12 hope this helps!

(3/8)^-2(1/3x3/8)^3(1/3)^4

Answers


1/157464 x^9 is the answer

2−4(5p+1) Simplify to create an equivalent expression.

Answers

Answer:

2-20p-4 = -20p-2

Step-by-step explanation:

Answer:

- 20p - 2

Step-by-step explanation:

Given

2 - 4(5p + 1) ← distribute parenthesis

= 2 - 20p - 4 ← collect like terms

= - 20p - 2

*WILL GIVE BRAINLIEST 15 POINTS*

Find the volume of the triangular prism:

formula: V=12x base x height x length

Question 4 options:

A: 39 units3
B: 90 units3
C: 1,944 units3
D: 972 units3

Answers

The answer is D, this is because 9 times 12 times 18 equals to 1944 that times 1/2 basically means divided by two if you divide 1944 by 2 you get 972.

In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?

Answers

Answer:

14x + 6y = 10

14x + 35y = -77

Step-by-step explanation:

Multiply the top one by 2

14x + 6y = 10

Multiply the bottom one by 7

14x + 35y = -77

His next step is to subtract. You could have done this by multiplying the top one by -2

-14x - 6y = - 10

14x + 35y = -77     Now all you need do is add.  The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.

Answer:

A) 14x + 6y = 10

-14x - 35y = 77

Step-by-step explanation:

multiple the first equation by 2 and the second equation by -7

2( 7x + 3y = 5)

-7( 2x + 5y = -11)


14x + 6y = 10

-14x - 35y = 77

By what percent will a fraction change if its numerator decreases by 85% and the denominator decreased by 25%

Answers

Let x/y be the original fraction.

After decreasing the numerator by 50% and decreasing the denominator by 25%, the fraction is:

(x - 0.5x) / (y - 0.25y) = (0.5x) / (0.75y)

 = (2/3)(x/y) = 66 2/3% of x/y

So, the fraction decreased by 33 1/3%.  

The correct answer is 80%

What is the area of a parallelogram with a base of 14 feet and a height of 6 feet? Make sure you label your answer correctly too.

Answers

Answer:

84 Square Feet.

Step-by-step explanation:

In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.


The table shows the total cost to use Mark's Moving Company.
Hours
Total
Cost
1
$190
2
$280
3
$370
4
$460
Using f(x) to represent the total cost, and x to represent the number of hours, which function models this situation?
A. f(x) = 190x + 90
B. f(x) = 100x + 90
C. f(x) = 90x + 190
D. f(x) = 90x + 100

Answers

Answer:

The answer would be C                           can I get brainliest?

Step-by-step explanation:

Did this kind of math before. Hope this helps you.

Find the value of x. Round to the nearest tenth.

Answers

Answer:

14.8

Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

what is (9m)4 without exponents

Answers

Answer:

The answer is 36m

Step-by-step explanation:

Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.

what is the distance between (5 , 2)and (-1 , 4)

Answers

Answer:

6.32                  or             2 x sq rt 10

Step-by-step explanation:

6 along x axis, 2 along y axis

using the Pythagorean theorem

6^2+2^2=40

sq rt 40=6.32         or           2 x sq rt 10

The express elevator in the Empire State Building in New York City travels nonstop from
the ground floor to the top floor at a rate of 1,400 feet per minute.
The express elevator in the John Hancock Center in Chicago travels nonstop from the
ground floor to the observatory on the top floor at a rate represented by the equation
y = 30x, where y is the height, in feet, and is the number of seconds
Graph the two relationships on the grid below to compare the rates of the
two elevators,
ELEVATOR RATES
I
Height (feet)
1,000
900
800
700
600
500
400
300
200
100
0
10
40
50
20 30
Time (seconds)
Which elevator travels at a faster rate?
Using the information from the graph, explain how you got your answer.

Answers

The elevator of  John Hancock Center in Chicago travels at a faster rate.

The standard equation of a line is y = m + bm is the slope or rate of changeb is the y-intercept.

For the equation represented by the height of the elevator of  John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.

Since the express elevator in the Empire State Building in New York City travels nonstop from  the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of  John Hancock Center in Chicago travels at a faster rate.

Learn more on rate here: https://brainly.com/question/8728504

A recipe uses 2 cups of milk to make 4 servings. If the same amount of milk is used for each serving, how many servings can be made from three pints?

Answers

Answer:

12 servings

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Adam made note of all the bicycles and cars he could see parked or locked on a
certain city block. All the cars had exactly four wheels, and all the bicycles had exactly
two wheels. How many wheels were on the block if there were 15 bicycles and 7 cars?
How many wheels were on the block if there were x bicycles and y cars?

Answers

Answer  

68 bicycles.  

Let there be x bicycles, then there are (93 - x) tricycles.

From the given values:

2x + 3(93 - x) = 211

2x + 279 - 3x = 211

-x = 211 - 279 = -68

x = -68/-1 = 68.

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. '

Here given that,

Adam made note of all the bicycles and cars he could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels.

Suppose that there are [tex]x[/tex] bicycles, then there are [tex](93 - x)[/tex] bicycles.

So,

[tex]2x + 3(93 - x) = 211\\2x + 279 - 3x = 211\\-x = 211 - 279 = -68\\x = \frac{-68}{-1}\\x= 68.[/tex]

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

To know more about the simplification

https://brainly.com/question/11589761

#SPJ2

*I need to show work*
Suppose you have 11 coins in your pocket. You have nickels and dimes and they total $0.65. How many of each do you have? ​

Answers

Answer:

2 dimes and 9 nickles.

Step-by-step explanation:

2 dimes = 20cents

9 nickles = 45cents

20+45=65cents

2+9=11coins

X-y=3
6x-7y=11
what is the answer to this HELP plz

Answers

Here are the steps I took to solve it. Hopefully you understand what I wrote

Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=

Answers

Answer:

cacacc

Step-by-step explanation:

sorr

Answer:

the answer is 0.1666667

What is the circumference of a circle with a diameter of 9 inches.

Answers

Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

= 28.26 inches

14.3 times 6.2

[NEED ANSWER ASAP]

Answers

Answer:

88.66

Step-by-step explanation:

used calculator

what is the unit rate of 180 to 4

Answers

Answer:

18/4=45

Step-by-step explanation:

Find the explicit formula for the given sequence.

-4, 12, -36, 108,...

a
a_n=-4·(-3)^{n-1}

b
a_n=4·3^{n-1}

c
a_n=15·3^{n-1}

d
a_n=5·3^{n-1}

Answers

Answer:

Option a.) an = -4(-3)^(n-1)

helppp pleaasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

54.3701 feet or 16.57200648 meters

Step-by-step explanation:

simplify: 5(3x-4)-6(2x+3)

Answers

Step-by-step explanation:

I am doing the same math and I have no idea one nobody is helping me :/ there just looking at my problem and saying the wrong number :((

Step-by-step explanation:

Given

5(3x-4)-6(2x+3)

= 15x - 20 - 12x - 18

= 3x - 38

Find the slope of the line that passes through these two points: (4, 19) and (-15, 7) -19/12 19/12 12/19 -12/19

Answers

Answer:

12/19

Step-by-step explanation:

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

m=(7-19)/(-15-4)

m=-12/-19

m=12/19

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