Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).

Answers

Answer 1

Answer:

[tex]y=6x+43[/tex]

Step-by-step explanation:

We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

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

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]y-1=6(x-(-7))[/tex]

Simplify:

[tex]y-1=6(x+7)[/tex]

Distribute:

[tex]y-1=6x+42[/tex]

Add 1 to both sides. Hence, our equation is:

[tex]y=6x+43[/tex]


Related Questions

what is the simplified square root of -20?

Answers

Answer:

do you mean -2[tex]\sqrt{5}[/tex]?

Step-by-step explanation:


Rice sold
GH 56.00 per bag.
trader bought
some bags of
rice and paid GH 1,344.00, how
bags
of rice
did the
many
trader buy?​

Answers

Answer:

24 bags of rice

Step-by-step explanation:

for these kinds of problems you just have to divide.

1,344.00 ÷ 56.00 = 24

9514 1404 393

Answer:

  24 bags

Step-by-step explanation:

Let b represent the number of bags of rice. Then their total cost is ...

  56b = 1344

  b = 1344/56 = 24 . . . . . divide by the coefficient of b

The trader bought 24 bags of rice.

Which angles are corresponding angles?

Answers

Answer:

lmj and ijh

Step-by-step explanation:

G(x) = x2 + 8x +12 over x² – 2x-8
a. For what value(s) of x is the function (x) undefined? Explain your reasoning and identify the domain
of the function G(x) in interval notation

Answers

Answer:

The domain of the function in interval notation is -∞ < x < -2, -2 < x < 4, x > 4

Step-by-step explanation:

The given function is presented as follows;

[tex]G(x) = \dfrac{x^2 + 8 \cdot x + 12}{x^2 - 2 \cdot x - 8}[/tex]

The function given in rational format will not be defined when the value of the denominator = 0

Therefore, for the function to be undefined, we have;

x² - 2·x - 8 = 0

(x - 4)·(x + 2) = 0

Which gives;

x = 4, or x = -2

Therefore, the function is undefined for x = 4 and x = -2

The domain of the function in interval notation = -∞ < x < -2, -2 < x < 4, x > 4

What effect can be observed because of the gravitational pull between Earth and the moon.
HURRY THIS IS DUE IN 11 MINUTES! I NEED ANSWERS ASAP!!!!!

Answers

Answer:

The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.

Step-by-step explanation:

The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.

Hope it helped!!

zero product property:

(x-4)(-5x+1)=0

lesser x=

greater x=

Answers

Answer:

lesser x= (x-4)greater x=(-5x+1)

Can somebody plz answer both questions! only if u done it before thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERSS:DD

Answers

Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.

How much does an ice cream cost with 4 ounces of toppings?-------()
How much does an ice cream cost with 11 ounces of toppings?----()
If Elena's ice cream cost $3.50 more than Jada's ice cream, how much more did Elena's toppings weigh?-------()

Answers

Answer:

1st question: $2.00 2nd question: $5.50 3rd question: 7 oz.

Step-by-step explanation:

4 x 50= 2 = $2.00

11 x 50= 550 = $5.50

7 x 50= 350 = $3.50

Find the value of x that makes the equatlon true:
11x=143

Answers

Answer:

11(13)=143

Step-by-step explanation:

i divided 143 with 11 and got 13

your welcome for the help :D

What is the slope of y = x + 5

Answers

The slope of y=x+5 is 1

2^(x+1) X 3^(x-2) = 8
solve the equation.. help me plizzzz​

Answers

Answer:

X = 2

Step-by-step explanation:

If you need an step by step explanation, leave a comment! :D I'll write it here.

Answer:

Answer is file

Step-by-step explanation:

Passing through (5,7)
parallel to y = x + 6

Answers

Y=x+2 is the correct answer:)

Answer:

hil how are you doing

Step-by-step explanation:

Describe the slope of the line then find the slope plzzz help I’m bad at math

Answers

It’s undefined slope

THE DIFFERENCE OF TWO NUMBERS IS 17. IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)​

Answers

difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17

Answer:

15

Step-by-step explanation:

think the number is x

according to the question

32-x=17

-x=17-32

-x=-15

x=15 (divide both side by -1)

Find the 97th term of the arithmetic sequence 25,29,33

Answers

d = 4
Formula: an = a1 + (n-1)d
a97 = 25 + (97-1) * 4
a97 = 25 + 384
a97 = 409
The 97th term is 409

Gavin wants to save for a car that costs $12,000. He puts $1,000 into a bank account earning 3% interest compounded annually. The function to predict how long it will take him to save for the car is where t is the time in years.

What is the y-intercept of this function?


Type your answer in the box.
You may use numbers, symbols, and/or text in your answer.

Answers

Answer:

3,000

Step-by-step explanation:

THANK YOU FOR GETTING ME UP TO A B IN MATH

Answers

Answer:

WE ARE GLAD TO HELP

GOOD JOB

The circle graph shows a family monthly budget what is the minimum household budget ?

Answers

Answer:

uzftiztiiztiitztsistidottsiitssittsiitstsitsitisisttisitsditdittdtdiidtoddotd

If the circle graph shows a family monthly budget  then the minimum household budget is $4985.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to find the minimum houehold budget.

Clothing=$150

Entertainment=$110

Transportation=$500

College saving=$225

Retirement saving=$600

Gasoline=$300

Utilities=$200

Emergency savings =$75

Taxes=$900

Housing=$1500

Food=$425

The household budget is sum of all these.

Minimum household budget ==$150+$110+$500+$225+$600+$300+$75+$200+$900+$1500+$425

=$4985

Hence, the minimum household budget is $4985.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

PLEASE HELP! I'M STUCK!

Answers

I hope this attachment helps!!

Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2

Answers

Answer:

i think 2 if not sorry

Step-by-step explanation:

it makes the most  scene to me

In the figure shown, which theorem can be used to show that △ABC ≅ △DEF?

Answers

Answer:

option C, AAS triangle congruence theorem

hope it helps you

AAS triangle congruence theorem is used to show ΔABC≅ΔDEF

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find which theorem is used to show ΔABC≅ΔDEF

The two triangles are congruent.

AB=DE

BC=FE

CA=DF

and ∠A=∠D

∠B=∠E

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle

By AAS, When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

Hence AAS triangle congruence theorem is used to show ΔABC≅ΔDEF

To learn more on Triangles click:

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what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

25, of a box of multi-color cap erasers are green. If there are 3 green erasers, how many erasers are in the box?

Answers

Answer:

0.75

Step-by-step explanation:

'Percentage' is obtained by multiplying 3 by 25%.

25% × 3 =

(25 ÷ 100) × 3 =

(25 × 3) ÷ 100 =

75 ÷ 100 =

0.75;

En la casa de la familia de Trevor viven 6 personas (incluyendo a Trevor) y hay 3 baños. En el último mes, cada
persona se bañó durante un promedio de 480 minutos y utilizó un promedio de 72 litros de agua al bañarse
(en todo el mes). El agua cuesta 0.20 dólares por litro.
¿Cuánto dinero gastó la familia de Trevor en total en agua al bañarse el mes pasado?
dólares.

Answers

Answer:

La familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

                                                       

Step-by-step explanation:

El costo del agua viene dado por:

[tex] C = \$0.20/L [/tex]   (1)

Y cada persona de la familia de Trevor gasto en promedio 72 litros de agua. Si la familia tiene 6 integrantes (incluido Trevor) entonces:

[tex] A = 72 L*6 = 432 L [/tex]    (2)

Entonces, toda la familia usó 432 litros de agua en promedio en todo el mes.

Para saber el dinero total gastado por la familia debemos multiplicar la ecuación (1) y la ecuacion (2):

[tex] C = \$0.20/L*432 L = \$86.4 [/tex]

Por lo tanto, la familia de Trevor gastó 86.4 dólares al bañarse en todo el mes.

Espero que te sea de utilidad!                                    

Usando proporciones, hay que la familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

En la casa, hay 6 personas.Cada persona utilizó un promedio de 72 litros de agua.

Por eso, en todo, 6 x 72 = 432 litros de agua fueron usados.

Cada litro cuesta $0.2. De esa forma, el total de dinero gasto es de:

T = 0.2 x 432 = 86.4.

La familia de Trevor gastó 86.4 dólares en total en agua al bañarse el mes pasado.

Un problema similar es dado en https://brainly.com/question/20453191


I WILL GIVE BRAINLY

Enter values for x and y in the table to plot points in the graph.

Answers

Answer: positive

Y=0.04x-0.77

by-step explanation

Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

Write an expression that represents the given statements (use N to represent “a number”):

a) Two times a number plus three


b) Four less than a number


c) A number minus 5, then multiplied by 6

Answers

a) 2n + 3

b) n - 4

c) (n - 5) 6

A principal of $7,854 is placed in an account that earns 6% interest. If the interest is compounded monthly, how much money will be in the account at the end of 22 years?

Answers

Answer:

$124407.36

Step-by-step explanation:

Simple interest formula: I = P x R x T / 100

22 x 12 months = 264 months (=22 years)

7854 x 6 x 264 / 100 = $124,407.36

Whoever answers this I will mark you Brainliest or else I’ll report you

Answers

Answer:

Uhh ok

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

ok the answer  is ok

I WILL MARK BRAINIEST

Answers

Answer:

 X=32°

 Y=122°

Z=58°

Step-by-step explanation:

 X+73°+75°=180° (interior angles of a triangle adopts to 180°)

 X=180°-148°

 X=32°

 32°+Y+26°=180°(interior angles of a triangle adopts to 180°)

 Y=180°-58°

 Y=122°

Y+Z=180(angle on straight line adopts to 180°)

Z=180°-122°

Z=58°

Answer:

x=32, y=122, z=58

Step-by-step explanation:

[tex]Lets\ consider\ the\ quadrilateral\\Angle\ 1=73\\Angle\ 2=75\\Let\ angle\ 3\ be\ w\\\ We\ observe\ that,\\26+w=180 [Linear\ Pair]\\w=180-26\\w=154\\Hence,\\w+z+73+75=360[Angle\ Sum\ Property\ of\ A\ Quadrilateral]\\z+154+73+75=360\\z+302=360\\z=58[/tex]

[tex]We\ now\ observe\ that,\\Angle\ z\ and\ Angle\ y\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\z+y=180\\58+y=180\\y=122[/tex]

[tex]Hence,\\As\ y,26\ and\ x\ form\ a\ triangle, \\Through\ Angle\ Sum\ Property\ of\ a\ triangle\ they\ are\ supplementary \\Hence,\\26+x+y=180\\26+x+122=180\\x+148=180\\x=32[/tex]

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