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

2. Multiply and simplify: (x - 2)(2x + 3)
Answer

Answers

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

Answer:

2x^2-x-6

Step-by-step explanation:

use foil,

1) x*2x=2x^2

2) x*

majikalmochi avatar

i sent too early lol

2) x*3= 3x

majikalmochi avatar

3) -2*2x=-4x

4) -2*3=-6

majikalmochi avatar

now put that all together

2x^2+3x-4x-6

simplify

2x^2-x-6

If Z is the incenter of triangle TUV, WZ = 8x - 22 and ZX = 3x +
8, find ZV. Round to the nearest tenth, if necessary.
PLS HELP
GEOMETRY

Answers

9514 1404 393

Answer:

  ZV ≈ 42.8

Step-by-step explanation:

WZ and ZX and ZY are each radii of the incircle, so are the same length.

  8x -22 = 3x +8

  5x = 30

  x = 6

  ZX = ZY = 3x +8 = 3(6) +8 = 26

ZV is the hypotenuse of right triangle ZVY, which has side lengths of 34 and 26. So, the length of ZV can be found from the Pythagorean theorem as ...

  ZV = √(34² +26²) = √1832

  ZV ≈ 42.8

(7x^6+2x^5-3x^2+9x)+(5x^5+8^3-6x^2+2x-5)

Answers

Answer:

Step-by-step explanation:

Combine like terms

7x^6

2x^5+5x^5= 7x^5

8x^3

-3x^2-6x^2= -9x^2

9x+2x= 11x

-5

Put back into order

7x^6+7x^5+8x^3-9x^2+11x-5

yea im very slow so i need the answer pleaseeee!!

Answers

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

Mr. Hudson is a car salesman. He makes a fixed amount of $1,000 a month and receives $250 for every car that he sells. Which inequality shows the number of cars, n, Mr. Hudson must sell in a month to earn a minimum of $6,000?

Answers

Answer:

250n + 1,000 ≥ 6,000

Step-by-step explanation:

You know that he makes 250 dollars per car her sells and he automatically makes 1000 per month. n is representing the number of cars he sold and that is multiplied by the worth of each car. If he needs a MINIMUM of 6000 dollars. he must make 6000 dollars or more which can also be shown as ≥. Hope this helped!

The expression below can be written in simplest form as
4(2x-5)+7(x+2)

Answers

4(2x-5)+7(x+2)

bracket means multiplying

do 4(2x+5) first

4*2x=8x

4*-5=-20

7*x=7x

7*2=14

8x-20+7x+14

do the x first

8x+7x=15x

-20+14=-6

answers: 15x-6 or -6+15x

HELP it’s like 3:00 A.M and this is due at 3:20 A.M and my brain is completely dead.

Answers

Answer: Bigger X = 17       Smaller X = 1/3

Step-by-step explanation:

for the larger number

1x - 8 = 9 (equation)

X = 17 (the result)

for the smaller number

9x - 2 = 1 (equation)

X = 1/3 (the result)

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

IK this is simple math but I need help.

Answers

Answer:

C

Step-by-step explanation:

[tex]60*2 = 120[/tex]

[tex]60*3=180[/tex]

[tex]60*4=240[/tex]

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year

Answers

Answer:

Step-by-step explanation:

Step one:

given data

Maya

P=$1650

r=5%= 0.05

t= 4 years

The simple interest expression is

A=P(1+rt)

A=1650(1+0.08*4)

A=1650(1+0.32)

A=1650(1.32)

A=1650*1.32

A=$2178

James

P=$1600

r=8%= 0.08

t=4years

The compound interest expression is

A=P(1+r)^t

A=1600(1+0.08)^4

A=1600(1.08)^4

A=1600*1.360

A=$2176

After 4 years Mayas' balance is $2178

After 4 years James' balance is $2176

the difference is =2178-2176=$2

what is 852,442 rounded to the nearest thousand?

Answers

Answer:

852,000

Step-by-step explanation:

1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.​

Answers

Answer:

let the number be x

thrice of the number=3x

one-half of the number=(1/2)x

so from the expression we:

3x-x/2=2500

(6x-x)/2=2500

6x-x=2*2500

5x=5000

x=5000/5

x=1000

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

PLEASE THIS IS URGENT​

Answers

Answer:

B

Step-by-step explanation:

I am sorry if this is wrong

X=-4y + 4
2x + 8y =8
How many solutions are there?

Answers

Answer:

One solution.

Step-by-step explanation:

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

Need Answer ASAP only 5 min

Answers

70 mb is the answer

Answer: 70

Step-by-step explanation:

1. Divide 528 by 264 to get 2

2. Do 2 times 35 to get 70

Write the slope-intercept form of the equation of the line through the point (5,2) with a slope of -2/5.

Answers

Answer:

The answer is in the picture below

Step-by-step explanation:

it would be y-2=-2/5(x-5)

Using the table below, what is a (6(4))?

Answers

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6*4=24

Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?

Answers

Answer:

d

Step-by-step explanation:

to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50

this is the same as 50(0.80)

I’m pretty sure it’s d, because 50 (0.80) = 50 x 0.80 which equals 40 which is the 20% discount off of 50

What is the slope of y = -42 - 3?

Answers

I think is -42 the answer

For exercises 4-6, use the imaginary unit to write an equivalent expression for
the radicals.
Just number 4 and 6



Answers

4) 5i
6) 2(11i)

I’m pretty sure these are correct

POINTS plus will mark BRAINLIEST for the correct answer

Answers

Answer:

I believe the answer is 9

Step-by-step explanation:

The most balloons she has is 180 and she can make 20 animals with that so 180/20=9

The answer to your question is 9

The value of (Square root) 13 i is between _____.
A- 2 and 3
B- 5 and 6
C- 4 and 5
D- 3 and 4

Answers

Answer:

D

Step-by-step explanation

on the calculator it's 3.605551275 but rounding it is 4 so it's in between 3 and 4

Qué procedimiento debe realizar para convertir kilómetros a mililitros

Answers

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

I need help please anyone can help me !!!!

Answers

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

Solve
12x - 4 = -3 +3

Answers

12x-4=-3+3
+4 +4
12x = 1+3
12x =4
/4 /4
x =1

Answer:

Exact answer: 1/3   Decimal Form : 0.3

Step-by-step explanation:

i had 50 candies yesterday, and now i have 35. find the percent of decrease

Answers

Answer: you lost 15 candies

Step-by-step explanation:

Answer:

30% is the decrease percent

Directions: Determine whether the relation is a function. If the relation is a function, determine whether the
function is linear or nonlinear. EXPLAIN IN DETAIL WHY EXPLAIN the best way as possible ​

Answers

Answer:

Step-by-step explanation:

1. yes it is a function. The x is used just once and will pass the vertical line test.

2.y =-2x+3. Yes. Came as above. The x intercepts are (3/2,0) and the y is (0,3)

3. x= -2. No because it is a straight line or vertical line up the -2

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

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