What is the slope of a line parallel to the line whose equation is 3x – 3y = -45.
Fully reduce your answer,

Answers

Answer 1

Answer:

One

Step-by-step explanation:

A parallel line has the same slope of the original graph. Because of this, all we need to do is put the equation you gave into slop-intercept form, or:

y = mx + b

Don't forget that m is the slope, and b is the y-intercept!

3x - 3y = 45

-3y = -3x + 45

y = x + 15

Compare this to the equation of the slope-intercept form and look for m:

y = mx + b

There's nothing in front of the variable! No worries, that's the same thing as saying 1x.

But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter L or a capital i. Because of that, they made 1x equal x.

Long story short, the slope for the equation (3x – 3y = -45) is one. And because parallel lines have the same slope as their original counterparts, the slope is one as well!

I recommend trying a few other problems like these. You'll end up using them a lot in the future!

Good luck and keep studying!


Related Questions

Need an answer within an hour i will give brainlist dont write just anything please. thank you

Answers

Answer:

its not a straight line so what is the question ????????  maybe f(-3) = -3f

Step-by-step explanation:

What is the slope of the line through -4,3 and 5,3

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)

m = [tex]\frac{3-3}{5+4}[/tex] = [tex]\frac{0}{9}[/tex] = 0

Find the measures of the missing angles

Answers

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

1.

180 - 88 = 92°

5.

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

4.

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

3.

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

2.

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

f(x) = x³ + x² + x + 1

If x = 1 is a factor then f(1) = 0

f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero

f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0

Thus x = - 1 is the only zero

If 45% of a number is 63 and 35% of the same number is 49, find 80% of that number.

Answers

Answer:

Step-by-step explanation:

1) Let the number be y

45%of y=63

45y/100=63

Y=6300/45

Y=140

So 80%of a number =80y/100

=80×140/100

=112.

Let the number be y

35%of y=49

35y/100=49

Y=4900/35

Y=140

So 80%of a number =80y/100

=80×140/100

=112.

i need help if you do it you can have brainest

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Starting from the point-slope equation ...

  y -y1 = m(x -x1)

Solving for y gives ...

  y = mx +(y1 -m·x1)

So, the slope-intercept form equation is fairly easily found:

  y = mx +b . . . . where m = m, and b = y1-m·x1

This is the equation we have used for 'b' in the attached spreadsheet.

__

Of course, the formula for slope is ...

  m = (y2 -y1)/(x2 -x1)

This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)

__

The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)

_____

I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:

  y = mx +b

1.  y = 2x -7

3.  y = 2/3x +4

8.  y = 1/3x -5

9.  y = -5/2x +4

Isabelle and jamie share money in the ratio 2:3 isabelle recieve £42 how much money does jamie get​

Answers

Answer:

£63

Step-by-step explanation:

£42 is 2 parts so 1 part is half so £21

21 x 3 is 63 so jamie gets 63 pounds.

the sum of two numbers is 18 their difference is 4

Answers

Answer:

7 and 11

Step-by-step explanation:

Question in picture solve

Answers

The third one because it passes the vertical line test

Trudy bought a $20 prepaid long distance phone card. for every minute that she talks, $0.25 is deducted from her card. The function f(m)=20-0.25m represents the amount of money f(m) she has left after talking m minutes.FInd the zero and explain what it means in the context of the situation.

Answers

Answer:

Step-by-step explanation:

Given the function f(m)=20-0.25m to represent the amount of money f(m) she has left after talking m minutes, the zero of the equation can be gotten by setting f(m) to 0

f(m)=20-0.25m

0 =20-0.25m

-20 = -0.25m

m = -20/-0.25

m = 80

Hence Trudy will have talked for 80minutes if she has no money left

Which situation best describes a positive correlation? Group of answer choices The height of a candle and the amount of time it stays lit. The price of a pizza and the number of toppings added. The temperature of a cup of hot chocolate and the length of time it sits. The amount of rainfall on Fridays.

Answers

Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)

Answers

Answer:

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])

Just substitute the values given for each variable

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1

Write an equation for the nth term of the sequence 12, 5, -2, -9,....

Answers

Answer:

n-7

Step-by-step explanation:

when n=12

.: n-7= 12-7=5

when n=5

.:n-7= 5-7= -2

when n=-2

.: -2-7= -9 and so on

The equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

What is a sequence?

The sequential ordering of two or more things. two or more objects in orderly succession and orderly chronology. an orderly collection of items or concepts that are connected. something that occurs after another event or series of events.

An enumerated collection of things in mathematics known as a sequence allows repetitions and emphasizes the importance of order. It has members, similar to a set. The sequence's length is expressed in terms of its number of elements.

The word "sequence" refers to a grouping of connected items or occasions, or the succession of their occurrences. A group of numbers in a certain order is called a sequence. There are positions first, second, third, and so on for each phrase in a series.

[tex]n=12\\n-7 = 12-7 =5\\n=5\\n-7 = 5 - 7 = -2\\n=-2\\ -2 -7 = -9[/tex]

Therefore, the equation that can be used for the nth term of the sequence of 12, 5, -2, -9, and many more will be “n-7”.

Learn more about sequence from here:

https://brainly.com/question/21961097

#SPJ2

The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

Answers

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

85 is the range i hope this helps

Which of the following values are solutions to the inequality x-7< 5?x−7<5?

Answers

Answer:

x>12

Step-by-step explanation:

Answer:

These are = to........so =

Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter to earn $6 per hour which inequality shows the minimum number of hours, n, that annie should work as a babysitter to earn enough to buy a coat?
a 12 + 6n ≤ 30, so n ≤ 3
b 12 + 6n ≥ 30, so n ≤ 3
c 6n ≥30 + 12, so n ≥ 7
d 6n ≤30 + 12, so n ≤ 7

Answers

Answer:

The answer would be B.

Step-by-step explanation:

This is because the total cost is $30 so it can't be c or d. A shows that Annie can only have at least $30. this means that B is the only option left.

If this answer is wrong, I deeply apoligize. I hope you have a great day.

Please help me out !​

Answers

Answer:

D

Step-by-step explanation:

because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6

I think this is right but I maybe be wrong

Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.

Answers

Answer:

Step-by-step explanation:

Total cups of chocolate available = 7 1/3 cups

each batch uses 2/3 of a cup of chocolate

To get the number of batches of muffin Jim can bake, we will use the equality postulate.

1 batch = 2/3 cup of a chocolate

x batch = 7 1/3 cups of chocolate

Cross multiply

2/3 x = 7 1/3

2/3 x = 22/3

cross multiply

2x * 3 = 3 * 22

6x = 66

x = 66/6

x = 11

Hence Jim can bake at most 11 batches of muffins


Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,-5)
(-2,5)
(2,5)
(2,-5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's (2,5) just to let you now

Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1 year?

Answers

Answer:

111

I'm pretty sure

Step-by-step explanation:

Question 5 of 8
In arithmetic, variables look like
Answer here
SUBMIT

Answers

Answer:

In arithmetic, variables look like letters.

Step-by-step explanation:

As we know that Mathematical arithmetic deals with numbers and certain properties with them.

Some of the main properties between numbers are as follows:

AdditionSubtractionMultiplicationDivision

Variables do not remain constant, so we basically assign a number to a variable with an equal operator denoted by '='.

For example, let us assume a variable x being equal to 7. so it can written as:

[tex]x = 7[/tex]

Let suppose the value of the variable x=7 changes to x=10, then the new value will be:

[tex]x = 10[/tex]

Therefore, the correct answer is:

In arithmetic, variables look like letters.

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
p=421−376376
p=421−376421
p=376421−376
p=376+421376

Answers

Answer: B

Step-by-step explanation:

Answer: see explanation

Step-by-step explanation:

percent increase = × 100%

the increase = 421 - 376 = 45, hence

percent increase = × 100% ≈ 12%

4x² - 3x⁵ + x³ - 8x what is the answer need by today

Answers

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

what is 9.15 x 10^-4 in standard form

Answers

Answer:

.000915x

Step-by-step explanation:

Answer:

0.000915x

Step-by-step explanation:

Check it out it works man(woman)

What is rhe vertex of this parabola ?????? HELP

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?

Answers

Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation:

Is 5/6 equal to 2/3?

Answers

Answer: They are not equal

=====================================================

Work Shown:

For now, let's assume they are equal. We'll show a contradiction happens.

5/6 = 2/3

5*3 = 6*2 ... cross multiply

15 = 12 ... here's the contradiction

If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.

Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say

5/6 > 2/3

5*3 > 6*2

15 > 12

Which helps show 5/6 is larger than 2/3.

---------------------

Or you can use a calculator to see that

5/6 = 0.833 approximately

2/3 = 0.667 approximately

which shows the two fractions aren't equal and 5/6 is larger.

2x + y = -8
3x - 5y = -25

It’s substitution

Answers

Answer:

x = -5 , y = 2

Step-by-step explanation:

Solve the following system:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{y + 2 x = -8

-5 y + 3 x = -25

Hint: | Solve for y.

Subtract 2 x from both sides:

{y = -2 x - 8

-5 y + 3 x = -25

Hint: | Perform a substitution.

Substitute y = -2 x - 8 into the second equation:

{y = -2 x - 8

3 x - 5 (-2 x - 8) = -25

Hint: | Expand the left hand side of the equation 3 x - 5 (-2 x - 8) = -25.

3 x - 5 (-2 x - 8) = (10 x + 40) + 3 x = 13 x + 40:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = -2 x - 8

13 x + 40 = -25

Hint: | Isolate terms with x to the left hand side.

Subtract 40 from both sides:

{y = -2 x - 8

13 x = -65

Hint: | Solve for x.

Divide both sides by 13:

{y = -2 x - 8

x = -5

Hint: | Perform a back substitution.

Substitute x = -5 into the first equation:

{y = 2

x = -5

Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = -5 , y = 2

please help due in 5 mins

What is the probability of landing on an even number? (Write your final answer as a percentage.)



P(event)

Answers

Answer: 1/2 which equals 50%

Step-by-step explanation:

Answer:

0.5 because there are 4 numbers and 2 of them are even so it would be 1/2

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