Put the following equation of a line into slope-intercept form, simplifying all fractions.
12x-20y= 60

help I need the answer

Answers

Answer 1

Answer:

[tex]y = \frac{3}{5}x - 3[/tex]

Step-by-step explanation:

To put this equation into slope-intercept form, we need to isolate y on one side of the equation.

First, we should move 12x to the right side of the equation. To do this, we need to subtract 12x from both sides.

12x - 20y - 12x = -20y (12x and -12x cancel out)

60 - 12x

We are left with;

-20y = 60 - 12x

To isolate y, we need to divide all the terms by -20.

-20y/-20 = y

60/-20 = -3

12x/-20 = [tex]\frac{12}{20}x[/tex]

[tex]\frac{12}{20}[/tex] can be simplified to [tex]\frac{3}{5}[/tex]

So, the equation we are left with is;

[tex]y = \frac{3}{5}x - 3[/tex]

Hope this helps!


Related Questions

The circumference of a hula hoop is 86\pi \text{ cm}86π cm86, pi, start text, space, c, m, end text.
What is the radius of the hula hoop?

Answers

Answer:

43 cm!

Step-by-step explanation:

First, C = 86π

So, 86 × 3.14 (which is π) = 270.04

270 ÷ 3.14 = 86

86 ÷ 2 = 43

i hope this helps :)

-5.7 + (-4.2)
help please

Answers

Answer:

-5.7 + (-4.2) is your question and -9.9 should be the answer for you

Step-by-step explanation:

hope this helps please mark me brainliest

Please help, thank you!
Find the exact value:
cos Ф=3/5 where 270≤Ф<360
find cos2Ф

Answers

Answer:

[tex]cos2\theta = -frac7{25}[/tex]

Step-by-step explanation:

By using the double angle formula for cosine [tex]cos 2\theta = 2cos^2\theta -1[/tex], replacing the value we have we get

[tex]cos 2\theta = 2 (\frac35)^2 -1 = 2\frac9{25} -1 = \frac{18}{25}-\frac{25}{25} = -\frac{7}{25}[/tex]

Answer:

-7/25

Step-by-step explanation:

Disclaimer: I'm using variable x instead of theta.

Step 1: Simplify cos 2x.

[tex] \cos(2x) = \cos {}^{2} (x) - { \sin {}^{2} (x) }^{2} [/tex]

[tex] \cos(2x) = \cos {}^{2} (x) - (1 - \cos {}^{2} (x) ) [/tex]

[tex]2 \cos {}^{2} (x) - 1[/tex]

We know that cos x= 3/5 so that means

[tex] 2(\frac{3}{5} ){}^{2} - 1 = 2( \frac{9}{25} ) - 1 = \frac{18}{25} - 1 = \frac{ - 7}{25} [/tex]

So the exact value of cos 2x=

[tex] \frac{ - 7}{25} [/tex]

There is another way to find this but this is easier.

i do not know this answer
i need the answers for h and e

Answers

Answer:

E'=[0,-8]

H'=[0,-3]

Step-by-step explanation:

Tori spends equal amounts of time on homework from each of her subjects. She spends 1 hour altogether on her homework each night. If Tori spends 1/4 an hour on Chemistry, how many subjects does she study?

Answers

Answer:

4

Step-by-step explanation:

Quarter hour on chemistry

Quarter hour on class 2

Quarter hour on class 3

Quarter hour on class 4

Total time....One hour

The set of three lengths that will form a right triangle are
О 21, 31, 33
O 16,30,34
0 17,22,38
O 13, 20, 25

Answers

Answer:

O 16,30,34

Step-by-step explanation:

To confirm, use Pythagorean theorem to check.

(16)² + (30)² = (34)²

256 + 900 = 1156

=> It is correct

=> Therefore, this set of three lengths will form a right triangle

find the area and perimeter of this figure​

Answers

Answer:

Step-by-step explanation: it is 37 and per =45

Find the slope of the line passing through the points (-4, -4) and (2, 5) .

Please help! I cannot figure this out! Any help is appreciated, and please explain as well!

Answers

im sorry i csnt explain but the slope is 9/8

Barry and Kerrie are discussing their pets
during a poker game. Barry tells Kerrie that
he has at least one dog at home. When Kerrie asks what breed, he answers
cryptically: "If I have a Labrador but not a
Staffie, I also have a Collie. I either have
both a Collie and a Staffie or neither. If I
have a Collie, then I also have a Labrador. "
What breed or breeds does Barry have at
home?

Answers

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

What is logical reasoning ?

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie. From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.From Statement 3, Barry must have a Labrador if I he has a Collie.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Learn more about logical reasoning at: https://brainly.com/question/25175983

how would i do this? :')

Answers

Step-by-step explanation:

sin 2b = -.5

2b =-30°

b = -15°

cot ^2(3π/4 +15)

=cot^2(3π/4+ π/12)

=cot ^2(10π/12)

=cot^2(150°)

=2.99

Graph y=-6(3)^x

please do the table and the graph

20 POINTS!

Answers

Answer:

Explanation to the answer below... (Answers in the Explanation)

Step-by-step explanation:

We Know that our rule is y = [tex]y = -6(3)^{x}[/tex] , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

[tex]y = -6(3)^{x}\\y = -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18[/tex]

2nd, point

[tex]y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54[/tex]

3rd Point

[tex]y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162[/tex]

4th Point

[tex]y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\[/tex]

5th Point

[tex]y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458[/tex]

6th Point

[tex]y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\[/tex]

7th Point (Last Point)

[tex]y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122[/tex]

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...


find the missing lengths. leave your answers as radicals in simplest form

Answers

Check the picture below.

Team A scored three times as many points as Team B. Which team scored most points? If Team A scored n point, how many points did team B score?​

Answers

Answer:

They scored 66 points

Step-by-step explanation:

Sally scored 45% out of the 100%

And there are 120 points in all.

To find the rest of the teams points you have to subtract Sally's points:

100% - 45% = 55

So to find this out you solve for x (points):

55/100 = x/120

100x = 6,600

100x = 6,600

100         100

x = 66

Step-by-step explanation:

Which graph best represents the solution to this system of inequalities?

Answers

Answer:

D

Step-by-step explanation:

D is the only graph where the shaded region is on 6 and less.

180 are given a line that has a slope of 4 and passes through the point ở 2). Which statements about the equation
of the line are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y - 4x-1
The point slope equation is -
43-
The Point ( ) corresponds to (x, y) in the point-stope form of the equation.

Answers

Answer:

we can do it again and again and again and again and again and again and again and again and again on Monday morning baby I'm a fan for the rest are the only way we do to help me to get to see this

Two expressions are shown below:
1. 4s +2
2. s x s x s x s+ h x h
Are these expressions equivalent? Explain why or why not.

Answers

Answer:

They are not equal

Step-by-step explanation:

So, lets start by simplifying the expressions

Expression 1:

4s + 2

Expression 2:

s x s x s x s + h x h

s^4 + h^2

We have two different expressions now, they don't seem to be equivalent, since in the first one, we have 4 x s + 2, but in the second one, it is s x s 2 times added with h x h.

If you have any questions, let me know in the comments. If you could mark this answer as the brainliest, I would very much appreciate it! :D

given the following zeros, find the polynomial function x=0, x=1, x=6

Answers

(

x

)

=

x

3

+

2

x

2

3

x

Explanation:

given zeros

x

=

3

,

x

=

0

,

x

=

1

then factors are

(

x

+

3

)

,

(

x

0

)

,

(

x

1

)

f

(

x

)

=

x

(

x

+

3

)

(

x

1

)

f

(

x

)

=

x

(

x

2

+

2

x

3

)

f

(

x

)

=

x

3

+

2

x

2

3

x

is a possible function

graph{x^3+2x^2-3x [-10, 10, -5, 5]}

Which of these expressions are equivalent to 7 1/2

Answers

Answer:

it's 7.5

Step-by-step explanation:

1/2 as a decimal is 0.5

Edwin is shopping with his mom. He sees that oranges are on sale. A bag of 15 oranges costs $3. 75. Calculate the unit rate of each orange.

HELP FAST​

Answers

Answer:

$0.25

Step-by-step explanation:

To find the unit rate of each orange, divide the total cost of the bag by the number of oranges in the bag:

⇒ 3.75 ÷ 15 = 0.25

Therefore, the unit rate of each orange is $0.25

(show ur work) what is 13 1/2 ÷ 8 2/4 = ?

Answers

4.3333 but I don’t know if this is right but I did calculate

If X represents height and Y represents wingspan the slope represents the relationship between the wingspan and arm span what is the y-intercept represent?

Answers

Answer:

y-intercept mean the line going through

Step-by-step explanation:

it means the line going threw

Select the equation of the line that passes through the point (-2,3) and is perpendicular to the line on the graph.
O y = -2
O y = 0
O y = 3
O y = 3x

Answers

Y=3x trust meee that’s the answer aka D

The ratio of cats and dogs are is 5 to 2 if there are 45 dogs in the neighborhood how many cats are there?

Answers

Answer:

18 cats.

Step-by-step explanation:

5 divided by 2 is 2.5. 45 multiplied by 2.5 is 18. This is the right answer, I double checked it.

What is the value of x
I will give brainliest

Answers

Answer:

52

Step-by-step explanation:

answer = fifty two

x = 52

Answer:

X+90+90+128=360(total sum of quadrilateral)

X+180+128=360

X+308=360

X=360-308

X=52

Please help! 20 points thanks :)

Answers

Answer:

Option A

Step-by-step explanation:

We use the slope formula:

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

We substitute the values given and see which option corresponds with our equation:

[tex]\frac{-4-(-6)}{-2-3}[/tex]
Option A must be correct

A
Is the answer Hope I help get your 20 points

Given the following rectangle and circle, at what approximate value of x are the two areas equal? x ≈ 5.8 x ≈ 3.4 The curves do not intersect, so there is no solution. x ≈ 8.7

Answers

The approximate value of x will be approximately equal to 3.4

Area of triangle and circle

The formula for calculating area of rectangle is expressed as:

A  = lw

l is the lengthw is the width

Ar = (3x-1)(x+2)

Ar = 3x^2+6x-x-2

Ar = 3x^2 + 5x - 2

For the circle

Ac = πr²

Ac = 3.14(x-3)²

Ac = 3.14(x²-6x+9)

Ac = 3.14x² - 18.84x + 28.26

If the area are equal;

3x² + 5x - 2 = 3.14x² - 18.84x + 28.26

3.14x² - 3x² - 5x - 18.84x + 30.26 = 0
0.14x²-23.84x+30.26 = 0

On factorizing the equation, the approximate value of x will be approximately equal to 3.4

Learn more on area of rectangle here; https://brainly.com/question/25292087

Solve this System of Equations Algebraically
2x + 5y = -13
3x - 4y = -8

Answer Options :
( 4,1 )
( -4,1)
(4,-1)
(-4,-1)

Answers

Answer:

{x,y}={-4,-1}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 3x = 4y - 8

[2] x = 4y/3 - 8/3

// Plug this in for variable x in equation [1]

[1] 2•(4y/3-8/3) + 5y = -13

[1] 23y/3 = -23/3

[1] 23y = -23

// Solve equation [1] for the variable y

[1] 23y = - 23

[1] y = - 1

// By now we know this much :

x = 4y/3-8/3

y = -1

// Use the y value to solve for x

x = (4/3)(-1)-8/3 = -4

Solution :

{x,y} = {-4,-1}

Which statement about the location of K on the number line is true? Statement 1: The location of the point K can be described as -(-3). Statement 2: The location of point K can be described as the opposite of -3.
A: Only statement 1 is true
B: Only statement 2 is true
C: Neither statement 1 nor 2 are true
D: Both statement 1 and statement 2 are true

Answers

Answer:

I think I'm correct I don't know but I think the answer is B

which of the following has a unit rate of 2.5 meters per second

a: 4 meters in 10 seconds
b: 10 meters in 4 seconds
c: 7.5 meters in 3 seconds
d: 5 meters in 2 seconds

Answers

Answer:

All of them except A

B: 10 meters in 4 seconds

C: 7.5 meters in 3 seconds

D: 5 meters in 2 seconds

Step-by-step explanation:

divided the number meters by the number seconds to get meters per second

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANK YOU

Answers

Answer:

The answer is A)

Step-by-step explanation:

If we take it from the bottom left corner which it wants us to. We get the point (4,-6) if you move it 8 left and 7 up you get the new point (-4,1) Which ends up putting figure 1 inside of figure 2.

Hope this helped.

A brainliest is always appreciated

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