Given the general form: ax + by = c How can we rewrite this general for the equation of a line, so that it is in slope intercept form? (a, b, and c are real numbers other than 0.) Hint: Substitute in values for a,b,c if you are confused) YOUR FINAL ANSWER SHOULD HAVE a,b,c in it. *

Answers

Answer 1

Answer:

[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex] or [tex]y = \frac{c-ax}{b}[/tex]

Step-by-step explanation:

Slope intercept form is y = mx + b, so you rewrite it to equal y.

ax + by = c

by = c - ax

y = (c - ax) / b

[tex]y = \frac{c}{b} - \frac{ax}{b}[/tex]

In the image, all the lines overlap. This proves that all the equations are equal to each other.

Given The General Form: Ax + By = C How Can We Rewrite This General For The Equation Of A Line, So That

Related Questions

Help looks like i forgot to read a ruler

Answers

Answer: 4 1/16

Step-by-step explanation:

4/1//16 i think that

Please give me the answer

Answers

Answer:

5.3

Step-by-step explanation:

plz help!!! Drag the tiles to the correct boxes to complete the pairs.
Match each point of intersection with the system of equations whose solution is at that point. (look at image)

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Answer:

Step-by-step explanation:

Each point of intersection with the system of equations was matched.

what is a linear equation?

Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.

In the given diagram, to find the intersection of two lines, solve the equations of two lines.

1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]

The solution of the given system of equations comes to be x=-1/2 and y=-2.

So they will intersect at (-1/2, -2) i.e. same as the graph.

2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]

The solution of the given system of equations comes to be x=-1 and y=3.

So they will intersect at (-1,3)

Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.

Hence, each point of intersection with the system of equations was matched.

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10 over 13 as a decimal rounded to the nearest tenth

Answers

Answer:

0.7

Step-by-step explanation:

If you divide 10 by 13 you get 0.76923 which rounded to the nearest tenth is 0.7

Hope this helped!

Answer:

0.8

Step-by-step explanation:

To find the decimal form of [tex]\frac{10}{13}[/tex] you'll need to divide 10 by 13.

10 ÷ 13 = 0.76923076923

The tenths decimal place is one to the right of the decimal: 0.1

Because the number after the tenths place is greater than or equal to 5, we will round the 0.7 up to a 0.8

what is the measure of angle 15

Answers

Answer:

A

Step-by-step explanation:

m<15 = m<1 because of how the transversals are placed. so m<1 = 90º - 65º = 25º

that means that m<15=25º

Answer:

<15=25º

Step-by-step explanation:

big brain

DUE NOW PLZ HELP
6, 9, 3, 7, 8, 7, 5
minimum:
maximum:

Answers

Answer:

minimum is 3 and maximum is 9

Step-by-step explanation:

your min is 3 and ur max is 9

HURRY!! WILL MARK BRAINLIEST!!!
whixhxh two points on the number line are opposites? !!HURRY WILL CASHAPP 10 BUCKS. ​

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Points A and D are opposites.

Answer:

points a and d because point a is -1 and 2/3 and point d is 1 and 2/3 so they are opposites

Identify the points corresponding to P and Q.

Answers

Answer:

the first one( even though it has an error : P is (-2,1) ) and because the Q is correct there too.

There are 450 total students at Snowden School. On Tuesdays, 12% of the students stay after school for Comedy Club. How many students stay after school for Comedy Club?​

Answers

Answer:

54 students

Step-by-step explanation:

First, change the percent to a decimal.

12% = 0.12

Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.

450 × 0.12 = 54

54 students stay after school for Comedy Club.

Answer:

3750

Step-by-step explanation:

You have to do is divided 450 from 12% and then you get your answer

PLS ANSWER ASAP 12 POINTS

Answers

Answer:

2/9

Step-by-step explanation:

its in the range to be 2/9

Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours.

What is Maya’s biking speed?

PLZ HELP IN A BIG RUSH PLZ PLZ PLZ

Answers

Answer:

Maya's biking speed is 8 miles per hour.

Step-by-step explanation:

She can run 18 miles in 3 hours. That means she could run 6 miles in one hour. So, if she can ride her bike 18 miles in 2 hours she can bike 9 miles per hour.

If she bikes for 27 (3 hours) miles and runs 9 miles (1.5 hours) then taking the total of miles dividing it by the time you would get Maya's speed.

The diameter of a circle measures 8 cm. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

16π or 50.266

Step-by-step explanation:

Circumference formula is just 2πr ,and the radius is 8, so just sub into the formula

Answer: 25.12 cm

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], when r = the radius.

Diameter = 2 x radius = 8 cm. Therefore, the radius = 4 cm.

Plug r = 4 cm in to the circumference formula: [tex]2\pi (4)[/tex] = 8 x 3.14 = 25.12 cm.

Please help due in 20 minutes!

Answers

Answer:

x =12

Step-by-step explanation:

We use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 13^2

x^2 +25 =169

Subtract 25 from each side

x^2 +25-25=169-25

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = 12

Enter the quotient.
6532 ÷ 23 =

Answers

The answer is 284.

If you know how to do long division, you will be able to show your work.

Answer:

284

Step-by-step explanation:

pls help will mark as brainliest

Answers

Answer:

The measure of the hypotenuse is 25.

Step-by-step explanation:

To solve, we can use the Pythagorean theorem a² + b² = c² where,

a = 7

b = 24

(7)² + (24)² = 625

We have to take the square root of 625 to get our answer.

[tex]\sqrt{625} = 25[/tex]

Answer:

25

Step-by-step explanation:

This is a right triangle. This is because of the little square in the corner that indicates a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know that 7 and 24 are the legs, because they make up the right angle. We know c is the hypotenuse because it is opposite the right angle.

7^2+24^2=c^2

Evaluate the exponents on the left side.

49+576=c^2

Add 49 and 576

625=c^2

Since c is being squared, take the square root of both sides. This will cancel out the exponent, and leave c by itself.

√625= √c^2

√625=c

25=c

The measure of the hypotenuse is 25

Which expressions can never result in a negative real number when evaluated for any value of x? Select all that apply.
1) x^1/2

2)x^2/3

3)x^-3/5

4)x^-1/2

5)x^1/3​

Answers

It is 5 beacause the x^1/3

The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

1) x^1/2

find the square root

[tex]= √x^1/2

[/tex]

[tex]= x^1[/tex]

= x

2) x^2/3

[tex]= 3√x^2/3[/tex]

=

3) x^-3/5

[tex]= 5√x^-3/5[/tex]

[tex]= x^-3[/tex]

[tex]= 1/x^3[/tex]

4) x^-1/2

[tex]= √x^-1/2[/tex]

,

[tex]= x ^-1[/tex]

[tex]= 1/x[/tex]

5) x^1/3

[tex]= 3√x^1/3[/tex]

[tex]= x^1[/tex]

= x

Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

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Sara has x dollars and Dina has 15 dollars less than Sara . Together the number

of dollars they have is?

Answers

Answer:

2x-15

Step-by-step explanation:

Sara has x dollars

dina has 15 less which is

x-15

together it will be

x+x-15

=2x-15

Given: m arc AB = 4x, m arc BC = 3x
m arc CD = 2x, m arc DA = 3x
Find: m∠APB

Answers

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

Answer:

m<APB = 30 degrees

Step-by-step explanation:

The sum of angles in a circle is 360 degrees. Add up all the arcs to get the equation : 4x+3x+2x+3x=360 degrees.

x is equal to 30 degrees

m arc AB = 4x = 120 degrees

m arc DC = 2x = 60 degrees

By secants exterior angles, m<APB = 1/2(m arc AB - m arc DC) = 1/2(120-60) = 30 degrees.

The answer is m<APB = 30 degrees

2. Making sure your calculator is in DEGREE MODE, evaluate each of the following an
verify that they either match or are close to the ratios you found in #1.
(a) sin( 67 ) =
(b) cos(67 ) =
(c) tan (67") =

Answers

Answer:

a. 0.921

b. 0.391

c. 2.356

Function A is represented by the equation

y=1/3x+5. Function B is represented by the graph. Which function has a greater rate of change? explain.

Answers

Answer:

They have the same rate of change.

Step-by-step explanation:

Well the graph of Function B is y = 1 / 3x + 2

So they have the same rate of change, since they have the same slope.

Need Help On This
simplify:
9a(-4a^3 b^5)(-2a^4 bc^6)

Answers

Answer:

72a^8b^6c^6

Step-by-step explanation:

Answer choices for both of them are
A) linear
B) exponential
C) quadratic

Answers

Answer:

#16 is linear but idk what 17 is

Use the values log 48 congruant to 1.68 and log 3 congruant to 0.48 to find the approximate value of log3 48.

Answers

Answer:log(48) = 1.68124

Step-by-step explanation:

After checking for the values of log 48 and log 3, then the approximate value will be 1.08.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

log(48) = 1.68

log(3) = 0.48

Then, the approximate value of log 3 and log 48 will be: 1.08

To know more about arithmetic operations:

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I will give brainliest to the first person who answers.

Answers

Answer:

the answer is [tex]\sqrt{5\\}[/tex] , and - [tex]\sqrt{5\\}[/tex] which is C.

Step-by-step explanation:

well I got that answer by doing this

we have [tex]x^{2}[/tex]= 5

For [tex]x^{2}[/tex]= f (a) the solutions are x = [tex]\sqrt{f(a)\\}[/tex] , - [tex]\sqrt{f(a)\\}[/tex]

so in this case the solutions are [tex]\sqrt{5\\}[/tex], and - [tex]\sqrt{5\\}[/tex]

HOPE THIS HELPS :)

Doing a test and timed so please help1

Answers

Answer:

20

Step-by-step explanation:

The hypotenuse is always the largest number and side length in a right triangle. We know the answer is 20 because it is the largest number.

What is y=2(x+1)^2 in standard form

Answers

Y=4x+4
I think this is it u just have to simplify to get it to y=mx+b

Answer:

[tex]y=2x^2+4x+2[/tex]

Step-by-step explanation:

[tex]y=2(x+1)^2[/tex]

[tex]y=2(x^2+2x+1)[/tex]

[tex]y=2x^2+4x+2[/tex]

convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar.
4/frac{1}{8}

Answers

33/8 is the correct answer

'Ello there! 20 points and brainliest!!! FOR JOHAN!!

List 3 expressions that equal the number 12
List 2 expressions that equal the number 2

Wow this question is literally the hardest thing I have ever seen PLEASE HELP MEEE!!!

Answers

Answer:

for twelve: 4 x 3, 9 + 3, 24 / 2.

for two: 1 x 2, 1 + 1.

Step-by-step explanation:

4 x 3 = 12, 9 + 3 = 12, 24 / 2 = 12

1 x 2 = 2, 1 + 1 = 2.


Consider the equation -2x+3y=6.
Write the equation in slope-intercept form.


Identify the y-intercept.

Identify the slope.

Answers

Answer:

y=2/3x+2

Step-by-step explanation:

Below are the average incomes for different education levels. How does the outlier affect the mean?mm

Answers

Answer:

It affects the Mean by how many different numbers.

Step-by-step explanation:

Find the medianDetermine all of your answers. and Figure out if the mean and the outlier are similiar.
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