Work out m and c for the line: 3 y + 6 x = − 3

Answers

Answer 1

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

[tex]{ \rm{y = mx + c}}[/tex]

m is the slopec is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

[tex]{ \rm{3y + 6x = - 3}}[/tex]

• let's make y the subject in order to make the equation in slope - intercept format.

remember to apply "subject making knowledge"

[tex]{ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}[/tex]

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

[tex]{ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}[/tex]


Related Questions

through: (-1, 4) and (-4, 2)

Answers

Midpoint= (-2.5, 3)

[tex] distance \: = \sqrt{13} [/tex]

Equation:

[tex]y = \frac{2x}{3} + \frac{14}{3} [/tex]

Answer:

[tex]First \: you \: find \: the \: gradient \: of \: the \\ \: line \: using \: the \: formula[/tex]

[tex] \frac{ {y}{2} - y1}{x2 - x1} [/tex]

[tex] \frac{ 4 - 2}{ - 1 - - 4} = \frac{2}{3} = 0.66666666666[/tex]

[tex]Next, use \: the \: equation \: of \: a \: line \: \\ which \: is[/tex]

[tex](y - y1) = m(x - x1)where \: m \: is \: the \: gradient.[/tex]

[tex](y - 4) = 0.66666666666(x - - 1)[/tex]

[tex] = y - 4 = x + 0.66666666666[/tex]

[tex]Therefore,[/tex]

[tex]y = x + 4.66666667[/tex]

Step-by-step explanation:

[tex]Sry \: if \: it \: is \: wrong...[/tex]

[tex]\huge\red{T}\pink{H}\orange{A}{N}\blue{K}\gray{S}........[/tex]

The height of two boys are in the ratio of 4:5 the shorter boy is 80 cm what is the height of the taller boy?​

Answers

Answer:

100cm

Step-by-step explanation:

The relationship between the ratio and the heights is 20. i.e 4 : 5 = 80 : 100

Hope this helps, please tag brainliest.

The height of the taller boy is 100cm.

What is ratio?

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Let the height of the taller boy be x cm and smaller boy be y cm.

According to the given question.

The ratio of height of the two boys is 4:5.

Since, it is obvious that 4:5 is the ratio of the height of smaller boy to the taller boy. Because k will be the ratio of proportionality then 4k will given the smaller value and 5k will give the larger value therefore, 4:5 represents the ratio of height of smaller boy to the taller boy.

[tex]\implies \frac{y}{x} =\frac{4}{5}[/tex]

Also, the height of the shorter boy is 80cm.

Therefore,

[tex]\frac{80}{x} = \frac{4}{5}[/tex]

[tex]\implies 80\times 5 = 4\times x[/tex]

[tex]\implies 400 = 4\times x[/tex]

[tex]\implies x = \frac{400}{4}[/tex]

[tex]\implies x = 100cm[/tex]

Hence, the height of the taller boy is 100cm.

Find out more information about ratio here:

https://brainly.com/question/13419413

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A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price, how much will it cost to buy 8 magnets? PLEASE HELP ITS A TEST I GIVE BRAINLIEST

Answers

So if it’s 3 for 10 you have to find the average. Divide 10 by 3 to get you 3.33 $ per magnet. But we need 8 magnets! So 8x3.33= 26.64$

At this price. The cost to buy 8 magnets will be $26.67.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A gift shop sells souvenir magnets. The store is selling 3 magnets for $10. At this price. The cost to buy 8 magnets will be

Let x be the cost of 8 magnets.

We know that the ratio of the cost and the number of magnets will be constant. Then we have

x / 8 = 10 / 3

x = $26.67

At this price. The cost to buy 8 magnets will be $26.67.

More about the ratio and the proportion link is given below.

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f(x) = 4x + 7. Find the inverse of f(x).
A. f '(x) = 7 - 4.3
B. f 1(x) = 4x - 7
4
IT
c. f '(2)
x= 4
D. f '(x) =
7

Answers

Answer:

f '(x) = 4

Step-by-step explanation:

download photo math on your phone

PLEASE HELP!!
What is the range of y=x+3^2?
A: all real numbers
B:{3^2}
C: all real numbers except 9.
D:{1,3,9}

Answers

Answer:

A

Step-by-step explanation:

POSS
Given a cone with height of 10 cm and a base radius of 9 cm, what is the volume of the cone? Use 3.14 for 7. Round your answer to th
O 8.4 cm2
O 8.4 cm
O 8.47 cm?
O 847.8 cm3
1
2
3
4
5
6
7

Answers

Answer:

847.8cm3

Step-by-step explanation:

formula for volume of cone is 1/3πr^2h

If f(x) = √ x + 3, then f' (1) =

Answers

Answer:

4

Step-by-step explanation:

Do you see f(x) (f of x)? if the (x) part is a number, plug that number in as x on the other side of the equal sign. If I plug 1 in, I get 4, because the square root of 1 is 1, and 1+3=4.

A street sign that is 8 feet tall casts a shadow that is 5 feet long. At the same time, a nearby tree casts a shadow that is 28 feet long. What is the height of the tree?​

Answers

Answer:

44.8 feet

Step-by-step explanation:

In a bag of marbles there are 3 red, 4 green, and 3 blue marbles. Which probabilities represent Nora's chances of NOT picking a green marble? (pick three boxes) *
Answer choice :: (numbers)
²/₅
6%
40%
60%
³/₁₀
.3
3%
³/₅
30%
4%
.6
.4

Answers

Answer:

3/5

Step-by-step explanation:

Red + blue marbles/ Total marbles

(Level 4) In a bag of orange, red, and yellow, 60% are orange, and 10% are red. There
are 6 yellow marbles in the bag. If you increase the number of orange marbles by 50%,
how many orange marbles are in the bag?

Answers

The answer is 22 orange marbles. Let me explain. Since 60% are orange and 10% are red, the rest, 30% is yellow. So we learn that every 10% equals to 2 marbles. If you add 60% + 50% = 110%

90% = 18

And we have to add 4 more because 10%×2.

So the total comes to 18+4= 22.

Ight Ight please answer please please!!

Answers

Answer:

y=x^2+1 is the answer i believe!

Step-by-step explanation:

this is because it is a parabola (quadratic) = not a line!

hope this helps!

PLEASE HELP ASAP!!!!! <333

Answers

Answer: Scientific notations

1) 4.4822 x 10^10

2) 1.05 x 10^-5

3) 9.5 x 10^-4

4) 4.2035 x 10^5

5) 2 x 10^4

Step-by-step explanation:

Answer:

1. 4.4822 x 10^10

2. 1.05 x 10^-5

3. 9.5 • 10^-4

4. 4.2035 x 10^8

5. 2 x 10^4

6. 0.092 x 10^6

7. 0.5014 x 10^-3

8. 400 x 10^-14

9. 0.77 x 10^8

10. 0.0215 x 10^1

can you help me with number 11 its fine the slope of of the line that passes through each pair of points​

Answers

Answer:

is the question complete!

Can someone pls help me

Answers

>> Answer

__________

[tex] \: [/tex]

b² = c² - a²

b² = 10² - (√19)²

b² = 100 - 19

b² = 81

b = √81

b = 9

CAN SOMEONE HELP ME WITH THIS QUESTION MARKING BRAINLEIST BTW!

Answers

Answer:

not to familiar but maybe 1/10 or reverse

Step-by-step explanation: i think this might be right because the number the final arrow points to is 10

Work out the value of

n

1

4

÷



2

=

2

n

Give your answer as an improper fraction.

Answers

Answer:

0

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Can someone help me with this?
You may answer as much as you can.​

Answers

Answer:

17 obtuse triangle

Step-by-step explanation:

hope it helps

Answer:

11. corresponding

12. consecutive interior

13. alternate exterior

14. alternate interior

15. corresponding

16. consecutive interior

17. alternate interior

Find the base of a triangle if its area is 54 square centimeters and its altitude is 9 centimeters.

Answers

Answer:

12 cm

Step-by-step explanation:

A = bh/2

54 = b(9)/2

b = 54(2)/9

b = 12

Answer:

it's answer is 12cm

Step-by-step explanation:

54=1/2 x 9

54=2/1 x 1/9

Мне нужна помощь с 79% из 67 миль - это что?

Answers

Answer:

52.93 miles

Step-by-step explanation:

79% of 67 miles =

0.79 * 67 = 52.93

52.93 miles

-Chetan K

What is the largest number?

Answers

Answer:

The biggest number referred to regularly is a googolplex (10googol), which works out as 1010^100. To show how ridiculous that number is, mathematician Wolfgang H Nitsche started releasing editions of a book trying to write it down.

Step-by-step explanation:

if this helped plz mark brainliest

suppose a 95 confidence interval for a population proportion is (0.27 0.49)
-what is p
- what is the margin of error

Answers

HEY!!!!!!

plz Reffer the attachment

mark as brainlist please

negative five divided by five sevenths

Answers

Answer:

-7

Step-by-step explanation:

-5 ÷ 5/7

⇒ -5 × 7/5

⇒ -7

hope this helps !

pls mark as brainliest :))

[tex]\\ \sf\longmapsto -5\div \dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto -5\times \dfrac{7}{5}[/tex]

[tex]\\ \sf\longmapsto -1(7)[/tex]

[tex]\\ \sf\longmapsto -7[/tex]

The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal.

Answers

Answer:

I just need points

Step-by-step explanation:

so I'm not sure

There are 20 students in the algebra class. One-half of the students were boys. One-half of the boys wore T-shirts. How many boys wore T-shirts to the algebra class? Boys wearing T-shirts were what fraction of the students in the class?

Answers

Answer:

¼ of the students

Step-by-step explanation:

½×20 = 10

½ × 10 = 5

[tex] \frac{5}{20} = \frac{1}{4} [/tex]

<3

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Refer the attachment for explanation

Write 8/5 as a mixed number.Select the Hint button to view a hint.----------

Answers

Answer:

1 3/5

Step-by-step explanation:

8/5 has 1 whole; 5/5. If you subtract 5 from 8 you would get 3.

plz help

Factor:
49 − y^2

Answers

answer
(7+y) (7-y)
ahdhhd

giving brainly if you actually checked and didn't guess.
is this correct? specifically not very sure with the 3/7.5 being equal with the rest​

Answers

Answer:

yes that is correct

Step-by-step explanation:

what's the formula for calculating the surface are of a cylinder​

Answers

Answer:

The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 .

Answer:

the surface area of a cylinder:

TSA=2[tex]\pi \\[/tex]r(r+h)

Step-by-step explanation:

5x(x−2)+6x−3(x^2−7)
is equivalent to which of the following expressions?

A) 2x^2+6x−9

B) 2x^2−4x−21

C) 2x^2−16x+21

D) 2x^2−4x+21

Answers

Answer:

D) 2x^2 - 4x + 21

Step-by-step explanation:

5x(x−2)+6x−3(x^2−7) = 2x^2 - 4x + 21

0 = 0

I used a calculator, pls let me know if im incorrect

The given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 5x(x−2)+6x−3(x²−7). The expression will be solved as below:-

E = 5x(x−2)+6x−3(x²−7)

E = 5x² - 10x + 6x - 3x² + 21

E = 2x² - 4x + 21

Therefore, the given expression 5x(x−2)+6x−3(x²−7) will be equivalent to 2x²- 4x + 21. The correct option is D.

To know more about an expression follow

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Find the slope of each graph by comparing the ratio of the rise over the run. (only do #3)

Answers

Answer: undefined

Step-by-step explanation:

Question 3 is undefined.

rise/0 is undefined.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

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