Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.

Answers

Answer 1

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]


Related Questions

what value of x makes the equation true x + 10=18

Answers

Answer:

its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again

Step-by-step explanation:

Your answer is X=8

(8)+10= 18

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

13.4 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

12^2 + b^2 = 18^2

144 + b^2 = 324

Now we subtract!!

324 - 144 = b^2

180 = b^2

Now we need to find the square root!!

[tex]\sqrt{180}[/tex] = 13.4

Have an amazing day!!

Please rate and mark brainliest!!

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.

Write the probability as a fraction in simplest form

Answers

11\44 for the dime, and 12\44 for the penny.

Step-by-step explanation:

11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

Use the scale factor 1:8 to find the missing dimension.

Item = baby giraffe
model = height = cm
actual = height = 1.84m

Answers

Answer:

0.23 m or 23 cm

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

1.84 m * 1/8 = 0.23 m or 23 cm
model: actual=1:8model=actual/8

So

Actual=1.84m

Model:-

1.84/80.23m

Hurry ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag contains 6 blue coins and 5 red coins. A coin is removed at random and replaced by three of the other color. What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ...?

Answers

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

4.
Which point on the number line
represents 0.3?

Answers

Answer:

Point C

Step-by-step explanation:

because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3

Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask

Step-by-step explanation:

Hope this helps

-3

Find x . Round your answer to the nearest tenth of a degree.

Answers

Answer:

x ≈ 59.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{18}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{30}{18}[/tex] ) ≈ 59.0° ( to the nearest tenth )

If the population of Alaska in 2000
was 622,000 and 733,000 in 2020,
assuming exponential growth, what
would the population be in 2050?
[ ? ] people

Answers

The number of people by the year 2050 is obtained as 927915 people.

What is the population in 2050?

We know that population is an exponential growth problem in this case. We have to apply the formula;

P = Poe^rt

P = population at time t

Po = Initial population

r = population growth rate

t = time taken

Now;

We have to use the relation to find the growth rate as follows;

733,000 = 622,000 e^20r

733,000/622,000 = e^20r

1.178 = e^20r

ln(1.178) = 20r

r = ln(1.178)/20

r = 0.008

Now;

In the year 2050, we would have;

P = 622,000 e^50 * 0.008

P = 927915 people

Learn more about population growth:https://brainly.com/question/18415071

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The radius of a semicircle is 17 millimeters. what is the semicircle's perimeter?

Answers

Answer:

87.407

Step-by-step explanation:

circumference = 2*pie*r

= 2*pie*17

=106.8/2

=53.4

53.4+(17*2)

=87.4

Answer:

Step-by-step explanation:

it 87.38

TRUST ME

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.

Answers

Answer:

please see photo for detailed analysis

12 minus half the sum of 6 and 4​

Answers

Answer:

7

Step-by-step explanation:

the sum of 6 and 4 = 6 + 4 = 10

half of 10 = 5 (10 divided by 2)

12 - 5 = 7

Take it in steps! Hope this makes sense! If you have further questions, let me know!

- profparis

a brainliest would be appreciated if i helped you! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the expression is 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

12 minus half the sum of 6 and 4​

This can be written as an expression as,

= 12 - 1/2 (6 + 4)

= 12 - 1/2 x 10

= 12 - 5

= 7

Thus,

The value of the expression is 7.

Learn more about expressions here:

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sinxcscx - cos^2x = sin^2x Verify it pls explain how so i know how to do it

Answers

Step-by-step explanation:

sin(x)×csc(x) - cos²(x) = sin²(x)

csc(x) = 1/sin(x) (basic definition)

therefore,

sin(x)×csc(x) = sin(x) × 1/sin(x) = 1

1 - cos²(x) = sin²(x)

1 = sin²(x) + cos²(x)

and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.

Answer number 14. It’s very difficult for me and i need some help.

Answers

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

PLEASE HELP !! #24 & #26

Answers

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

_________________________________________

24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

____________________________________________

25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

_______________________________________________

26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°

A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.

Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice

Answers

No it is not and the reason I say that is because most kids bought lunch. It would not be equal to the others. Less children brought a lunch and got icecream but have more than regular lunch bringers

Solve please will mark brainliest

Answers

hello! for this equation the formula is:
a times (a+b)= c times (c+d)

4 times (4+18)=4 times 22=88
88=6 times (6+x)=6x+36
88=6x+36
88-36=6x
6x=52

x= 8 and 2/3

Mr. Holmes wanted to buy a computer that costs $900 and a printer that costs $250. He has
$100. Write an equation that can be used to find A, the amount of money still needed in order to
buy both the computer and the printer?

Answers

Answer:

900+250-100=1050

Step-by-step explanation:

computer cost plus printer cost subtracting his current amount equals the total amount left he needs to pay for both of the appliances.

Write the following in scientific notation?
(Math 8th)

Answers

Answer:

the answer is 3.25 x 10^-4

Step-by-step explanation:

X-5y= -3

3x-5y=11


please show work

Answers

Answer:

x= -4

Step-by-step explanation:

You need to the elimination method!

x-5y=-3

3x-5y=11

You need to multiply the top by -1

This means every number has to be multiplied by -1 on the x-5y=-3

-x+5y=3

3x-5y=11

The 5y's should cancel out

-x=3

3x=11

Now do -x+3x and 3-11

2x=-8

x= -4

Round 3.993 to the nearest hundredth
A. 3.90
B. 4
C. 3.9
D. 3.99​

Answers

Answer:

Step-by-step explanation:

3.993,

3.99

A card is selected from an ordinary deck. What is the probability of getting king or a queen?

Answers

Answer:

I did jack and ace to

Step-by-step explanation:

Explanation:

A standard deck has 13 ordinal cards (Ace, 2-10, Jack, Queen, King) with one of each in each of four suits (Hearts, Diamonds, Spades, Clubs), for a total of

13

×

4

=

52

cards.

If we draw a card from a standard deck, there are 52 cards we might get.

There are 16 cards that will satisfy the condition of picking a Jack, Queen, King, or Ace.

This gives us:

P

(

randomly draw a Jack, Queen, King, or Ace

)

=

16

52

=

4

13

i need help with this

Answers

Two independent variables that can affect the cost of the supplies are:

x = number of pencils bought.y = number of notebooks bought.

What is an independent variable?

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

x = number of pencils bought.y = number of notebooks bought.

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

https://brainly.com/question/82796

Can someone help me with this question please?

Answers

Answer:

arc RS = 60°

Step-by-step explanation:

the secant- secant angle P is half the difference of ots intercepted arcs, that is

40° = [tex]\frac{1}{2}[/tex] (QT - RS ) ← multiply both sides by 2 to clear the fraction

80° = QT - RS

80° = 140° - RS ( subtract 140° from both sides )

- 60° = - RS ( multiply both sides by - 1 )

60° = RS

The standard trampoline has a diameter of 14 feet. What is its area?

Answers

Answer:

The area is 154 square feet

Step-by-step explanation:

b. Tyler's playlist has 36 songs. Noah's playlist has one quarter as many songs as
Tyler's playlist. How many songs are on Noah's playlist?
w = 4 times 36
w = 36 divided by 4
4w = 36
w/4 = 36

Answers

Answer:

9 songs

Step-by-step explanation:

¼ of 36

¼ × 36 = 9

What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]

What is the value of c if, 2c + 8 = 26 ?

A.
9

B.
42

C.
18

D.
34

Answers

Answer:

Option A

The answer is 9

Step-by-step explanation:

2c + 8 = 26

Subtract 8 from both side we get,

2c + 8 – 8 = 26 – 8

2c = 18

Divide both side by 2 we get,

2c/2 = 18/2

c = 9

Thus, The value of c is 9

2c + 8 = 26
2c = 26 - 8
2c = 18
c = 18 / 2
c = 9

how do you solve -4 + y = 6 and y= 7x - -6 by substitution?

Answers

Answer:

by doing the math

Step-by-step explanation:

do (7x)-(-6) then the other problem and find out witch one is more

Answer:

x=4/7 and y=10

Step-by-step explanation:

To solve for x, we must isolate y in one of the equations to then insert it into the other equation. We can take the first equation, -4 + y = 6, and add 4 to both sides. This gives us y = 4+6, or y = 10. Since y is a variable, we can subsititute 10 into the second equation, y = 7x - (-6), giving us 10 = 7x - (-6). The minus negative six is equal to plus six. This gives us 10 = 7x +6. Now we can solve for x. Subtract 6 from both sides; 4 = 7x. Now to find x, we have to divide both sides by 7. This gives us x = 4/7.

Find the perimeter 8ft 4ft

Answers

THE ANSWER OF 8FT4FT IS 24Ft
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