The slope of the line below is -3. Which of the following is the point-slope
form of the line?
-5
5
• (2,-2)

Answers

Answer 1

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

[tex]y-(-2)=-3(x-2)[/tex]

[tex]y+2=-3(x-2)[/tex]

Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].


Related Questions

0.36% as a fraction in simplest form

Answers

Answer: 9/2500

Step-by-step explanation:

We start with turning it into a fraction:

0.36/100

Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)

36/10000

Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:

(36/4)/(10000/4)

= 9/25000

Simplify the fraction to lowest terms.
56/
182

Answers

the answer to your question is 4/13.

A market research firm conducts telephone surveys with a 42% historical response rate. What is the probability that in a new sample of 375 telephone numbers, at least 150 individuals will cooperate and respond to the questions

Answers

Answer:

The right answer is "0.7823".

Step-by-step explanation:

Given that,

P = 42%

or,

  = 0.42

n = 375

[tex]\hat{P}[/tex] = 0.4

The z-score will be:

= [tex]\frac{\hat{P}-\mu_P}{\sigma_p}[/tex]

By putting the values, we get

= [tex]\frac{0.4-0.42}{\sqrt{\frac{0.42\times (1-0.42)}{0.375} } }[/tex]

= [tex]-0.784706[/tex]

hence,

The probability will be:

⇒ [tex]P(\hat {P}>0.04)[/tex] = [tex]P(z>-0.7847)[/tex]

                        = [tex]1-P(z<-0.7847)[/tex]

                        = [tex]1-0.21770[/tex]

                        = [tex]0.7823[/tex]

I NEED HELP NOW MY ASIGNMENT IS DUE BEFORE 8;00 PLZZZ HELP AND PUT A ANSWER THAT HASN'T BEEN USED(05.02)Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.

Answers

Answer:

10 feet

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Area of parallelogram is

A = base of parallelogram x height of parallelogram

= 14 x 12 = 168 sq feet

Break parallelogram down into figures

There would be 2 triangles and 1 square

Area of 1 triangle = 0.5 (3 x 12) = 18

Area for 2 triangles = 2 x 18 = 36

Area of square = base x height

= 11 x 12 = 132

132 + 36 = 168

Area of parallelogram is 168 sq feet

Identify the x-intercept points of the parabola

Answers

Answer:

(3,0) and (-1,0)

Step-by-step explanation:

The X intercept are the point(s) where the line croses the X axis (the horizontal/leftright line). the points for this graphing system are always listed (x,y) so to find a certain point you find the X value then the Y value

The club with an occupancy of 100 will sell out at $25 per ticket. If the owner decides to increase the price by $5, then 2 less tickets will be sold. Determine the revenue function if x is the number of $5 increases.

Answers

Answer:

100 + (5X) = -2X

Step-by-step explanation:

Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:

100 + (5X) = -2X

So, for example, if the price were increased by $ 15, the equation would apply as follows:

15/5 = 3

100 + (5x3) = -2 x 3

100 + 15 = -6

115 = -6

Triangle ABC IS dilated using the origin as the center of dllation to create triangle A'B'C'. What rule best represents the dilation applied to triangle ABC to ​

Answers

The scale factor is 3 so B would be your answer because all coordinates are multiplied by 3

Select the correct answer.
Which expression is equivalent to the glven expression?
(3m-4)^3(3m^5)
A. 81/m^2 B.27/m^7 C. 27/m^2 D.81/m^7

Answers

The answer for this question is D

The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (3m⁻⁴)³ (3m⁵)

Now, We can simplify as;

⇒ (3m⁻⁴)³ (3m⁵)

⇒ (3³m⁻¹²) (3m⁵)

⇒ (27m⁻¹²) (3m⁵)

⇒ 81 m⁻¹²⁺⁵

⇒ 81 m⁻⁷

⇒ 81 / m⁷

Thus, The correct expression which is equivalent to the given expression is,

⇒ 81 / m⁷

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In general, half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers, how many will qualify for the discount

Answers

Answer:60

Step-by-step explanation:

300 of 20% is 60

The number of qualified customers for the discount will be 60.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.

The number of qualified customers will be calculated as below:-

The qualified customers are 20% of 300.

Number = 300 x (20/100)

Number = 300 x 0.2

Multiply the number 330 with 0.2 to get the final value.

Number = 60

Therefore, the number of qualified customers for the discount will be 60.

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Please answer this, I am confused (5^2)(7^2)(3^2)

Answers

Given:

The expression is:

[tex](5^2)(7^2)(3^2)[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex](5^2)(7^2)(3^2)[/tex]

On simplification, we get

[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]

[tex](5^2)(7^2)(3^2)=11025[/tex]

Therefore, the value of the given expression is 11025.

i have two points, (3,5) and (2,18) i need to find the exponential equation using these points. how do i do this?

Answers

Answer:  y = (5832/25)*(5/18)^x

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

Explanation:

Any general exponential function is of the form

y = a*b^x

Plug in (x,y) = (3,5) and we get

y = a*b^x

5 = a*b^3

If you plug in (x,y) = (2,18), then we'll get this other equation

18 = a*b^2

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

So we have this system of equations

[tex]\begin{cases}5 = ab^3\\18 = ab^2\end{cases}[/tex]

From here, we divide the two equations straight down. The left hand sides divide to 5/18. The right hand sides divide to (ab^3)/(ab^2) which simplifies to b. The 'a' terms cancel and we subtract the exponents for the b terms.

Overall, we end up with b = 5/18

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

Use that value of b to find 'a'

18 = a*b^2

18 = a*(5/18)^2

18 = a*(25/324)

18*(324/25) = a

a = 5832/25

You could use the other equation as well to find 'a'

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

Therefore, the equation in y = a*b^x form is y = (5832/25)*(5/18)^x

To verify this, plugging in x = 3 should lead to y = 5. Similarly, plugging in x = 2 should lead to y = 18.

Please, I'm desperate need of help I will mark Brainliest to the one who answers with the full process! Gold will Bless You!

Two angles of a triangle are 85° and 65°, and the longest side of the triangle is 34 cm. How long is the shortest side? Include a labelled diagram.

Answers

Add 65 and 85

65+85= 150

Next subtract 180-150

The answer is 30, so that is the missing angle is 30.

The side opposite to 30 is the shortest side

Here I added the picture!

A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs from the sample mean by 1.5 hours

Answers

Answer:

The Sample Size Need To be at least 114

Step-by-step explanation:

According to the Question,

Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.

The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.

Now, For 99% Confident the level of value α is 0.01.

α/2 = 0.01/2 ⇒ 0.005

Thus, From The table, We get that the value of [tex]Z_{alpha/2}[/tex] is 2.58.

Hence, the sample size n can be found as

n = {[tex]\frac{(Z_{alpha/2} * Standard Deviation)}{E}[/tex]}²

n = {2.58 × 6.2}² / 1.5²

n = 113.72 .

So, The Sample Size Need To be at least 114.

Use slopes and y-intercepts to determine if the lines y=−2/3x+2 and −3x+2y=−4 are parallel.

Answers

Answer:

the answer is no

Step-by-step explanation:

y = -2/3x+2

2y = 3y-4

y = 3/2y-2

but here's a comment: it is perpendicular because it is it's opposite reciprocol

Find the area of a circle with
radius, r = 5.52m.
answer rounded to 2 DP.​

Answers

Answer:

Step-by-step explanation:

Formula = A=πr2

Putting values in the equation

A = (3.14) (5.52)^2

= 95.73

Answer:

95.73

Step-by-step explanation:

2 decimal points is what the question MEANS:

formula for finding a cirlce (and this is not from the internet)

r^2 times pi

(5.52)^2 times pi

which (5.52) squared becomes a sickly: 30.4704 in decimals

lets say you WANT to keep the decimals, then multiply 30.4704 by 3.14159265359 and absolutely get every single decimal place added in and THEN round it to 2 decimal places (once i didn't do this, i got bad grades in math class)

the answer is 95.7255847919

the decimal place of this is 95.73 not 95.72 or something,

the answer is 95.73

En una P.A. el t(18) es 125 y el t(36) es 251. hallar el término que ocupa el lugar 45.

Answers

Answer:

161 correo o no ............

Which expression is equivalent to 5^15 x 5^5

Answers

Answer:

[tex]5^{15} * 5^{5}[/tex]

= [tex]25^{20\\}[/tex]

Simplify (2 1/6 - 1 2/3) - 2 2/3​

Answers

Answer:

[tex]- 2\frac{1}{6}[/tex]

Step-by-step explanation:

[tex](2\frac{1}{6} -1\frac{2}{3}) - 2 \frac{2}{3}[/tex]

[tex](\frac{13}{6} -\frac{5}{3}) - 2 \frac{2}{3}[/tex]

[tex](\frac{13}{6} -\frac{10}{6}) - 2 \frac{2}{3}[/tex]

[tex]\frac{3}{6} - 2 \frac{2}{3}[/tex]

[tex]\frac{3}{6} - \frac{8}{3}[/tex]

[tex]\frac{3}{6} - \frac{16}{6}[/tex]

[tex]- \frac{13}{6}[/tex]

[tex]- 2\frac{1}{6}[/tex]

Factorise 12x3-9x2 please help

Answers

Answer:

18

Step-by-step explanation:

12x3=36=36-9x2=18=36-18=18

Cindy took a multiple choice test. The ratio of number of problems Cindy got incorrect to the number of problems she got correct was 2:6. If Cindy missed 14 problems, how many problems did Cindy get correct?

Answers

Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

Hope this helps!

:)

Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

3.
4.
Every weekend Felicia is paid $30 to do the gardening for her
grandparents. She is saving her money to buy a new bike that
costs $189. So far, she has saved $60.
What is the minimum number of weekends she'll have to
continue to do the gardening in order to have the $189 she
needs for the bike?

Answers

Answer:

5 weekends

Step-by-step explanation:

Felicia already has 60$ of her goal of 189$ so 189-60=129

129/30=4.3

Felicia would need to work exactly 4.3 weekends to make up her goal, but you cant split a weekend into decimals, so we round up to the next whole number which is 5.

Answer:

she needs to work a minimum of 5 weekends

Step-by-step explanation:

60 + 30w ≥ 189

30w ≥ 129

w ≥ 4.3

What is half of 3/4 in fraction?

Answers

Answer:

3/8

Step-by-step explanation:

1/2 times 3/4= 3/8

I would appreciate if someone could answer this

Answers

Answer:

x = 15

LN and MO both equal 43

Step-by-step explanation:

LN and MO are diagonals in rectangle

Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13

Now we solve for x

4x - 17 = 2x + 13

Add 17 to both sides

4x = 2x + 30

Subtract 2x from both sides

2x = 30

Divide both sides by 2

x = 15

Now we want to find the values of LN and MO

To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )

LN = 4x - 17

Substitute 15 for x

4(15) - 17

Multiply

60 - 17

Subtract

LN and MO = 43

I neeed the answer plssss

Answers

Answer:

300km

Step-by-step explanation:

if 1 hr=80

then take 80 and multiply it by 3.75

hope this helps!

please give brainiest if you want<3

Answer:

300km

Step-by-step explanation:

Homework Question Help Pls

Answers

Answer:

3.07091228=x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 21 = x/8

8 tan 21 =x

3.07091228=x

Tell wether x and y show a proportional relationship.

x 1 2 3 4
y 4 8 12 16

Answers

Answer:

They do because y is always 4 times of x.

Step-by-step explanation:

Plz help me simply this

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[5]{u^{10}*p^{15}}*\sqrt[4]{u^{16}*p^{18}}= \sqrt[5]{u^{2*5}*p^{3*5}}*\sqrt[4]{u^{4*4}*p^{16*2}}\\\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*p^{4*4}*p^{2}}\\\\=\sqrt[5]{(u^{2})^{5}*(p^{3})^{5}}*\sqrt[4]{(u^{4})^{4}*(p^{4)^{4}}*p^{2}}\\\\=u^{2}*p^{3} * u^{4}*p^{4}*\sqrt[4]{p^{2}}\\\\=u^{2+4}*p^{3+4}*\sqrt[4]{p^{2}}\\\\= u^{6}p^{7}\sqrt[4]{p^{2}}[/tex]

Sally generates an input-output table using two rules. The input rule is “add 2 2” and the starting number is 3 3. The output rule is “add 4 4” and the starting number is 6 6. The table is shown. ​ ​ Which ordered pairs follow the same rules as the pattern in the table? Select two answer choices. A (9,12)(9,12) B (11,22)(11,22) C (15,25)(15,25) D (17,36)(17,36) E (21,42)(21,42)

Answers

9514 1404 393

Answer:

  B  (11, 22)

  E  (21, 42)

Step-by-step explanation:

The numbers in the input sequence are ...

  [tex]i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1[/tex]

The numbers in the output sequence are ...

  [tex]o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n[/tex]

So, the ordered pairs we're looking for have an output value that is double the input value.

The two that match this characteristic are ...

  B(11, 22) and E(21, 42)

Which equation represents the function y - 5 = –2(x+3) in slope-intercept form?
Oy= 2x + 1
Oy = 2x - 1
Oy= -2x - 1
Oy = -2x + 11
Oy = -23 - 11

Answers

Answer:

-2x-1

Step-by-step explanation:

when you graph the equation it gives you a decreasing slope with the y intercept of -1. the slope is 2 and since its decreasing it is -2. therefore its -2x-1

The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

given that,

the function y - 5 = –2(x+3)

now, we have to find  in slope-intercept form.

now, we have,

function has a decreasing slope with the y intercept of -1. the slope is 2

and since its decreasing it is -2.

again, we have,

y - 5 = –2(x+3)

or, y = -2x - 6 + 5

or, y = -2x -1

here, slope = m = -2

and, y-intercept = c = -1

as, we know that,

slope-intercept form is: y = mx+ c

so, we get,  y = -2x -1

Hence, The solution is, the function y - 5 = –2(x+3) in slope-intercept form is y = -2x -1 .

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NEED HELP DUE IN 3 MINUTES!!!!

Answers

Answer:

y = -1/3 x+9

Step-by-step explanation:

First find the slope between the two points

m = ( -1 -8)/(2 - 5)

    -9/-3

   =3

We want a line that is perpendicular so it is the negative reciprocal

-1 /(3)

The slope of the perpendicular line is -1/3

y= mx+b where m is the slope and b is the y intercept

y = -1/3x+b

We have a point of (6,7)

7 = -1/3 (6) +b

7 = -2 +b

Add 2 to each side

7 +2 = -2+b+2

9 = b

The equation of the line is y = -1/3 x+9

1/3 x9







Bc I need help
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Al precio de un producto se le aplica un descuento del 30% y al nuevo precio otro descuento del 30% cual es el descuento total? Caring for a Pet Including children in caring for a pet can be a positive experience. It teaches children valuable lessons. Abiding by the decision to take care of a pet teaches young children accountability. When they agree to share the responsibilities, they become liable for their pet's livelihood. The 20112012 National Pet Owners Survey reported that "as many as 58 percent of pet owners claimed that caring for their pets taught their children responsibility." There are many age-appropriate tasks that young children can help parents with such as feeding or putting a pet's toys away. Laura Kang, a parent, states, "Sometimes even my most responsible daughter makes mistakes, but I turn these moments into educational ones by coming up with a plan together for how to do better next time." These caregiving tasks also teach children the importance of taking ownership for their actions. Tina Smith, a well-known family counselor, suggests that "showing how children's actions help pets should be celebrated when done right." Another parent, John Wiggin, agrees: "Consequences for not following through with duties should not be a punishment but instead be a teaching moment to help children understand the importance of their responsibility." Their tasks play a huge part in keeping their pet healthy and happy. Some argue that owning a dog is too much work for a child, but the hard work involved is worth the time and effort in the long run. It builds self-confidence and self-esteem that last into their adulthood.Select the correct answer.The author most likely wrote this articleA. to inform the reader that caring for a pet is more difficult than people think.B. to teach the reader about the proper ways to teach children responsibility.C. to entertain the reader with stories about how parents deal with their children.D. to persuade the reader that parents should adopt a pet into their family. Write the sentences into passive. Leave out the agents7. Nowadays, people use machines for doing that work.8. No one can do anything to save him now.9. The factory workers cut the oineapples into cubes.10. We leave the plant in the dark for a few days.11. You ought to report the accident to the police within twenty four hours.12. They have organised the exoedition well.13. He offered me a job in his company, but I refused it.14. They had sent for a doctor, but he had not arrived yet.15. You must check over every figure in the accounts book. 2. 2. A drawing that shows the outline of an object is called 25+ POINTS WILL MARK BRAINLIEST A boat heading out to sea starts out at Point A, at a horizontal distance of 819 feet from a lighthouse/the shore. From that point, the boats crew measures the angle of elevation to the lighthouses beacon-light from that point to be 14 . At some later time, the crew measures the angle of elevation from point B to be 7 . Find the distance from point A to point B. Round your answer to the nearest foot if necessary. The ___ is the center of mass of the triangle.A. medianB. midpointC. orthocenterD. centroid A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple? Find the inverse of f(x) HELP ASAP NEED HELP FRFR The diagram shows a stone tied to a string in circularmotion. If the string breaks, what will be the direction ofmotion of the stone? helppp me doing my homework please A hotel manager records the number of bookings made at various prices during July. what number must you add to complete the square? x^2+28x=11 Write the product in standard form. (2 + 3i)(2 - i) A mi amigo ___ gustan las enchiladas. A. Les B. MeC. Te D. Le 2KClO3 (s)2KCl (s)+ 3O2 (aq) equilibrium constant An aqueous sucrose (C12H22O11) solution must be created for an experiment. If 100.00 mL of 0.200 M solution is needed, what amount of sucrose (in grams) must be weighed out Which are Washingtons major mountain ranges? Check all that apply.Rocky MountainsCascade RangeAppalachian MountainsOlympic MountainsAlaska RangeIM TIMEDDDDDD A sample of gas has a volume of 100. L at 17 C and 800. torr. To what temperature must the gas be cooled in order for its volume to become 50.0 L at a pressure of 600. torr? Your answer will need to be in Kelvin. Source StylesNormalFontSize