Write a point-slope equation for the line ?

Write A Point-slope Equation For The Line ?

Answers

Answer 1

Answer:

Point-slope equation for the line is

[tex]y-2= -\frac {3}{2} (x -0)[/tex]

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

[tex]y-y_1=m(x-x_1)[/tex]  ---------- (1)

Here

Slope            [tex]m=-\frac{3}{2}[/tex]  

Any Passing Point     [tex](x_1, y_1) = (0, 2)[/tex]

Substituting values in equation (1)

[tex]y-2= -\frac {3}{2} (x -0)[/tex]


Related Questions

name the type of transformation that maps the pre-image, ABC, to the image, A'B'C'. show your work​

Answers

Answer:

reflection across y translate 1 unit to the right translate 6 units down

Step-by-step explanation:

Rosie and Dan share some sweets. Dan gets 1/4 of the sweets. Write down the ratio of the number of sweets Rosie gets to the number of sweets Dan gets

Answers

Answer: 3:1

Step-by-step explanation:

Given:

Rosie and dan share some sweets.

Dan gets ¼ of sweets

To find:

Write down the ratio of the number of sweets Rosie to the number of sweets Dan gets

the ratio of the number of sweets Rosie gets to the number of sweets Dan gets is → 3 : 1.

3:1 because she is left with 3/4 of the sweets which is 3 times what Dan got. If you need to put it in fraction form it’s 3/1

Enlargement or reduction?

Answers

Answer:

Reduction

Step-by-step explanation:

so, the blue shape's letters  are E, F, G, H and I.

the green shape's letters are E', F', G', H', and I'.

the letters with the '  are the ones that are after the origianal.

:) hope i helped

Answer:

enlargement i think

Step-by-step explanation:

24 points need help with math

Answers

Answer:

43

Step-by-step explanation:

3x - 17 and x - 9 are on a line together, so they add up to 180.

3x + 17 + x - 9 = 180

Then, you can solve the equation:

4x + 8 = 180

4x = 172

x = 43 degrees

28 is 12 less than k.

Answers

Answer:

k=40

Step-by-step explanation:

subtract 12 from k we would get 28

Think of a multiplication to complete 6+6+6=​

Answers

Answer:

6x3=18

Step-by-step explanation:

Answer:

The expression in multiplication would be 6*3.

Step-by-step explanation:

We know this because 6+6+6=18 and 6*3=18

Use the distributive property to express 36 + 16. *
2 (18 + 9)
3 (12 + 6)
4 (8 + 5)
4 (9 + 4)

is it a b c or d

Answers

Answer:

it is c

Explanation:

hopes it helps

The answer is D its not C

If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?

Answers

Answer:

nub 5

Step-by-step explanation:

The Least Common Multiple, LCM, also known as the Lowest Common Multiple or  Least Common Divisor, LCD, of two numbers is the smallest natural number that can be divided evenly by either of the two numbers

The numbered spot at which all the runners will be next to one another is spot 19

Reason:

The given parameters, starting from the runner on the outer track are;

Number of spaces covered by the runner on the outer track, n₁ = 5 spaces

Number of spaces covered by the next inner runner, n₂ = 1 space

Number of spaces covered by the next inner runner, n₃ = 3 spaces

Number of spaces covered by the next runner, n₄ = 2 spaces

The numbered spot at which all the runners will be next to one another = Required

Solution:

A spot where all the runners will be next to one another is given by the Lowest Common Multiple, LCM, of their speeds or number of spaces traveled in the same time as follows;

The LCM of 5, 1, 3, and 2 = 5 × 1 × 3 × 2 = 30

Therefore, when the first runner runs 30 spaces, we have;

[tex]Time = \dfrac{30}{5} = 6[/tex]

The time taken is 6 time units

The point the runner stops is at space 30- (30 -19) = Spot 19

New location of the first runner = Spot 19

The distance traveled by the runner 2 at the same time is 6 × 1 = 6

∴ The distance traveled by the runner 2 at the same time = 6 spaces

New location of the second runner = 6 Spaces + Spot 13 = Spot 19

The distance traveled by the runner 3 at the same time is 6 × 3 = 18

∴ The distance runner 3 travels at the same time = 18 spaces

New location of the third runner = 18 Spaces + Spot 1 = Spot 19

Runner 4 travels a distance at the same time of  6 × 2 = 12

∴ Distance runner 4 travels = 12 spaces

New location of runner 4 = 12 spaces + Spot 7 = Spot 19

Therefore;

The numbered spot at which all the runners will be next to one another is spot 19

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Find the value of the variables. Diagram above.
Tysm please help very urgent!

Answers

Answer:

If you look at the different triangles in the star they give you two angles....

all of the points in a triangle would be equal and you just subtract  24 from 105

x is 24 and y is 81

Step-by-step explanation:

WILLL GIVE BRAINLEST
WILL GUVE BRAINLEST
Photo is attached!! Thanks I appreciate if u help

Answers

Answer:

1 false

2 true

3 true

4 false

5 true

Step-by-step explanation:

f(a) = (2a - 7 + a^2) and g(a) = (5 – a).

1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial

When added together, they will be a second degree polynomial

2. true  When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction

3.  true  f(a) + g(a) = (2a - 7 + a^2) + (5 – a)

Combining like terms = a^2 +a -2

4.  false   f(a) - g(a) = (2a - 7 + a^2) - (5 – a)

Distributing the minus sign (2a - 7 + a^2) - 5 + a

Combining like terms  a^2 +3a -12

5.  true  f(a)* g(a)  = (2a - 7 + a^2)  (5 – a).

Distribute

                      (2a - 7 + a^2)  (5)  – (2a - 7 + a^2)  (a)

                       10a -35a +5a^2 -2a^2 -7a +a^3

Combining like term

-a^3 + 3 a^2 + 17 a - 35

Simplify the equation 8+2d-7+5d

Answers

Answer:  15d-7

Step-by-step explanation:

hope it's helpful ❤❤

THANK YOU.

2) An $80 text book was on sale for $49.60 at the used book store. By
what percent did the book decrease in price?

Answers

Answer:

38%

Step-by-step explanation:

Original price = $ 80

Price after reduction = $ 49.60

Reduction = 80 - 49.60  = $30.40

Percentage of decrease = [tex]\frac{reduction price}{original price}*100[/tex]

                                         [tex]= \frac{30.40}{80}*100\\\\=\frac{3040}{80}[/tex]

                                          =  38%

Answer:

38%

Step-by-step explanation:

80x0.62=49.60

c) If f(3x + 4)=5x + 8, find f '(x) and f(3)​

Answers

Answer:

f(3x + 4) = 5x + 8

⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+\frac{24}{5})[/tex]

⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+4+\frac{4}{5})[/tex]

⇒ f'(x) = [tex]\frac{5}{3}(x+\frac{4}{5})[/tex]

=> f(3) = [tex]\frac{5}{3}(3+\frac{4}{5})= \frac{19}{3}[/tex]

Step-by-step explanation:

Isaiah has h baseball cards. Michael gas 7 more baseball cards than Isaiah. Write an expression for the number baseball cards that Michael has in terms of h

Answers

Answer:

h + 7

because if Michael has 7 more than you just add 7 to Isiahs unknown

(06.02)A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation.

The experimental probability and relative frequency are the same.
The experimental probability is larger than the relative frequency.
The experiment probability is smaller than the relative frequency.
There is not enough information to determine the relative frequency.

Answers

Answer:  The experimental probability and relative frequency are the same.

Step-by-step explanation:  In the question it ask you to compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number. If you compare these two things the outcome would be the same because these two terms are the same thing.

Look at the examples provided below:

"Example: you conduct an experiment where you flip a coin 100 times. ... So the experimental probability of getting tails in 100 trials is 53%, and 47 for getting heads in 100 trials."

Experimental probability

During the party, Scoundrel offered her left paw 62.5% of the time.

62.5% • 100 = 0.625 • 100 = 62.5 times.

it wouldn't make sense to offer a paw 0.5 times, so round 62.5 to 63. After 100 trials, Jenna can expect that Scoundrel will offer the left paw 63 times.

Hope this helps im new btw :D

Answer:

i thought it was b pls help :/

Step-by-step explanation:

If one of the 255 subjects is randomly selected, find the probability that the person is under 21 years of age. State answer as a simplified fraction.

Answers

under 21 years of age= 40     25         20  tot= 85

between 21 and 40=     35     20         30  tot = 85

       over 40=               20     30         35   tot = 85

If one of the 255 subjects is randomly selected

P (over 40) = 85/255 = 1/3

Hope this helps!

Which one is a composite number? I need answers asap!
21
37
29
41

Answers

It’s 21.
I can comment you a list of number that are composite of you need.


If x = 20 feet and y = 12 feet, what is the area of the figure above? Use 3.14 for pie

Answers

Radius of of circle = y/2 = 6
Area of semicircle = πr^2/2 = 3.14*6^2/2 = 56.52 square feet
Area of rectangle = xy =240 square feet
Area of figure = 240 + 56.52 = 296.52 square feet


1. Solve: 6x - 12 < 6
2. Solve: 2(3x-8) >8

Answers

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

[tex]\frac{6x}{6}<\frac{18}{6}[/tex]

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

[tex]\frac{6x}{6} >\frac{24}{6}[/tex]

answer

x>4

2/3 divided by 6 is?​

Answers

2/18

Multiple the numerator by 6.

Answer:2/3 divided by 6 would be 2/18 but if u simplified it would be 1/9

If u don’t believe me here’s a quick check

Step-by-step explanation:

Find the slope of the line y =7/8x- 9/5. Simplify your answer and write it as a proper fraction, improper fraction or integer

Answers

Answer:

7/8

Step-by-step explanation:

The coefficient of x is the slope, so 7/8.

find value of x supplementary pair

Answers

Answer:

x=70

Step-by-step explanation:

Because the pair is a supplement, it should add up to 180°, so that means that (2x+6)+34=180

Answer:

[tex]x=70[/tex]°

Step-by-step explanation:

Supplementary angles are a pair of angles that form a linear pair, or a straight angle/line, and their measure sum to [tex]180[/tex]°. We are given a pair of supplementary angles with measures of [tex](2x+6)[/tex]° and [tex]34[/tex]°. Therefore, all we have to do to find the value of [tex]x[/tex] is set the sum of the given angles' measures to [tex]180[/tex]°. In an equation, that would be:

[tex]2x+6+34=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]2x+6+34=180[/tex]

[tex]2x+40=180[/tex] (Simplify LHS by combining like terms)

[tex]2x+40-40=180-40[/tex] (Subtract [tex]40[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=140[/tex] (Simplify)

[tex]\frac{2x}{2} =\frac{140}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=70[/tex]° (Simplify)

Hope this helps!

Asanji's school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 1 adult ticket and 1 student ticket for a total of $18. The school took in $57 on the second
day by selling 3 adult tickets and 4 student tickets. Find the price of an adult ticket and the price
of a student ticket.

Answers

Answer:

j

Step-by-step explanation:

Answer: The price of adult ticket is $ 13and child ticket is $12.Hope this will help u.....

Step-by-step explanation:

SIMPLIFY -3/4( 8/9Y - 18) - 3/5(5/6Y + 25)?

Answers

Answer:

I believe the answer is

-7y+9/6

Answer:

-7/6 y -3/2

Step-by-step explanation:

Maria got 3 out 5 questions correct on her Social Studies quiz. What percent did Maria receive on her quiz?

Answers

Answer:

her grade would be 60

Step-by-step explanation:

each question would be 20 points so you just add up what she got correct and you would get 60.im pretty sure I'm correct but if sorry.bye!

Please help me. It’s system of equations i really need the steps to it too. Please help me.

Answers

Step-by-step explanation:

The given equations are :

x-3y=-4 ....(1)

3x-9y=-12 ...(2)

Multiply equation (1) by 3.

3x-9y=-12 ....(3)

Subtract equation (2) from (3).

3x-9y-(3x-9y) = -12-(-12)

In these equations,

[tex]\dfrac{1}{3}=\dfrac{1}{3}=\dfrac{1}{3}[/tex]

It means the given system of equations have infinitely many solutions. The lines are coincident.

Over the past 40 years, the percentage of homes in the United States with smoke detectors has risen steadily and has plateaued at about 95% (National Fire Protection Association website, January, 2015). With this increase in the use of home smoke detectors, what has happened to the dea rate from home fires? The DATAfile SmokeDetectors contains 17 years of data on the estimated percentage of homes with smoke detectors and the estimated home fire deaths per million of population. Click on the datafile logo to reference the data. DATA file
a. Do you expect a positive or negative relationship between smoke detector use and deaths from home fires? Why or why not? The input in the box below will not be graded, but may be reviewed and considered by your instructor_________.
b. Compute the correlation coefficient (to 4 decimals). If required enter negative value as negative number.
Is there a positive or negative correlation between smoke detector use and deaths from home fires?

Answers

Answer:

A. Negative correlation

B. Data isn't given

Step-by-step explanation:

A. A positive correlation occurs when variables that are related(not zero correlation)increase together, in other words variable a(independent variable) increases and makes variable b(dependent variable) increase too. There will be a negative correlation if the opposite happens, that is when variables that are related go in opposite directions, one increases while the other decreases. We observe from what we are told that a negative correlation occurs here since death rate from fires has likely(assumed) decreased as smoke detectors have increased.

Find the centroid of AABC if
A = (1, 1), B = (4, 5), and C = (4, 6).
([?], [ ]
pls help lol

Answers

9514 1404 393

Answer:

  (3, 4)

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  Q = (A + B + C)/3

  Q = ((1, 1) +(4, 5) +(4, 6))/3 = (1+4+4, 1+5+6)/3 = (9, 12)/3

  Q = (3, 4)

The centroid is (3, 4).

Find the area? Helppp helpppp

Answers

Xhkalsndhdilekehdjhsowlwsks

part c answer please wali p ok khanakeen

Answers

Answer:

c

Step-by-step explanation:

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