Write the point-slope form of the equation of the line through the given points.
9) through: (0, 1) and (−3, 2)
10) through: (5, −3) and (0, 3)
11) through: (1, 3) and (1, 1)
12) through: (0, 1) and (1, 5)

Answers

Answer 1

Answer:

  9. y -1 = -1/3(x -0)   or   y -1 = -1/3x

  10. y +3 = -5/6(x -5)

  11. x = 1

  12. y -1 = 4(x -0)   or   y -1 = 4x

Step-by-step explanation:

In every case, the slope is calculated from ...

  m = (y2 -y1)/(x2 -x1)

Then that value is used in the point-slope equation:

  y -y1 = m(x -x1)

__

9) m = (2-1)/(-3-0) = 1/-3 = -1/3

  y -1 = -1/3(x -0)

__

10) m = (3 -(-3))/(0 -5) = 6/-5 = -5/6

  y +3 = -5/6(x -5)

__

11) m = (1 -3)/(1 -1) = -2/0 = undefined

No "y =" equation can be written for a line with undefined slope. The equation for a vertical line through these points with x-coordinate of 1 is ...

  x = 1

__

12) m = (5 -1)/(1 -0) = 4/1 = 4

  y -1 = 4(x -0)


Related Questions

Sausages come in packets of 12. Bread rolls come in packets of 18. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

3 packages of sausages and 2 packages of bread rolls.

Step-by-step explanation:

3 times 12 is 36

18 times 2 is 36

Answer:

the answer is 216

Step-by-step explanation:

12 × 18=?

     1 2

×     1 8

+     9 6

+   1 2  

=  2 1 6

Therefore:

12 × 18 = 216

One box can hold 24 muffins and 7 cups of flour are required to make 9 muffins. How many cups of flour are required?
A. 140/3 B. 94 C. 324/5 D. 280 E. 420
Clearly show the work.

Answers

Hi!

Your answer would be: 10 cups of flour.

Reason being:  You have 8 cups of flour to 24 muffins, which can be shown as 8:24, or 8/24.

You need to find x cups of flour to 30 muffins, which can be shown as x:30, or x/30. You will want to cross multiply.

8 x  24 30

8 x 30 = 24 x X

240 = 24x

10 = x

Therefore, you need 10 cups of flour.

Hope this helps!

Yours truly,

~~~PicklePoppers~~~

A recipe requires 1/5 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Answers

Answer:

1 1/4

Step-by-step explanation:

trust my guy just keep adding until you get 1 cup of milk

Locate some pieces by these artists, or others who work in the same style, and describe what you see. How does the artist use geometry to elicit a feeling or emotion in the viewer? What might be the artist's purpose in creating the work? In your mind, how does geometry contribute to the success or failure of the piece? Do you appreciate this kind of "geometrical" artwork? Why or why not?

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is popular for their conceptual paintings or mathematical works, photographers such as Al Held, Bridget Riley, etc. Riley is known through its craft.  

Many abstract painting forms are famous in addition to optical art. Its creativity and viewer are imbued with such a sense of creativity. To produce a finished piece which reflects a particular thing, its artistic work combines different colors, structure, or materials.

We like this type of art because it is so, pure types, that allows us to understand the forms of art. These forms examine the relationship between shapes, colors as opposed to traditional forms. In contrast, art reflects culture often. Visual art, hence it's important because it represents a community that has moved after 2000 years.

please help me I need the answer please ​

Answers

Answer: I believe it's B, but im not sure.

Step-by-step explanation:

The GCF of 18 and 30 is ____.

Answers

Answer: 6

The factors of 18 are 18, 9, 6, 3, 2, 1. The factors of 30 are 30, 15, 10, 6, 5, 3, 2, 1. The common factors of 18 and 30 are 6, 3, 2, 1, intersecting the two sets above.

Answer:

6

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

what is the y intercept of y=4x

Answers

9514 1404 393

Answer:

  (0, 0)

Step-by-step explanation:

The y-intercept is the value of y where the line crosses the y-axis. In the form ...

  y = mx + b

the y-intercept is the value of b.

Comparing the given equation to this form, we see that b = 0.

The y-intercept is y=0; the point is (0, 0).

for the quadratic equation y= -2(x-5)²+4
identify a h k and list all the transformations
HELP ASAP

Answers

Answer:

a = -2

h = 5

k = 4

Step-by-step explanation:

Transformations

the a represents stretch or compression or a reflection over the x-axis (reflection over x-axis)

the h represents a horizontal shift (moves left 5 units)

the k represents a vertical shift (moves up 4 units)

John and Matt are going to eat at the same restaurant and they are paying separately. Matt ordered 2 burgers and 1 side item, his total was $14.75. John ordered 3 burgers and 2 side items, his total was $24.00.

Write and solve a System of Equations to determine the price of 1 side item.

Answers

Answer:

s = 3.75

Step-by-step explanation:

Let b = price of a burger

Let s = price of a side item

2b+s = 14.75

3b+2s = 24

Multiply the first equation by -2

-4b-2s =-29.50

Add to the second equation to eliminate s

-4b-2s =-29.50

3b+2s = 24

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

-b = -5.50

Multiply by -1

b = 5.50

Now find s

2b+s = 14.75

2*5.50 +s =14.75

11 + s = 14.75

Subtract 11 from each side

s = 14.75 -11

s = 3.75



Helllllppppppppp!!!!! Pleaseeeeeee!!!!!!!!!!!!

Answers

Answer:

x=138

Step-by-step explanation:

68+70+a=180

138+a=180

a=42

180-42=x

x=138

write an equation of the line passing through each of the following pairs of points. (4,-8), (0,2)

Answers

Step-by-step explanation:

m=[tex]\frac{2-(-8)}{0-4}[/tex]=[tex]\frac{10}{-4}[/tex]= -2.5

this may be right but I do not know

-5/6 x=-3 will give Brainly

Answers

Answer:

x = 18/5

Step-by-step explanation:

-5/6 x=-3

Multiply each side by -6/5

-6/5 *-5/6 x=-3*-6/5

x = 18/5

x=18/5 hope this helped:)

What is the quotient of three hundred sixty nine divided by nine

Answers

369/9= 41, 41 is ur answer

Answer:

= 41

Step-by-step explanation:

I swear I almost forgot how to divide lol

Oop--

Need help with the domain and range

Answers

Domain is basically all of x values.

Range is basically all of y values.

That means if you want to find the domain, you can check from the coordinate-x and if you want to find the range, you can check from the coordinate-y.  

As you can see in the graph, there are the colored and non-colored dot. Both present the inequality symbol. If it's a colored circle/dot then it's either ≤ or ≥ but if it is non-colored dot then it's either > or <

From the graph, we can say that the minimum value is at -4 when x = -5

and there is no maximum value considering the x = 1 then y = 7 isn't counted due to being uncolored dot.

As mentioned, Domain is the set of all x values. We check the coordinate-x plane and notice that it begins from x = -5 to x = 1. That means it is -5≤x<1

Remember that the x = 1 one is uncolored so it's either > or < but it is < because 1 has more value than -5. Now we know the domain.

About range, we check coordinate-y plane. It starts from -4 to 7. Therefore, the range is -4≤y<7.

Therefore, Domain is -5≤x<1 and Range is -4≤y<7

An elevator ascends, or goes up, at a rate of 750 feet per minute. Is the height to which the elevator ascends proportional to the number of minutes it takes to get there?

Answers

Answer:

Yes

Step-by-step explanation:

We know this because the proportion can be used to find another answer.

Example:

How many feet did the elevator ascend in 0.25 minutes?

 750           x

---------- = ----------

    1           0.25

750(0.25) = 1x

187.5 = x

***Sorry about the format. Hope this helps!

Nicole bought 23 chicken wings for $34.50. How much does each wing cost?

Answers

Answer:

A 1.50$ for each chicken wing.

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

34.50 divided by 23 = 1.50

Help me please with this

Answers

Answer:

x = 9

Step-by-step explanation:

Answer:

that's what I got

Step-by-step explanation:

I don't know if it's right to be honest

McKenna and Lara work for their uncle Eddie, who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the Amazon. He asks the girls to order 54 new wheels for the 21 skateboards and bicycles in his repair shop. How many bicycles and how many skateboards are in Uncle Eddie's shop? From the list of facts, circle those you need to solve Lara and McKenna's problem. McKenna and Lara's uncle is named Eddie. There are 21 skateboards and bicycles in the shop. Uncle Eddie went on a trip. A bicycle has two wheels, and a skateboard has four wheels. 54 new wheels are needed. How many bicycles and how many skateboards are in the shop? Show your work.

Answers

Answer:

There are 21 skateboards and bicycles in the shop.

A bicycle has two wheels, and a skateboard has four wheels

54 new wheels are needed

Number of bicycles = 15

Number of skateboards = 6

Step-by-step explanation:

Number of bicycles and skateboards = 21

Number of new wheels ordered = 54

Number of wheels in a bicycle = 2

Number of wheels in a skateboard = 4

Number of skateboards and bicycles in shop?

Let number of bicycles = b

Number of skateboards = s

b + s = 21 - - - (1)

(2*b) + (4*s) = 54

2b + 4s = 54 - - - - - - (2)

From (1)

b = 21 - s

2(21 - s) + 4s = 54

42 - 2s + 4s = 54

42 + 2s = 54

2s = 54 - 42

2s = 12

s = 6

From : b = 21 - s

b = 21 - 6

b = 15

Number of bicycles = 15

Number of skateboards = 6

The volume of a gas at 19 pounds per square inch pressure is 3 liters. If the gas is compressed into a 750-milliliter container, what will be the pressure of the gas?

Answers

Answer:

76psi

Step-by-step explanation:

P1 x V1 = P2 x V2

P1=19psi

P2=

V1=3L

V2=750ml (0.75 L)

19x3=0.75

=76

Maylin goes to her local sporting goods store to buy socks and jogging shorts. Socks cost​ $10 per pair and jogging shorts cost​ $15 each. At her current consumption bundle pair of 4 pairs of socks and 2 jogging​ shorts, her marginal benefit from the last pair of socks is 20 and the marginal benefit of the last jogging short is 30. Maylin should​ ________.

Answers

Answer:

Maylin should purchase one unit of each socks & jogging shorts.

Step-by-step explanation:

In case of two goods, consumer is at equilibrium when marginal utility per dollar spent on last unit of the goods are equal, ie MU 1 / P1 = MU 2 / P2 (MU are the marginal utilities / marginal benefit of two goods, P are the price of two goods)

Given : MU1 (So) = 20, MU2 (JSh)  = 30, P1 (So) = 10, P2 (JSh) = 15

So, equilibrium is at where MU1 (So) / P1 (So) = MU2 (JSh) / P2 (Jsh)

20/10 = 2, & 30/15 = 2.  MU's per dollar are equal for both.

So Maylin is in equilibrium, she should purchase one unit of each socks & jogging shorts.

The consumption schedule for Maylin is given as

4 pairs of socks at $10 per pair

2 jogging shorts at $15 per short

Marginal benefit from socks = MUs = 20

Marginal benefit from socks = MUj = 30

To maximize utility. The necessary condition =

[tex]\frac{MUs}{Ps} =\frac{MUj}{Pj} \\\\\frac{20}{10} =\frac{30}{15}[/tex]

2 = 2

The condition is fulfilled because the utility maximization is met.

Therefore Maylin should leave her consumption bundle unchanged.

Read more on https://brainly.com/question/11940499?referrer=searchResults

A glass containing soda was 5/8 full what percentage is equivalent to the fraction of the soda in the glass

Answers

Answer:

62.5%

Step-by-step explanation:

5/8 as a precentage = 62.5%

Answer:

62.5%

Step-by-step explanation:

Do 1/8 which equals 12.5 then multiply by 5

what is 24+6k<-6(-4-k)?

Answers

Answer:

This problem has no answer.

Step-by-step explanation:

24+6k<-6(-4-k)

24+6k<24+6k

24-24<6k-6k

0<0k

This problem has no answer.

Which ordered pair is a solution of the equation?
2 + 7y=17

Answers

Answer:

y=2 and 1/7

Step-by-step explanation:

the solution is not an ordered pair

Diana usually drives at average rate of 30 mph.

Yesterday she drove for 2 hours and 40 minutes. What distance did she cover yesterday?

Answers

Answer:

80 miles

Step-by-step explanation:

The distance is 80 miles she have covered. The distance or separation in space between two objects, points, lines, etc.;

What is meant by  distance?

The distance or separation in space between two objects, points, lines, etc.; the separation of one item from another in space; remoteness. The distance of seven miles cannot be covered in one hour of walking.

We must measure distance in order to compute other things like speed, travel time, and many other things. It assists us in making decisions based on distance (which is crucial when it comes to space flight).

Given ,

She drive 2 hours and 40 minutes

Distance = 40*2

= 80 miles

Therefore 80 miles she covered distance.

To learn more about distance refer to:

https://brainly.com/question/26046491

#SPJ2

Nicole has $25 to spend on dinner for herself. Tax on her meal is 5.5%, and she wants to tip 20% on the amount of her meal only. Which of the following amounts Nicole could spend on her meal, while still staying under budget after tax and tip are added

Answers

Answer:

The meal must cost less than or equal to 19.92

Step-by-step explanation:

Let x be the cost of the mean

First find the tax

tax = x* 5.5%

     =.055x

Then find the tip

tip = x * 20%

tip = .20x

Add the total cost together

total cost = meal + tax + tip

               =x + .055x + .20x

              =1.255x

This must be less than or equal to 25

1.255x ≤ 25

Divide each side by 1.255

1.255x/1.255 ≤ 25/1.255

x ≤ 19.92

A community pool offers two types of memberships: monthly and yearly. At the beginning of the year the ratio of monthly to yearly was 10:3. However the pool offered an incentive to have members change to the yearly membership. After the incentive the ratio was 5:8. If there were 59 monthly members after the incentive, then there were how many monthly members before the incentive?

Answers

Answer:

There were 118 monthly members before the incentive

Step-by-step explanation:

Let the total number of incentive

Monthly membership after incentive = a

Yearly membership after incentive = b

a/b = 5/8

We are told in the question that: 59 monthly members after the incentive,

5/8 = 59/b

Cross Multiply

5b = 59 × 8

b = 59 × 8/5

b = 472/5

b = 94.4

Therefore, number of yearly members = 94.4

Total number of Membership after incentive

= 94.4 + 59

= 153.4

Note that total number of members before incentive = total number of members after incentive

From the question, At the beginning of the year the ratio of monthly to yearly was 10:3.

Monthly membership after incentive = a

Yearly membership after incentive = b

a/b = 10/3

10b = 3a

b = 3a/10

a + b = 153.4

a + 3a/10 = 153.4

10 × a + 3a × 1/ 10 = 153.4

10a + 3a = 10 × 153.4

13a = 1534

Divide both sides by 13

a = 1534/13

a = 118

Therefore, the number of members before monthly incentive = 118

HELP PLEASE!! will Mark brainliest!!!


K (-3, 6) and K' (-7, 14). What is the scale factor between the points?

answer options:
SF = -7/3
SF = 7/3
SF = 3/7
SF = -3/7

Answers

Answer:

sf=3/7

..................

Reuben has 26 new magazines to read.
Let M be the number of magazines he would have left to read after reading R of them.
Write an equation relating M to R. Then use this equation to find the number of magazines he would have left to read after reading 21 of them.
Equation:
Nomber left to read after reading 21 of them: magazines

Answers

Answer:

5

Step-by-step explanation:

So the total number of magazines he has to read are 26

He has read R magazines = 21 magazines

So the equation relating M to R is

m + r = 26

We also know that r = 21

Hence, m + 21 = 26

subtract 21 from both sides

m = 5

The equation is m + r = 26

And, the number of magazines should be 5

Calculation of the number of magazines:

Since Reuben has 26 new magazines to read

And, here  M be the number of magazines he would have left to read after reading R

So here the equation is m + r = 26

Since r = 21

So, m + 21= 26

m = 5

Learn more about an equation here: https://brainly.com/question/24766671

A tourist calculated that if he walks to the railroad station with a speed of 4 mph, he’ll miss the train by half an hour, but if he walks with a speed of 5 mph, he’ll reach the station 6 minutes before the departure of the train. What distance does the tourist have to cover?

Answers

Answer: 12 miles

Step-by-step explanation:

speed

=

distance

/time

The tourist says that if his speed is  4  mph

, then he will be 30 minutes late (which is 0.5 hours). This means that he will travel  d  miles in  t+0.5  hours.

4=d/t+0.5

The tourist also says that if his speed is  5  

mph, then he will be 6 minutes early (which is 0.1 hours). This means that he will travel d  miles in  t

0.1  hours.

5=d/t−0.1

Multiply by the denominator to get 4t+2=d, and 5t-0.5=t.

We know that the two equations are equivalent, so

4t+2=5t-0.5

Simplify

t=2.5

Plug it in to the distance formula

4t+2=d

d=12

The tourist covers 12 miles.

Give Branliest if this helped!

Answer:

12 cause rssm

Step-by-step explanation:

i do rsm and it worked

4 has three factors,it’s factors from least to greatest

Answers

Answer:

1, 2, 4

Step-by-step explanation:

1x4=4

2x2=4

Answer:

1,2,4

Step-by-step explanation:

1 x 4 = 4

2 x 2 = 4

So the factors are 1, 2, 4

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