Which of the following is an equation of the line through (2,3) and (-1, -12)?

Which Of The Following Is An Equation Of The Line Through (2,3) And (-1, -12)?

Answers

Answer 1

Answer:

C (y=5x-7)

Step-by-step explanation:

First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.  

You then find it's y=5x-7.


Related Questions

The line passes through the points (3, 7) and (4, 9)

Answers

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but is twice as tall. How is the volume affected by the change in the dimensions? (PLEASE HELP!)

Answers

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |

Answers

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252

Which describes the correlation shown in the scatterplot?

Answers

Answer:2,4

Step-by-step explanation:

The mathematics faculty at a college consists of 7 ​professors, 4 associate​ professors, 4 assistant​ professors, and 6 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor.

Answers

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

A scale of 3

Step-by-step explanation:

dd2d2de2f3f

find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0​

Answers

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.

Answers

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

Calculation of interest rate percentage of an account

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

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Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.

Answers

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

To learn more about  Convergent integral :

Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.

Answers

Answer: $240.75

Step-by-step explanation:

hi can I send a screenshot?​

Answers

Answer:

Yeah

Step-by-step explanation:

☁️ Answer ☁️

Yes! Send a screenshot and ask ur question

PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.

Step-by-step explanation:

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?

100 POINTS

Answers

Answer:

Step-by-step explanation:xmccc

Truck speed be x
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56

Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour

Daria rolls a number cube. What is the probability that it will land on a 1?

Answers

Answer:

1 out of 6 or 16.7%

Step-by-step explanation:

def one out of 6 or 16.7%

Select the correct comparison

Answers

Answer:

b

Step-by-step explanation:

The answer is B. The typical value is greater in set B. The spread is greater in set A

For the following set of data, find the mean, median and mode.
age of children Danielle babysits:
6,9,2,4,3,6,5
(3 Points)
Mean = 4 years old
Mean = 5 year old
Mean = 9 years old
Mode = 2 years old
Mode = 6 years old
Mode = 9 years old
Median = 4 years old
Median = 4.5 years old
Median = 5 years old

Answers

Mean = 5 it’s the average. Total/7
Mode = 6 what number occurs most often
Median = 5 line them up smallest to highest, whats the middle number?

20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)

Answers

What????? Um I’m so sorry I don’t know

Answer:

315.5cubic in

10.4 x 4.5 x 6.5=

Step-by-step explanation:

606 divided by 49 in long division ​

Answers

12.(367346938775510204081632653061224489795918) = 12 remainder 18

Answer:

12 <----

Step-by-step explanation:

the remainder is 18 but the answer is 12 and the full thing would be

------> 6.18367346939

GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?

Answers

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

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Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!




B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!​

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS

Answers

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

determine if the work for each problem is correct correct only errors and explain your thinking ​

Answers

Answer:

v= BH

the second part is wrong the base is 7.5 not 9.5

so the base look like this

v = 7.5(13)

v = 97.5

Step-by-step explanation:

How much Hundreds equal 28?

Answers

Answer:

0.28

Step-by-step explanation:

0.28*100=28

Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi

Answers

It’s not periodic hope this helps

The function g is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
g(x) = 3x² + 6x - 9
g(x) = 3(x + 1)² – 12
-
g(x) = 3(x+3)(x - 1)
What is the y-intercept?
y-intercept = (0,

Answers

The form of the function that most quickly reveals the y-intercept is the second form:

[tex]g(x)=[/tex] [tex]3(x+1)^{2} - 12[/tex]

To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:

[tex]g(0)=3(0+1)^{2} -12[/tex]

     [tex]=3(1)^{2} -12[/tex]

     [tex]=3-12[/tex]

     [tex]=-9.[/tex]

Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.

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-9b+2n-4+2b

Solve please

Answers

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

-7+2n-4 is your answer

olve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices {Select All That Apply}

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

complete the table for the equation

Answers

Answer:

(2,5)

(3,-4)

(4,-7)

(5,-4)

(6,5)

Sinx-sin3x /sin^2x -cos^2x

Answers

The answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x). To simplify the given expression, we can use the identity sin 2x = 2sin x cos x.

Substitute the numerator with sin x - sin 3x. Substitute the denominator with sin² x - cos² x to get a common factor.

Substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - cos² x - cos² x).Then substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - 2 cos² x).

Now, use the identity sin 2x = 2sin x cos x to simplify the numerator. sin x - sin 3x can be written as sin x - sin (x + 2x) which equals sin x - [sin x cos 2x + cos x sin 2x].

Now, simplify the expression: sin x (1 - cos² x - cos² x) - sin x cos 2x - cos x sin 2x. We will simplify this expression further, leading us to get sin x (1 - 2 cos² x) - sin 2x cos x.

Finally, the expression becomes sin x (1 - 2 cos² x) - sin 2x cos x / (1 - 2 cos² x). Therefore, the answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x).

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What adjusted basis does Wizard Corporation take in the land and building received from Hermione? (Do not round intermediate calculations.)Assume Hermiones adjusted basis in the land was $280,000. f. What amount of gain or loss does Hermione realize on the formation of the corporation? What amount, if any, does she recognize? (Do not round intermediate calculations.)Assume Hermiones adjusted basis in the land was $280,000. g. What adjusted basis does Wizard Corporation take in the land and building received from Hermione?Assume Hermiones adjusted basis in the land was $420,000. h. What amount of gain or loss does Hermione realize on the formation of the corporation? What amount, if any, does she recognize?Assume Hermiones adjusted basis in the land was $420,000. i. What adjusted basis does Wizard Corporation take in the land and building received from Hermione? if a stepper motor is currently at state 1001 for windings a, b, c and d respectively, what is the next state required in order to progress the motor counter-clockwise? a) 0011. b) 1001. c) 1100. d) 0110. Identify a true statement about premarital education programs. Multiple Choice a) They tend to hinder the level of communication between couples. b) They are linked to a lower level of marital satisfaction. c) They tend to increase the likelihood of divorce. d) They are linked to a higher level of commitment to a spouse. Project A requires a $280,000 initial investment for new machinery with a five-year life and a salvage value of $30,000, Project A is expected to yield annual income of $20,000 per year and net cash flow of $70,000 per year for the next five years. Compute Project A's accounting rate of return. Select a person with a sufficiently diverse ethnic/racial/nationality background to provide adequate material for you to evaluate. It is your responsibility to select an appropriate example. Professional athletes are a good source, since international athletes may be affiliated with yet a third country (see ties column). A quick way to get started is by googling multi-ethnic (whichever category you want to explore: athletes, actors/musicians, entrepreneurs, etc.).Examples you may wish to consider:Giannis Sina Ugo Antetokounmpo (basket ballplayer)Kamala Harris (Vice-President), Tiger Woods(golfer) or .?It can also be someone you know a friend, your family or you!In 250 - 300 words, address the following topics:1. Briefly introduce the person you selected.Who is this individual? Why did you select them?What are they known for if they are a celebrity?2. Make connections to the course material. Plan to use and bold at least 4 terms from your Race & Ethnicity ToolkitIdentify and describe how nationality, ethnicity, race (categories introduced in the Jellybean video) apply to your study individual.Have these labels for this person changed over their lifetime, due to migration or shifting cultural views? Since these stories are often multi-generational, you may include this persons parents/family. Are some categories more permanent/ less permanent?Do these categories all agree? Is their nationality the same as their race the same as their ethnicity?Is one of these categories more likely to determine this persons social identity than their other categories? Why? What is societys reaction to these categories (for example, prejudice, discrimination)? What has been this individuals response (for example, agency, resistance)?3. Evaluate culturally constructed categories and scientific biological explanations of human diversity.How well do each of these perspectives work? Do they clarify or confound?How reliable are each of these two systems of classification at providing an understanding of modern human diversity?What is the function of culturally constructed frameworks of biological diversity?4. Reflect: What do you think?What were the two most interesting things you learned? Why was it interesting?How has your knowledge or perspective changed?What is one thing you would like to learn more about? what kind of investment stock does Amazon have? The "Social System" component of IHI's Framework for Spread is best defined as:(A) Understanding the relationships within the system(B) Identifying a target population for the spread project(C) Assessing and identifying worthwhile innovations(D) A method of tracking and monitoring progress