Find the distance from G(-3, -1) to the line whose equation is y = 4

Answers

Answer 1

The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5

How to find the Distance of a Line?

We are given the coordinate of point G as G(-3, -1).

We want to find the distance between that coordinate and the line y = 4.

Comparing the line with the equation Ax + By + C = 0 gives;

B = 1 and C = -4

Now, Equation for distance between line and coordinate axes points is;

d = |Ax + By + C|/√(A² + B²)

Thus;

d = |0(-3) + 1(-1) - 4|/√(0² + 1²)

d = |-5|

Since absolute value, then d = 5.

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Related Questions

If the absolute value of x is 4, what is the value of x?

A) -16 or 16
B) -4
C) -4 or 4
D) 4

Answers

X = -4 or 4. :)))))))

the correct answer is option C) - 4 or 4.

If the absolute value of x is 4,

| x | = 4

it means that x can be either positive or negative, but its distance from zero is 4 units.

This indicates that x can be 4 units to the right of zero or 4 units to the left of zero.

x = ± 4

Therefore, the possible values of x are - 4 and 4.

Thus, the correct answer is option C) - 4 or 4.

Both - 4 and 4 have an absolute value of 4, fulfilling the condition specified in the problem statement.

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Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.

Answers

Answer:

The two angles are supplementary

Step-by-step explanation:

Not sure if this is an option, but it would make sense with the question

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.

The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.

The diagram is given below.

More about the angled link is given below.

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Research shows that many banks are unwittingly training their online customers to take risks with their passwords and other sensitive account information, leaving them more vulnerable to fraud (Yahoo, July 23, 2008). Even web-savvy surfers could find themselves the victims of identity theft because they have been conditioned to ignore potential signs about whether the banking site they are visiting is real or a bogus site served up by hackers. Researchers at the University of Michigan found design flaws in 78% of the 214 U.S. financial institution websites they studied.

Required:
Is the sample evidence sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud? Use a 5% significance level for the test.

Answers

Answer:

Decision rule

Fail to reject the null  hypothesis

Conclusion

The sample evidence is not sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  214

   The sample proportion is p = 0.78

   The level of significance is [tex]\alpha = 0.05[/tex]

Generally the population proportion is mathematically represented as

      [tex]p = \frac{3}{4} =0.75[/tex] (gotten from the statement  ''three out of four'' in the question)

The null hypothesis is [tex]H_o : p = 0.75[/tex]

The alternative hypothesis [tex]H_a : p > 0.75[/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{\^{p} - p}{ \sqrt{\frac{p(1-p)}{n} } }[/tex]

=>    [tex]z = \frac{0.78- 0.75}{ \sqrt{\frac{ 0.75(1-0.75)}{214} } }[/tex]

=>  [tex]z = 1.01[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  = P(Z > z )[/tex]

=> [tex]p-value  = P(Z > 1.01 )[/tex]

From the z-table  

    [tex]P(Z > 1.01 ) = 0.15625[/tex]

So

    [tex]p-value  = 0.15625 [/tex]

From the obtained values we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis

 Therefore we can conclude that the sample evidence is  not  sufficient to conclude that more than three out of four financial institutions that offer online banking facilities are prone to fraud.

A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?​

Answers

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

Answer:

24 Hooded Sweatshirts

Step-by-step explanation:

36/3=12

2x12=24 or hooded sweatshirts

1x12=12 or crewneck sweatshirts

12+24=36 total sweatshirts :)

In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

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yeahyeahyeahyeahyeahyeahyeah

Answers

the answer is yea yea yea yea yea

Multiply. Write your answer as a fraction in simplest form.
3
6x
22

Please help and by the way the question is 6 x 3 over 22 (fraction)

Answers

the answer is 18 !!!!!!!!!

Answer:

9/11

Step-by-step explanation:

(6 × 3)/22

18/22 = 9/11

I need to find the missing angles of this triangle

Answers

Answer:

it is 90 degrees

Step-by-step explanation:

All you have to do is add the sides that you know and triangles total is 180 so add 32+58 and u get 90 degrees then u will have to subtract 180 from 90 and it equals 90 which is your missing angle

An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air

Answers

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen

Answers

$7
six muffins is half of a dozen. And if it costs $3.50 for half a dozen you multiply 3.50 by two
3.50 x 2 = 7

Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?​

Answers

Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.

Given that:

[tex]R = (p - 1)(200 - 40p)[/tex]

To calculate the break even, we set R to 0.

So, we have:

[tex](p - 1)(200 - 40p) =0[/tex]

Split

[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]

Solve for p

[tex]p = 1[/tex] or [tex]40p = 200[/tex]

Divide by 40 in the second equation

[tex]p=1[/tex] or [tex]p =5[/tex]

The break even price is at $1 and $5

To maximize his revenue, we have:

[tex]R = (p - 1)(200 - 40p)[/tex]

Open bracket

[tex]R = 200p - 200 - 40p^2 + 40p[/tex]

Rewrite as:

[tex]R = - 40p^2+ 200p + 40p- 200[/tex]

[tex]R = - 40p^2+ 240p- 200[/tex]

Differentiate

[tex]R' = -80p + 240[/tex]

Equate to 0 and solve for p

[tex]-80p + 240=0[/tex]

[tex]-80p =- 240[/tex]

Divide by -80

[tex]p = 3[/tex]

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

[tex]R = (p - 1)(200 - 40p)[/tex]

Substitute [tex]p = 3[/tex]

[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]

[tex]R = (3 - 1)(200 - 120)[/tex]

[tex]R = 160[/tex]

The most money he can make is $160

The charges he sold when he made $100 is:

[tex]R = - 40p^2+ 240p- 200[/tex]

Substitute 100 for R

[tex]- 40p^2+ 240p- 200=100[/tex]

Collect like terms

[tex]- 40p^2+ 240p- 200-100=0[/tex]

[tex]- 40p^2+ 240p- 300=0[/tex]

Divide through by -20

[tex]2p^2- 12p+ 15=0[/tex]

Using quadratic formula, the solution of p is:

[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]

So, we have:

[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]

[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]

[tex]p = \frac{12 \± 4.90 }{4}[/tex]

Split

[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]

[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]

[tex]p = 4.225\ or\ p = 1.775[/tex]

He charged $4.225 or $1.775 to make $100.

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1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?​

Answers

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50

need help again!!! please and thank you!

Answers

Answer:

C) 4

Step-by-step explanation:

Just follow the same steps as the last one.

32x+2 = 33x-2

2+2=33x-32x

4=1x

X=4

It’s c :) gbehenehddbdbhe

find the trig value (with work)

Answers

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5

Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!

Answers

Answer: I think the answer is B.) 570

the answer is C.) 760

suppose 123 people voted for danny if 55 of the votes from girls to votes for boys explain

Answers

Answer:

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.

Answer:

60

Step-by-step explanation:

The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)

Answers

Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.

Explanation:

The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.

However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.

during a sale, 20 cent bars of soap were sold at the rate of 3 for 50 cents. how much is saved on 9 bars?

Answers

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.  It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.  It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?

Answers

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

4y + 19 = x
3y - x= -13

Answers

Answer:

Do you need a step by step explaination on hiw to get the answer x= -13?

Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True

Answers

Answer: Always true

Step-by-step explanation:

Whole numbers including 0 are always integers

Factorise fully
14x – 8​

Answers

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

The approximate z-score that corresponds to a right tail area of 0.45 is?​

Answers

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place

Answers

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Find the difference in lowest term 7/18 - 3/18

Answers

Answer:

2/9

Step-by-step explanation:

4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9

Hope that helps and have a great day!

Can someone please help me on this ​

Answers

The answer is 9 songs

What is 4/5 divided 1/3

Answers

The answer would be 2.4, or in fraction form 12/5. Please mark brainliest <3

you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?

Answers

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

What is 1/2÷3 as a fraction?

Answers

Answer: 1/6

Step-by-step explanation:

1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.

Other Questions
what are the steps for the respiratory system? SY Manufacturers (SYM) is producing T-shirts in three colors: red, blue, and white. The monthly demand for each color is 3,487 units. Each shirt requires 0.75 pound of raw cotton that is imported from the Luft-Geshfet-Textile (LGT) Company in Brazil. The purchasing price per pound is $1.55 (paid only when the cotton arrives at SYM's facilities) and transportation cost by sea is $0.70 per pound. The traveling time from LGTs facility in Brazil to the SYM facility in the United States is two weeks. The cost of placing a cotton order, by SYM, is $186 and the annual interest rate that SYM is facing is 32 percent of total cost per pound. a. What is the optimal order quantity of cotton? (Round your answer to the nearest whole number.) Optimal order quantity pounds b. How frequently should the company order cotton? (Round your answer to 2 decimal places.) Company orders once every months c. Assuming that the first order is needed on 1-Jul, when should SYM place the order? 17-Jun 1-Jul 15-Jul d. How many orders will SYM place during the next year? (Round your answer to 2 decimal places.) Number of orders times e. What is the resulting annual holding cost? (Round your answer to the nearest whole number.) Annual holding cost $ per year f. What is the resulting annual ordering cost? Annual ordering cost $ g. If the annual interest cost is only 5 percent, how will it affect the annual number of orders, the optimal batch size, and the average inventory? Which statement BEST represents the Georgia colony and its reaction to the Stamp Act?Question 3 options:A) The Georgia colony had a patriot group, called the Sons of Liberty, that promoted the payment of the tax.B) The Georgia colony was not required to pay the tax on stamps because King George saw them as loyal colonists.C) The Georgia colony had an economic dependence on England and supported the tax by purchasing stamps.D) The Georgia colony was not required to buy stamps because their goods were shipped directly to England through English merchants. Which statements about Earths crust are true? Check all that apply.The crust includes soil, rock, and water.There are three different kinds of crust.The crust is thickest under the ocean.The ocean crust is made of young rocks.The ocean crust is denser than continental crust. 1. What are the three different types of citizen? Which point represents the unit rate? Tommy and Arnold are playing with water balloons. Arnold is standing by a bush that is 20 feet from where Tommy is standing. Tommy released a water balloon at 5 feet above the ground and hits Arnolds chest- which is also 5 feet above the ground. The balloon reached a maximum height of 15 feet off the ground. using Tommys location as the starting point, help Tommy write an equation that describes the path of the water from the point of release to Arnold's chest. Using the equation y=a(x-h)^2+k Numbers with zerosA cleaning service orders 7 large bottles and 5 small bottles of a cleaning product.Each large bottle has 122 ounces. Each small bottle has 68 ounces.Which is the best estimate of the total amount of cleaning product the cleaning service orders?A 800 ounceswB. 1.200 ouncesC. 1,600 ouncesoD. 2.000 ounces what is the answer for 3x6+(1) A recipe gives the instructions below After browning the meat pour off fat from the pan to further reduce fat use a strainer.what type lf separation methods are described in the recipe A decantation and screeningB distillation and screeningC decantation and centrifugation D distillation and filtration Help pls its urgent Helppppp Meeeeee !!!!!!!!! If you answer someone's question=1 brainliest how does erosion and mass wasting alter the surface of the earth? In what way do they pose a threat to mankind? (a+b) to the power of two a= -3 and b= 6. A person following a liberal ideology would likely approve of Argue why vertical integration is necessary for Jim in the following scenario.Situation: Jim Smith owns a small ranch and independently sells his corn crop to food producers. His best client did not renew his contract and went with a different farmer because the other farmer offered a lower price than Jim did. Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1) The answer is D because I took the test on edge and it was correct WILL GIVE BRAINLIEST PLZ HELP ASAPPayment from conquered peoples helped the Aztecs to:A. Collect great wealth B. Become a democracy C. Give up money systemsD. Create better maize