determine the discount between the point(-4,2) and the line 4y=3×+6​

Answers

Answer 1

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5


Related Questions

find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a person can eat is 16 pieces with a standard deviation of 8 pieces of sushi .constructs 90% confidence interval for the mean of amount of sushi pieces a person can eat statistics

Answers

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]

The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

Find the 67th term of the following arithmetic sequence.
5, 11, 17, 23, ??

Answers

Answer:

401

Step-by-step explanation:

a = 5

d = [tex]a_2[/tex] - a

= 11 - 5

= 6

[tex]a_{67}[/tex]= a + (n-1)d

= 5 + (67-1)6

= 5 + 66 × 6

= 5 + 396

= 401

Answer:

401. is your correct answer.

Solve
3x + 7 = 1

please show full working out

Answers

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

match the base to the corresponding height​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.

Find the measure of angle w.'
5 points
wo
124°
О124
О 34
оооо
56

Answers

Answer:

56

Step-by-step explanation:

Angles w and 124 are linear pair angles,

w + 124 = 180

w = 180 - 124

w = 56

HELP ME !! AND EXPLAIN HOW YOU GOT IT.


PLEASE ANSWER !! ILL GIVE BRAINLIEST !!

50 POINTS !!

FAKE ANSWERS WILL GET REPORTED .

Answers

Answer:

<1= 62

•it is 62 because it is an alternate interior angle which is congruent

<2= 83

• when you add the given angles 62 and 35 you get 97 and a triangle is 180 so you subtract 97 from 180

<3=35

• it is 35 because it is an alternate interior angle which is congruent

Step-by-step explanation:

62+35= 97

180-97= 83

2. Two puppies together weigh 22 kilograms 300 grams. If one
puppy weighs 9 kilograms 500 grams, how heavy is the other
puppy?
Tip: 1 kg = 1000 g
answer asap

Answers

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

Yousef buys 40 tokens at the carnival. He gives his sister tokens for 5 kiddie rides. He wants to use the remaining token for thrill rides for himselt.
thrill rides use 5 tokens each and kiddie rides use 3 tokens each, what is the largest number of thrill rides Yousef can go on?

Answers

Answer:

5 rides

Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for  1 thrill ride)

HELP ME PLEASEEEEEEEEEEE

Answers

Negative 5 through positive 2

Answer: -5,1

Step-by-step explanation: Hope this help :D

A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.

Answers

The answer is 100 boxes

Answer:

100

Step-by-step explanation:

Lloyd is standing near a power line pole as shown in the figure. When his head touches the support wire, he is 2 feet from
where the wire meets the ground.
If Lloyd is 5 feet tall, how tall is the power line pole?
A. 20 feet
B. 15 feet
C. 80 feet
D. 17 feet

Answers

Answer:

B

Step-by-step explanation:

A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.​

Answers

Answer:

huh?

Step-by-step explanation:

Calcula el área de un círculo con circunferencia de 37.68 unidades.

Answers

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed

Answers

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?

Answers

Answer:

8,25

Step-by-step explanation:

4. Sharlene walked 7 2/11
km to school an 2 8/11
km to the park. How many
Kilometers dild she walk in all​

Answers

Answer:

9 10/11 km

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

7 2/11 km to school

Another 2 8/11 km to the park

Step 2: Find Total

Add:                                                                                                                   9 10/11 km

Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.

Use the drop-down menu below to answer the question about the stem-and-leaf plot.

Answers

Answer:

13 games

Step-by-step explanation:

Answer:

13 games

Step-by-step explanation:

The smith family is shopping for a new car

Answers

Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation:

Is this all? .......

Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
A. 10 fl. oz.
B. 12 fl. oz.
C. 16 fl. oz.
D. 20 fl. oz.

Answers

Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?

A. 10 fl. oz.

B. 12 fl. oz.

C. 16 fl. oz.

D. 20 fl. oz.

Answer:

C. 16 fl. oz.

Step-by-step explanation:

hope this helps.

Wake up and help me out thank youuuuu !!!!

Answers

Correct answer is the last one
The answer is The fourth one D

Write the equation of the line that passes through the points (7, -3) and (7, 0).

Answers

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.


.
Mrs Tan packed 42 strawberry cookies and 49 chocolate cookies in boxes
such that each box had an equal number of each type of cookies. What was
the greatest number of boxes used if all the cookies were packed?

Answers

Answer:

6 boxes

Step-by-step explanation:

HCF of 42 and 49 gives us 7.

So, 7 is the greatest number of boxes used if all cookies were packed.

Mark me brainliest thenkss :)

Using the GCF factor the given expression: 21xy + 14y

Answers

Answer:

7y(3x+2)

you take out the 7y from both sides

If four is subtracted from twice a number, the result is fourteen what is the equation ​

Answers

Answer:

2x - 4 = x - 10

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEE

Answers

Answer:

12

Step-by-step explanation:

12/2=6

Tell me if it works

Answer: z=12

Step-by-step explanation: Hope this help :D

un ascensor se encuentra en la duodécima planta de un edificio, sube 10 pisos, despues en baja 1, en sube 3 y en baja 5. ¿En qué planta se encuentra en el final?

Answers

Answer:

It is in the plant 19.

Step-by-step explanation:

what is the square root of 6144

Answers

Answer:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?

A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.

Answers

Answer:

the answer is A. 38lb.

i hope this helps :)

Step-by-step explanation:

A. 38 lbs.
50-12= 38 pounds

There are ten shirts in your closet, four blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday

Answers

this is very simple. so basically u need statistic for the persetage of finding the answer. basically what jm saying is if u wear a blue shirt on monday and green on tuesday. then thertiocially u should wear a opsiote the following week. hope rhis helps :)

Use -b/2a to find x and then substitute your answer to find y.

Answers

The coefficient b=-10Since b is multiplied by -1, cancel it out to get 10.The coefficient a=-1Multiply -1 with 2 to get -2.10/-2=-5x=-5y=16
Other Questions
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