Question 3 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.

Question 3 Of 10What Is The Equation Of The Following Line? Be Sure To Scroll Down First To Seeall Answer

Answers

Answer 1
answer: F. y = - 1/2x
Answer 2

The equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

What is an equation of the line?

The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers.

Given is a line passing through two points (0, 0) and (4, -2), we need to find the equation of the line,

We know that the equation of the line, passing through two points (x₁, y₁) and (x₂, y₂), is given by:

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (4, -2), putting the values to finding the equation,

y-0 = -2-0 / 4-0 (x-0)

y = -1/2(x)

y = -x/2

Hence, the equation of the line passing through two points (0, 0) and (4, -2) is y = -x/2

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Related Questions

110 calories
5 gummy bears
What is the unit rate per gummy bear?

Answers

Answer:

348.7 Calories (per 100 g)Step-by-step explanation:

Answer:

it is 22 because if you divide 110 ÷ 5=22

One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?

Answers

9514 1404 393

Answer:

  7.5×10^3 grams

Step-by-step explanation:

Your calculator can tell you the product of the weight of each times the number of them. It is ...

  (1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams

About 7.5 kg.

Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the perimeter of Jason’s model pentagon?

Answers

Answer:

165 centimeters

Step-by-step explanation:

A pentagon has 5 sides

Each side is 33 centimeters long

5 x 33 = 165

PLEASEEEE HELP I WILL MAKE YOU BRAINIEST

Answers

Answer:

14

Step-by-step explanation:

Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.

Hope this helps!

Both angles form a right angle which is 90 degrees.

Angle 2 would equal 90 degrees - angle 1

Angle 2 = 90 -34 = 56

So now we know 4x = 56

To find x divide both sides by 4

X = 14

In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.

Answers

These boys r annoying frfr like stop

Answer:

208

Step-by-step explanation:

Delta math

Select the quadrant or axis where each ordered pair is located on a coordinate plane.

Answers

Answer:

(-5,7) 2nd          (8.5,-4) 4th       (0,5) y-axis

Step-by-step explanation:

Which of the equations below could be the equation of this parabola?

Answers

Answer:

The correct answer is C

Your welcome:)

The equation below could be the equation of this parabola is y = -5x².

Option A is the correct answer.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:

y = a x², where a is a positive constant.

Now,

The only equation that fits this form is y = -5x².

Thus,

The equation below could be the equation of this parabola is y = -5x².

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(q4)Find the area of the region bounded by the graphs of
and x = y - 4.

Answers

The area of the region bounded by the graphs is 3.33 .Option B

To find the area of the region bounded by the graphs, we need to determine the points of intersection and integrate the appropriate functions within the bounds.

First, let's find the points of intersection between the graphs.

Setting the equations equal to each other, we have:

x = y - 4

x = ±√(y - 2)

To solve this system of equations, we can square both sides of the second equation:

[tex]x^2 = y - 2[/tex]

Now, we can substitute x from the first equation into the squared equation:

[tex](y - 4)^2 = y - 2[/tex]

Expanding and rearranging the equation:

[tex]y^2 - 8y + 16 = y - 2\\y^2 - 9y + 18 = 0[/tex]

Factoring the quadratic equation:

(y - 3)(y - 6) = 0

So we have two solutions: y = 3 and y = 6.

Now, let's find the corresponding x-values for each y-value.

For y = 3:

x = y - 4 = 3 - 4 = -1

For y = 6:

x = y - 4 = 6 - 4 = 2

We have found the points of intersection: (-1, 3) and (2, 6).

To find the area, we need to integrate the appropriate functions within the bounds.

For the first part of the region, bounded by the graphs x = y - 4 and x = -√(y - 2), we integrate with respect to y:

A1 = ∫[3, 6] [(y - 4) - (-√(y - 2))] dy

Simplifying:

A1 = ∫[3, 6] [y - 4 + √(y - 2)] dy

To evaluate this integral, we need to use numerical methods or software. The result is approximately 2.08 sq. units.

For the second part of the region, bounded by the graphs x = y - 4 and x = √(y - 2), we integrate with respect to y:

A2 = ∫[3, 6] [(y - 4) - √(y - 2)] dy

Simplifying:

A2 = ∫[3, 6] [y - 4 - √(y - 2)] dy

Again, we need to use numerical methods or software to evaluate this integral. The result is approximately 1.25 sq. units.

Finally, we find the total area by adding A1 and A2:

Total area = A1 + A2 = 2.08 + 1.25 = 3.33 sq. units.Therefore, the correct answer is Option B

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6-4x+6(x-2) solve for x

Answers

6-4x+6x-12=0

2x-6=0

X= 3

Answer:

x=3

Step-by-step explanation:

6-4x+6(x-2)

6-4x+6x-12

-4x+6x=12-6

2x=6

x=3


Terrell ran around a track that was 100 yards long.
How many feet did he run?

Answers

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Convert 562 hectograms to pounds to the nearest hundredth

Answers

Answer:

Is that your answer

Answer:

123.90

Step-by-step explanation:

1 Hectogram = 0.22 lbs

[tex]562*0.22=123.90\\[/tex]

Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.

PLEASE HELP

Answers

Answer/Step-by-step explanation:

H = V/lw

H = 984/20.5*6

H = 984/128

H = 8

ANSWER:

H = 8

You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?

Answers

Answer:

$490

Step-by-step explanation:

Since one hour of work is $12.25, 40 hours is $490.

12.25 x 40 = 490

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

John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”

Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

Please help









❤️❤️❤️❤️❤️❤️❤️❤️
Thanks besties

Answers

Answer:

62.33 degrees Fahrenheit.

Anytime bestie <3

Robert bought an LED television set that is 32 inches long. The diagonal length
measures 40 inches. What is the width of the television screen?
Pythagorean

Answers

You can draw it out
Make a right triangle from the square

Diagonal length = hypothenuse
Use Pythagorean theorem as stated
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
1024 + b^2 = 1600
b^2 = 576
Square root of 576 = 24

Solution: the width is 24 inches

PLEASE HELP ME W THIS

Answers

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37​%; that​ is, 37​% of criminals return to prison within three years. One hundred random prisoners are made to attend a​ "boot camp" for two weeks before their​ release, and it is hoped that​ "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of

Answers

This question is incomplete, the complete question is;

Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37​%; that​ is, 37​% of criminals return to prison within three years.

One hundred random prisoners are made to attend a​ "boot camp" for two weeks before their​ release, and it is hoped that​ "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of  37%.  

a) what is p. sample proportion of successes?

b) what is p0, the hypothetical proportion of success under the null hypothesis

c) what is the value of test statistic  

Answer:

a) sample proportion of successes is 0.32

b) the required value of p₀ is 0.37

c) the required test statistics value is -1.0356

Step-by-step explanation:

Given the data in the question

100 prisoners attend boot camp and 32 of them return to prison within three years

x = 32

n = 100

recidivism rate for the whole state = 37% = 0.37

a)

what is p. sample proportion of successes

p" = x / n

we substitute

p" = 32 / 100

p" = 0.32

Therefore, sample proportion of successes is 0.32

b)  

what is p₀, the hypothetical proportion of success under the null hypothesis

given that;

the population recidivism rate for the whole state is 37%;

p₀ = 37%

p₀ = 0.37

Therefore, the required value of p₀ is 0.37

Null hypothesis             H₀ : p₀ = 0.37

Alternative hypothesis Hₐ : p₀ ≠ 0.37

c)

what is the value of test statistic  

Z = (p" - p₀) / √([tex]\frac{p_0(1-p_0)}{n}[/tex])

so we substitute

= (0.32 - 37) / √([tex]\frac{0.37(1-0.37)}{100}[/tex])

= -0.05 / √0.002331

=  -0.05 / 0.04828

= -1.0356

Therefore, the required test statistics value is -1.0356

What is 53.237 written in expanded form?

Answers

53.237 in expanded form is:
50 + 3 + 0.2 + 0.03 + 0.007

if GameStop buys a video game for $35.00 and sells it with a 15% markup. How much does it cost the customer?

Answers

Answer:

40.25$

Step-by-step explanation:

What is the range for the set of data?

A. 4
B. 6
C. 3.5
D. 0


I don’t want a link, so if you were gonna send one, ignore this instead

Answers

the range for the set of data is 6

PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS

Answers

Answer:

third side =√{30²+16²)=34

sin theta/2=16/34

theta/2=sin-¹(16/34)

theta=28.07×2=56.14

Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation

Answers

The answer is y=1/4x

Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.

Required:
What is Jose’s cost basis for the delivery van?

Answers

Answer:

Jose's cost basis for the delivery van = $42,410

Step-by-step explanation:

Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.

Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:

Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410

The manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2. Calculate the approximate hold time for all customers who call the customer service department.
The approximate hold time for all customers who call the customer service department is A 4 minutes. B 3 minutes. cannot be calculated from the given data. d 7 minutes​

Answers

Answer:

The answer is approximately 3.

Step-by-step explanation:

You add all the numbers and then divide by 10

The approximate hold time for all customers who call the customer service department is 3 minutes.

What is a mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

For the given situation,

The department receives about 850 calls each hour.

The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.

The approximate hold time for all customers who call the customer service department is calculated by mean as

⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]

⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]

⇒ [tex]\frac{34}{10}[/tex]

⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]

Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.

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Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no

Answers

Answer:

no

Step-by-step explanation:

7x+5y=15

(x,y)

(4,3)

put in 4 for x and 3 for y

7(4)+5(3)=15

43=15

This equation is impossible

Hope that helps :0

Step-by-step explanation:

7x+5y=15 (x=4,y=3)

7(4)+5(3)=15

28+15=15

43>15

they are no equal

follow me

Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.

Answers

Answer:

180,000

Step-by-step explanation:

You got to multiply all the numbers and then divide by 600 and then you het your anwser

NANDARIINI RINNERIE MIRANI INDONESIA NOUTATI x2 - 7 when x = 8 mundo​

Answers

Answer: 57

Step-by-step explanation:

x² - 7

When x = 8

= x² - 7

= 8² - 7

= 64 - 7

= 57

jawabannya adalah 57

You need two bottles of fertilizer to treat the flower garden that has a perimeter of 42 feet. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?

Answers

Answer:

5

Step-by-step explanation:

i think the answer is 5

Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3

Answers

Answer:

the 3rd graph

Step-by-step explanation:

The graph which represents x-y = 1 is; The 3rd graph.

Graph of a straight line

From the task content, the given equation of the line is; x - y = 1.

By rearranging the equation to take the slope-intercept form;.

y = x - 1.

Hence, slope of the graph is 1 and the y-intercept of the graph is -1.

On this note, only the 3rd graph satisfies the conditions above.

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For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.

Answers

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

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