On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8

Answers

Answer 1

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Answer 2

Answer:

B on edge

Step-by-step explanation:


Related Questions

The function f is defined by f(x) = 5x2 + 2x + 5. What is the value of f(2)?

Answers

Answer:

[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]

Which of the following can be determined exactly from a histogram? A. mean B. median O C. MAD D. none of these​

Answers

The midpoint of the tallest bar of the histogram is the mode of the data point.

What is a histogram?

Graph is a graphical representation that shows the relationship between a group of points. Types of graphs are histogram, bar chart, pie chart etc.

A histogram is a graphical representation that arranges a group of data points into specific ranges.

The midpoint of the tallest bar of the histogram is the mode of the data point.

Find out more on histogram at: https://brainly.com/question/2962546

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During second period, Mia completed a grammar worksheet. Of the 60 questions, Mia got 80% right. How many questions did Mia get right?

Answers

Answer:

48 questions

Step-by-step explanation:

60 into 80 by 100

60 x 80/100

simplify, hence 60 x 4/5

240 divided by 5 = 48

: )

The number of questions Mia get right is 48 questions.

What is a percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

For the given situation,

Total number of questions = 60

Percentage of questions Mia got completed right = 80% = 0.80

Thus number of questions Mia get right = [tex](60)(0.80)[/tex]

⇒ [tex]48[/tex]

Hence we can conclude that the number of questions Mia get right is 48 questions.

Learn more about percentages here

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James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?



A= P =

Answers

Answer:

The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Ken flips a coin and draws a card. Is this a independent or dependent event?

Answers

Flipping a coin and drawing a card would be independent

a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely

Answers

36 times

Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!

The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households in City 1 is more than that of households in City 2. She surveys 35 households in City 1 and obtains an average weekly food expenditure of $164. A sample of 30 households in City 2 yields an average weekly expenditure of $159. Historical data reveals that the population standard deviation for City 1 and City 2 are $12.50 and $9.25, respectively.

Required:
At the 5% significance level, is the economist claim supported by the data?

Answers

Answer:

>> Null hypothesis; H0: μ1 - μ2 ≥ 0

Null hypothesis; Ha: μ1 - μ2 < 0

>> z = 1.85

>> p-value = 0.03

>> there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.

The economist claim is not supported by data.

Step-by-step explanation:

We are given;

Sample mean of city 1; x1¯ = 164

Sample mean of city 2; x2¯ = 159

Sample size of city 1; n1 = 35

Sample size of city 2; n2 = 30

Standard deviation of city 1; σ1 = 12.5

Standard deviation of city 2; σ2 = 9.25

Let's define the hypotheses;

Null hypothesis; H0: μ1 - μ2 ≥ 0

Null hypothesis; Ha: μ1 - μ2 < 0

Test statistic which is the z-score Formula between 2 mean is;

z = ((x1¯ - x2¯) - 0)/√((σ1)²/n1) + ((σ2)²/n2))

z = (164 - 159 - 0)/√((12.5²/35) + (9.25²/30))

z = 5/2.705

z = 1.85

From online p-value from z-score calculator attached, using z = 1.85, one tailed, significance value of 0.05, we have;

p-value = 0.03

The p-value is less than the significance value, and so we will reject the null hypothesis and conclude that there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.

The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.

Answers

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15

Mr. Bryant earns $32 per hour. He regularly works 40 hours per week. If he works 26 overtime hours (at time- and-a-half), would his overtime pay exceed his regular gross pay? Explain your answer.​

Answers

Your answer: No. His regular pay for 40 hours is $1,280. His overtime pay for 26 hours is $1,248.

Regular pay = 32 x 40 = $1280

Time and a half = 32 + 16 = $48/hr
48 x 26 = $1248

What is the difference/ ratio of the numbers 6.25, 25, 100, 400,

Answers

1:4

The pattern in the number sequence is that every number is 4 times larger than the one before it. In ratio form, 1:4 would be the representation of the pattern.

Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2

Answers

Answer:

x = -2

y = 5

Step-by-step explanation:

7y - 5x = 45    -------------------(I)

x = 8 - 2y -----------------------(II)

Substitute x = 8 - 2y in equation (II)

7y - 5(8-2y) = 45

7y + 8 *(-5) - 2y*(-5) = 45

7y - 40 + 10y = 45

17y - 40 = 45

17y = 45 + 40

17y = 85

y = 85/17

y = 5

Plugin y = 5 in equation (II)

x = 8 - 2*5

x = 8 - 10

x = -2

BRAINLIESTT!!
13POINTS
A construction crew built 1/2 miles of road in 1/4 days.
What is the unit rate in miles per day?

Write your answer in simplest form.

Answers

Answer:

2

Step-by-step explanation:

1/2 x 4 = 2

No problem :) remember to give me brainliest :0

Answer:

2 miles per day

Step-by-step explanation:

First make sure they both have a common denominator.

1/2=2/4miles per 1/4 of a day

You multiply both by 4.

This gives you a ratio of 2:1

2 miles per day

factor by grouping 20i^3-25i^2+4i-5

Answers

the answer is (4x-5)(5x^2+1)

hi!
which equation is graphed here?

Answers

Answer:

The equation would be y = -3/2x - 1

Step-by-step explanation:

The slope is -3/2 and the y-intercept is -1.

What single percentage change is equivalent to a 11% decrease followed by a 13% decrease?

Answers

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = [tex]\frac{89}{100}[/tex] = 0.89

A decrease of 13% = (100 - 13)% = 87% = [tex]\frac{87}{100}[/tex] = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number ​

Answers

Answer:

answer

Step-by-step explanation:

1,00,75,302= One crore seventy five thousand three hundred two

Rearranging the digits,

Largest number = 7,53,21,000

Smallest number = 1,00,02,357

What is the radius of a hemisphere with a volume of 757 cm", to the nearest tenth of
a centimeter?

Answers

Answer:

r = 7.1 cm

Step-by-step explanation:

Given the following data;

Volume of hemisphere = 757 cm³

To find the radius of the hemisphere;

Mathematically, the volume of a hemisphere is given by the formula;

Volume of hemisphere = ⅔πr³

Where, r is the radius of the hemisphere.

π = 22/7

Substituting into the formula, we have;

757 = ⅔πr³

Cross-multiplying, we have;

757 * 3 = 2πr³

2271 = 2*22/7*r³

2271 = 44/7*r³

Cross-multiplying, we have;

2271 * 7 = 44r³

15897 = 44r³

r³ = 15897/44

r³ = 361.30

Taking the cube root of both sides, we have;

r = 7.1223

To the nearest tenth of a centimeter;

r = 7.1 cm

HELP By Today
Please

The number of permutations of 5 objects taken 2 at a time is P(5,2). The value of
5!
P(5,2) could be found by applying 5P2=
(5 – 2)
What is the value of P(5,2)?

A-60
B-20
C-6
D-120

Answers

Answer:

20

Step-by-step explanation:

50 points) please help! no links, brainliest, extra points.

I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.


Any non-integer answers in this problem should be entered as decimals rounded to the tenth.

Duncan surveyed 10 people to see how many hours per week they exercise. The results are listed below.


18, 13, 20, 14, 12, 6, 11, 5, 15, 10


Use the data set to complete the sentences.


The interquartile range of the data set is _____.


The mean absolute deviation of the data set is _____.

Answers

Step-by-step explanation:

interquartile range = 5

.

The mean absolute deviation = 3.6

.

hope this gonna help !

Answer:

range = 15

IQR= 5

mean absolute deviation  = 3.6

1st quartile = 10

median= 12.5

3rd quartile = 15

520 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 4 hours. How long would it be, to the nearest tenth of an hour, until there are 33980 bacteria present?

Answers

Answer:

24.1

Step-by-step explanation:

And 50% what is the answer please help no links no links

Answers

The answer is in the photo

Tracy is trying to justify a step in her paragraph proof. What is the property that she should use?
ABAB
1)Transitive Property of
Congruence
2)Symmetric Property of
Congruence
3)Reflexive Property of Congruence
4)Equality of Congruence Property

Answers

symmetric property i think but i’m not sure

Answer:

The reflexive property of congruence

Step-by-step explanation:

This property says that an object is congruent to itself.

7. Logan can type 45 words in 2 minutes. Ebony can type 22 words in 45 seconds. Who
types slower?

Answers

Logan bc 45 divided by 2 is 22 every min but ebony types 22 per 45 seconds so Logan

Answer:

Ebony can type faster at 58.6 words per 2 minutes

Step-by-step explanation:

Can someone please help

Answers

Answer:

The answer is 12 times

Step-by-step explanation:

6 x 12 = 72

112 - 72 = 40

40/5 = 8

12 + 8 = 20 times

so the answer is 12 ;)


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

-8x+8=-6x+20 and x= -6

Step-by-step explanation:

Reason to equation:

This image shows alternative interior angles.

Alternative interior angles are congruent to each other.

How to find x:

-8x+8=-6x+20

We subtract 8 from both sides

-8x=-6x+12

We add 6x to both sides

-2x=12

We divided -2 from both sides

-2x/-2x = 12/2

Leaving us with x=-6

CAN SOMEONE PLEASE ANSWER THIS FOR ME

Answers

Ani do niot know lol

Step-by-step explanation:

Answer:

J. 20ft

Step-by-step explanation:

1 2/3 = 5/3

5/3 * 12/1 = 60/3

60/3 = 20

what is 20 x 3-4 + 80 / 988 + 444444 x 343

Answers

No clue why but in exact form it’s 37653753976/247

Which expressions are equivalent to the given expression?v252

Answers

Answer:

a and b

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh

Answers

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your conclusion in the context of the study.

a. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Chicago than with the anchor of Green Bay.
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
c. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Green Bay than with the anchor of Chicago.
d. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Chicago than with the anchor of Green Bay.

Answers

Answer:

b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.

Step-by-step explanation:

Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.

Other Questions
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