Which representations have the same rate of change of y with respect to x as the equation x + 2y = 6

Which Representations Have The Same Rate Of Change Of Y With Respect To X As The Equation X + 2y = 6

Answers

Answer 1
I think that it is D all of the above
Answer 2

The slope of all the given options  are equal and it is equal to slope of given equation .

So, All of the above

Given

Equation of a given line is [tex]x+2y=6[/tex]

Lets find out slope m by writing the equation in y=mx+b form

[tex]x+2y=6\\2y=-x+6\\y=\frac{-1}{2}x+6[/tex]

The slope of the line is [tex]\frac{-1}{2}[/tex]

Now we find slope of each option using formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-3}{6-0} =\frac{-1}{2}[/tex]

Now pick two points from option B to find slope

(-10,-3)   and (0,-8)

[tex]m=\frac{-8+3}{0+10} =\frac{-1}{2}[/tex]

Now we consider the third option

[tex]y=\frac{-1}{2}x+2\\slope = \frac{-1}{2}[/tex]

Slope of all the options are same  and it is equal to the slope of given equation

So, all the above

Learn more :  brainly.com/question/2643177


Related Questions

a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower

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Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

You can expect the value of a tablet computer to depreciate at a rate of 25% per year.
What does depreciate mean in this example?

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Answer:

Lose Value in monetary form

Step-by-step explanation:

Item 8 A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary. The dog has about square feet of running area.

Answers

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answer:

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

[tex]Radius = 15ft[/tex]

[tex]Area = \pi r^2[/tex]

Where

[tex]r = Radius = 15[/tex] and [tex]\pi = 3.14[/tex]

So:

[tex]Area = 3.14 * 15^2[/tex]

[tex]Area = 3.14 * 225[/tex]

[tex]Area = 706.5ft^2[/tex]

[tex]Area = 707\ ft^2[/tex]

What is the Sign of the equation?

Answers

Step-by-step explanation:

m and n are both located on the number line and are on the left of 0.

Therefore m and n are both negative reals.

m¹³ * n⁵

= (-)¹³ * (-)⁵

= (-) * (-)

= (+)

The answer is positive.

Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

The perimeter of ABCD is ___ units.


Could someone explain how I can figure this out?

Answers

Given:

The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

To find:

The perimeter of ABCD.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(4-(-1))^2+(1-1)^2}[/tex]

[tex]AB=\sqrt{(4+1)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(5)^2}[/tex]

[tex]AB=5[/tex]

Similarly,

[tex]BC=\sqrt{(4-4)^2+(-2-1)^2}=3[/tex]

[tex]CD=\sqrt{(-1-4)^2+(-2-(-2))^2}=5[/tex]

[tex]AD=\sqrt{(-1-(-1))^2+(-2-1)^2}=3[/tex]

Now, perimeter of ABCD is

[tex]P=AB+BC+CD+AD[/tex]

[tex]P=5+3+5+3[/tex]

[tex]P=16[/tex]

Therefore, the perimeter of ABCD is 16 units.

The perimeter of polygon ABCD is 16 units

The coordinates are given as:

[tex]\mathbf{A = (-1,1)}[/tex]

[tex]\mathbf{B = (4,1)}[/tex]

[tex]\mathbf{C = (4,-2)}[/tex]

[tex]\mathbf{D = (-1,-2)}[/tex]

Start by calculating the distance between the coordinates using the following distance formula

[tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]

So, we have:

[tex]\mathbf{AB = \sqrt{(-1 - 4)^2 + (1 - 1)^2} = 5}[/tex]

[tex]\mathbf{BC = \sqrt{(4 - 4)^2 + (-2 - 1)^2} = 3}[/tex]

[tex]\mathbf{CD = \sqrt{(4 - -1)^2 + (-2 - -2)^2} = 5}[/tex]

[tex]\mathbf{AD = \sqrt{( -1- -1)^2 + (-2 - 1)^2} = 3}[/tex]

The perimeter is then calculated as:

[tex]\mathbf{Perimeter = AB + BC + CD + AD}[/tex]

Substitute values for AB, BC, CD and DA

[tex]\mathbf{Perimeter = 5+ 3 + 5 + 3}[/tex]

[tex]\mathbf{Perimeter = 16}[/tex]

Hence, the perimeter of the polygon is 16 units

Read more about perimeters at:

https://brainly.com/question/3118552

Please help me with this problem!!

Answers

Answer:

cn<fr

Step-by-step explanation:

trust me bro

Answer: Cr<Fr

Step-by-step explanation:

if you look at the angle it gives you, you can tell which inequality is bigger.

Which statement about 3 multiplied by 23 must be true?

A
The product is less than 23 .

B
The product is between 23 and 3.

C
The product is greater than 4.

D
The product is between 3 and 4

Answers

Answer:

(C) because the answer is 69

Step-by-step explanation:

you make 3 groups of 23 and u get 69

its greater then 23 and 4

and its not between 3 and 4 or between 23 or 3

so it can only be (C)

I NEED UR HELP PLEASE


The moon is approximately 240,000 miles from earth. What is the
distance between the earth and the moon in km? Use the conversion factor: 1 mi = 1.62 km.

Select one:
O a. 150,000 km
O b. 109, 000 km
O c.528, 000 km
O d. 390,000 km

Answers

It is D 240000 x 1.62 = aproximetly 390000

Answer:

252008 miles 405696 km from earth

Step-by-step explanation:

Need help plz I need to pass this.

Answers

Answer:

Subtract 10 from both sides

Step-by-step explanation:

Answer:

Subtract 10 from both sides (D)

Step-by-step explanation:

This is the answer because x+10=30 you have to turn the +10 to a negative ten and subtract it to the 30

Hope this helps:)

Pls mark brainlist

In APQR, PQ- QR. If map

Answers

Answer:

3x-120 = x - 30

2x -120 = -30

2x= 90

x= 45

3(45) -120 (plug x into angle p to check your answer)

135-120

15 degrees

45-30 (plug x into angle r to make sure it's the same thing as angle p)

15 degrees (they're equal so now figure out angle Q and answer the question)

180 - (15 +15)

180- 30

150 is the measure of angle Q

so, the triangle is an obtuse isosceles triangle

Step-by-step explanation:

Write the equation of the line that passes through the points (-1,-4) and (9,-5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

The equation in point-slope form is: [tex]y+4=\frac{-1}{10}(x+1)[/tex]

Step-by-step explanation:

Write the equation of the line that passes through the points (-1,-4) and (9,-5).

The point slope form is:  [tex]y-y_1=m(x-x_1)[/tex]

Where m is slope and x₁ and y₁ are the points given

Finding Slope

Slope can be found of given points using formula:  [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have  [tex]x_1=-1, y_1=-4, x_2=9, y_2=-5[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-(-4)}{9-(-1)}\\ Slope=\frac{-5+4}{9+1}\\ Slope=\frac{-1}{10}[/tex]

So, slope m = -1/10

Using point (-1,-4) and slope m = -1/10 the equation is:

[tex]y-y_1=m(x-x_1)\\y-(-4)=\frac{-1}{10}(x-(-1))\\y+4=\frac{-1}{10}(x+1)[/tex]

So, the equation in point-slope form is: [tex]y+4=\frac{-1}{10}(x+1)[/tex]

pleaseeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

134

Step-by-step explanation:

Angles in a triangle= 180 degrees

32+8=40

40+6=46

180-46=134

any more help just ask :)

i'm only in yr 8

Answer:

As expained in the rpevious answers that i gave you, the sides are proportional making MN/NF=MR/RQ

Therefore, 8/32=6/RQ

8/32=1/4

1/4=6/RQ

1x6=6, 4x6=24

24+6=30

MQ=30

Step-by-step explanation:

What is the percent of change from 7,000 to 700

Answers

Answer:

-900%

Step-by-step explanation:

went from 7000 to 700

700-7000 / 700 = -9 or -900%

Answer:

90% decreased

Step-by-step explanation:

You change it to percent and it will be easier to do it like that instead of whole numbers without percents.

guys pls help i tried and i got 36.2664 but its not right. what else could it be.
i just put 39.42 x 0.92 in calc. what else could i do

Answers

Answer:

I got the same answer. You probably need to round it to 36.27

Joy wants new school supplies. She will buy spirals, s, for $2 each and pencil sharpeners, p, for $.75 each. Joy only brought $24 to the store. Which inequality represents this situation?

Answers

Answer:

24 < 2s + 0.75p

Step-by-step explanation:

Take these 25 pts my apologies

Answers

yes thank you. very much

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

23 or 22....

Step-by-step explanation:

because he got 3 questions wrong sooooo yeah... ya✋

Answer:

The student had a total of 25 questions on his test.

Step-by-step explanation:

Given that:

Number of questions answered correctly in the test = 20

Percentage scored in the test = 80%

Let,

x be the total number of questions on test.

We know that 80% of the test is 20 questions, therefore,

80% of x = 20

[tex]\frac{80}{100}x=20\\0.8x=20[/tex]

Dividing both sides by 0.8

[tex]\frac{0.8x}{0.8}=\frac{20}{0.8}\\x=25[/tex]

Hence,

The student had a total of 25 questions on his test.

HELP ASAP! I give brainliest!!

Answers

Answer:

325000

Step-by-step explanation:

create a proportion: 13/3 = x/ 75000

cross multiply: 975000/3 = x

simplify: 325000

Answer:

325,000 female teachers or teachers that are women.

Step-by-step explanation:

1. set up an equation

[tex]\frac{x}{75,000} = \frac{13}{3}[/tex]

2. cross multiply

[tex]3x = 975000[/tex]

3. inverse operations/simplify

[tex]325000[/tex]

u will get 15 points pls help

Answers

Answer:

We need to set up and solve all of the angle measures add up to 180°

[tex]3x - 10 + 6x + 5 + 4x - 10 = 180\\\\7x - 15 = 180\\\\7x = 165\\\\x = 24[/tex]

Brandon just competed in a 400-meter race. He completed the race in 1:25 (1 minute 25 seconds). How many yards did Brandon run in that race?

Answers

Answer:

437.445 yards

Step-by-step explanation:

Convert: its 437.445 yards.

Hope this helps plz hit the crown :D

A food pantry is making packages. Each package weighs 64 pounds. Each package contains 4 boxes. Each box contains a 7-pound bag of beans and a bag of rice. The bags of rice are all identical.
write an equation that accurately represents this situation.

Answers

Answer:

each individual bag of rice weighs 9-pounds.

Step-by-step explanation:

Based on this information we would need to create an equation for the weight of each individual bag of rice. We are told that a 64lb package contains 4 boxes so...

64 lbs. = 4 boxes

Each box contains a 7-pound bag of beans and 1 bag of rice. Since we are told how much the bag of beans weighs we can multiply this by the number of boxes to calculate its total weight from the package...

7 lb. * 4 = 28 lbs.

Now we know that the bags of beans in the package weights 28 pounds. We now subtract this from the total weight of the package to find the total weight of the bags of rice in the package.

64 lbs. - 28 lbs = 38 lbs.

We can see now that the 4 bags of rice in the package weighs a total of 28 pounds. Therefore, we can divide that total by 4 to calculate the weight of each individual bag of rice...

28 lbs. / 4 = 9 lbs.

Finally, we can see that each individual bag of rice weighs 9-pounds.

ILL GIVE U BRAINLESS I NEEED THE ANSWER ASAP LOL

Answers

Answer:

what is the question

Step-by-step explanation:

i’ve been drinking coffee and i’ve been eating healthy. can you stay up all night mmm f me till the daylight

I need help pleaseeeeee brainly

Answers

My
Cl CC lnljo MBbbggghjsjdjdjdjdjrjdhhfnfnfbxbdbdbdbd

HELP ASAP!!!!!!!!!!!!!
The measure of ∠DAB equals 110º. The measure of ∠ACB equals 20º.

What is m∠ABC?

Enter your answer in the box.

Answers

Answer:

∠ABC=90°

Step-by-step explanation:

if ∠DAB =110 then ∠BAC =180-110 =70° because straighht lines make 180°∠s

use the fact that the sum of angles in a Δ is 180°

∠ABC= 180-20-70= 90

at an all-you-can-eat barbecue fundraiser that you are sponsoring, adults pay $6 for a dinner and children pay $4 for a dinner. 212 people attend and you raise $1128. what is the total number of adults and the total number of children attending?

Answers

Answer:

x

Step-by-step explanation:

Answer:

140 adults and 72 children

Step-by-step explanation:

-4a-4c=-848

6a+4c=1128

2a=280

a=140

What type of slope is shown?

Answers

It’s a Positive Slope

Answer:

I think it is a positive slope. I might be wrong.

.A square field has a side 30m. Find the cost of fencing its four sides at Rs. 10 per metre​

Answers

Answer:

1,200

Step-by-step explanation:

So first we need to find the perimeter

[tex]P=30+30+30+30\\\\P=120[/tex]

so it costs 10 per meter

[tex]120\times 10=1,200[/tex]

Use the number line​ below, where RS = 5y + 2, ST = 3y + 6, and RT = 48

Answers

RS+ST= RT

(7Y+3)+(2Y+9)= 14Y-8

9Y+12=14Y-8

5Y=20

Y=4

A round tablecloth has a diameter of 30 inches.
What is the area of the tablecloth? PLSS HELP

Answers

Answer:

706.858 inches^2

Step-by-step explanation:

Calculate radius = d/2 = 30/2 = 15in.

Calculate area = 3.142×radius^2

=3.142×(15)^2

=706.858 inches

Which of the following statements is true? *
On a number line, -|55| an |-55| are the same point.
On a number line, -|55| is farther from 0 than |-55| is.
On a number line, -|55| an |-55| are the same distance from 0.

Answers

Its the last option they both are as far from 0 on the number line
Hope this helps and good luck on ur guyss exams :)
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