Use the point-slope form of the straight line to find the equation of the straight line which passes through the point (2, 1) and is parallel to the line 5x + y = 1.

Answers

Answer 1

Answer:

y=-5x+6

Step-by-step explanation:

the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5

Then you need to put it into point slope for to figure it out y-y1=m(x-x1)

y-1=-5(x-1) (simplify)

y-1=-5x+5 (add 1 to both sides)

y=-5x+6


Related Questions

Zak has 11 shirts and 8 ties in his wardrobe. a) On Thursday morning, he picks a shirt and a tie at random from the wardrobe. How many possible combinations are there? b) On Thursday evening, he puts the tie back in the wardrobe but not the shirt. On Friday morning, he picks a shirt and a tie at random from the wardrobe again. How many possible combinations are there now?​

Answers

Answer:

c

Step-by-step explanation:

because you do 12 times 9 minus 100 wich is 125 so yeah

Find the area of the following polygon if AB= 12 cm, AC = 2.4 cm, CE = 6 cm, AD 4.8 cm, CF = GE = 3.6 cm, DH = 2.4 cm. =​

Answers

Answer:

50.40 cm2

Step-by-step explanation:

Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH

= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2

= 50.40 cm2

Hence, the required area = 50.40 cm2.

On a certain hot summer's day, 273 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $528.75. How many children and how many adults swam at the public pool that day?

Answers

The number of children is 123 and the number of adults is 150 for that day.

According to the question,

We have the following information:

273 people used the public swimming pool.

Price for children = $1.25

Price for adults = $2.50

The total amount received = $528.75

Now, let's take the number of children to be x and the number of adults to be y on that day.

So, we have the following expression:

x + y = 273

x = (273-y) .... (1)

1.25x + 2.50y = 528.75

Now, putting the value of x from equation 1:

1.25(273-y) + 2.50y = 528.75

341.25 - 1.25y + 2.50y = 528.75

341.25 + 1.25y = 528.75

1.25y = 528.75-341.25

1.25y = 187.5

y = 187.5/1.25

y = 150

Now, putting this value of y in equation 1, we will find the value of x:

x = 273-y

x = 273-150

x = 123

Hence, the number of children is 123 and the number of adults is 150 on that particular day.

To know more about number of children here

https://brainly.com/question/28907711

#SPJ1

Given the figure, find the total area of the shaded region.
-4
A
D
8.
6-
4-
2-
O
-2-
-4
2
G
S
B
The area of the shaded region is
R
6 8
-U
X
square units.

Answers

Answer:

what was one survival event you experienced

-w/5 + nine = thirteen

Answers

Answer:

w=-20

Step-by-step explanation:

-w/5+9=13

-w/5=-1/5w

-1/5w+9=13

Subtract 9 on both side

Multiply both sides by -5/1

w=-20

Answer:

w=20

Step-by-step explanation
.

If f(x) = 2x² +3 and g(x)=x2-7, find (f- g)(x)


A. 3x²2²-10
B. x² + 10
C. x²-4
D. 3x²2²-4

APEX FUNCTIONS PLEASE HELP​

Answers

Answer: D

Step-by-step explanation:

Simplify (-4b)(-19b).
76b
-76b
766²
-76b²

Answers

The answer is the last one. -76b².

Rose's stamp collection is 7 less than half of Van's stamp collection, x.

Which expression represents the total number of stamps that Rose has?

Responses

7−1/2x
7 minus fraction 1 half end fraction x

7x−1/2
7 x minus fraction 1 half end fraction

1/2−7x
fraction 1 half end fraction minus 7 x

1/2x−7

Answers

Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

Answer: 1/2x - 7

Step-by-step explanation:

1/2x represents half of Van's stamp collection and Rose has 7 less than that.

'less than' is telling you to subtract, so the answer is 1/2x - 7

yuckyew DID THIS! NOT ME!

Identify the vertex, min/max values, and x-
intercepts. Then graph.
y=x²-1

Answers

x-intercepts; plug in 0 for y and then solve

0 = x^2 - 1

1 = x^2; x = -1 & x = 1

vertex; (0,-1); the only translation was the point was moved down one unit

min/max; the graph does not have a max because it is a positive graph w/ positive infinity. The minimum would be (0,-1), the lowest point.

! For graphing I recommend using desmos.

The diagonal of a triangle measures 18.2 inches. The width is 6.7 inches. What is the perimeter of the rectangle? (This has to do with Pythagorean Theorem)

Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{18.2}\\ a=\stackrel{adjacent}{6.7}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{18.2^2 - 6.7^2}=b\implies \sqrt{286.35}=b\implies 16.92\approx b[/tex]

One of the humpback whales in a pod has a maximum speed of 690 meters per minute. If
the whale is swimming south at one-third of its top speed, how far will the whale travel in
4 minutes?
Write your answer as a whole number.

Answers

690 ÷ 3 = 230

230 × 4 = 960

a whale will go 960 meters

Write in exponential notation.
(-6)(-6)(-6)(-6) =

Answers

Answer:

[tex] ( - 6) {}^{4} [/tex]

Step-by-step explanation:

-6 is being multiplied repeatedly 4 times so

[tex]( - 6) {}^{4} [/tex]

simplify 3x + 5y - x +2y

Answers

Answer:

2x + 7y

Step-by-step explanation:

first we need to align the sample sympols

like this

3x -x + 5y + 2y

then you can easily calculate

Answer:

2x+7y

Step-by-step explanation:

3x-×=2x, 5y+2y=7y

2x+7y

Someone please help me with this!!! (Will mark Brainliest)

Answers

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

Explain why the statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence.

Answers

The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC.

What is congruence?

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

Reflexive Property of Congruence said that an angle line segment or any shape is congruent with itself.

For example, a line segment with a length of 5 meters will be the same as another line with 5 meters or a copy of that line so both will be congruent.

Line LR and RL are the same in length thus line LR ≅ line RL.

Angle CBA and angle ABC are the same thus ∠CBA ≅ ∠ABC.

Hence "The reflective Property of Congruence states that any figure is congruent with itself, therefore line LR ≅ line RL and ∠CBA ≅ ∠ABC".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ1

Can someone please help ASAP assignment due tomorrow!
No 4.

Answers

The area of the large square = 9/4 square inches

There is a total of 25 small equally sized squares inside the large square.

The shaded portion given contains 4 such small equally-sized squares. This shaded portion has an area of 9/25 square inches.

We will first find the area of one small sized square and then will use it to find the area of the large square as the large square is made of 25 such small squares.

That is, area of 4 small squares = 9/25

So area of one small square = Area of 4 small squares/ 4

                                               = (9/25)/4

                                               = 9/(25 x 4)

                                               = 9/100 square inches

Now to find the area of the large square, multiply the area of one small square with the total number of small squares contained in the large square.

That is, Area of the large square = (9/100) x 25

                                                      = 9/4 square inches

Learn more about area of a square at https://brainly.com/question/24487155

#SPJ1

What is the value of x, when -9 (-5) = 1 + 22-¹/?
O A x=1³
I= 1²/
O B. X= 2/1/
OC x=2²/
OD x=2³/1

Answers

I can help you with this equation, if you type it out correctly :). The input you made doesn´t make sense.

Is 1270.8 cm significantly high?
A. No, because it is below the lower limit separating value.
B. Yes, because it is between the limits separating values.
C. No, because it is above the upper limit separating value.
D. No, because it is between the limits separating values.
E. Yes, because it is above the upper limit separating value.
F. Yes, because it is below the lower limit separating value.

Answers

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.

How do you identify the limits separating values that are significantly low or significantly high?

To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.

A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.

Therefore, the correct answer is option A. No, because it is below the lower limit separating value.

To learn more about limit separating values refer to:

https://brainly.com/question/13218341

#SPJ13

A transversal interersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles (consecutive exterior) are 10w and 5v. What are the values of w and v?

Answers

Answer: [tex]v=6, w=15[/tex]

Step-by-step explanation:

The pair of alternate interior angles are congruent, so [tex]5v=2w \implies 10w=25v[/tex].

The consecutive exterior angles are supplementary, so

[tex]10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15[/tex]

ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?

Answers

Answer:

change = $33

Step-by-step explanation:

ndiba wants to buy a wagon that costs $217. how much change does he receive if he gives the cashier $250?

250 - 217 = change

change = $33

{assuming no sales tax]

1. Complete the following transactions and explain how they would appear in your register.

• You open your bank account on April 16 with a tax refund check of $145.00.
• You pay SellUPhone $65.34 on April 18. (Check 794)
• You deposit your paycheck on April 23. ($9.76/hour for 35 hours)
• You buy $61.32 (4% sales tax not included) in clothes from BargainsRUs on April 24
using your debit card.

Answers

The following banking transaction completed will appear in the register as follows:

DATE         COMPUTATION                    BALANCE ($)

April 16    145.00                                       145.00

April 18    145.00-65.34=79.66                79.66

April 23   79.66+(9.76)(35)=421.26          421.26

April 24   421.26-(61.32)(1.04)=357.49     357.49

What is a banking transaction?

Any money that transfers into or out of your bank account is considered a bank transaction. Cash withdrawals and deposits, cheques, internet payments, debit card charges, wire transfers, and loan payments are all examples of bank transactions.

In most contexts, the term "register" refers to the process of documenting an event, transaction, name, or other information, or an accumulation of recorded data, often comprising historical events, transactions, names, or other information. Alternatively, the phrase can refer to a record of all debit account charges.

Learn more about banking transactions:
https://brainly.com/question/2196512
#SPJ1

Please help me I will give you extra points and the crown

Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.

Answers

Answer:

Maggie did not combine like terms correctly when she subtracted 7x from both sides of the equation. Here is a correct solution:

4x + 2 = 7x - 25

-3x + 2 = -25

-3x = -27, so x = 9, not -9

Just in need of help please

Answers

The complete details on the table are

Shape:   Length  Height  Area of 1   Number   Total area

Square       12          12          144            1                144

Triangle      12          15          90             4              360

The surface area is 504 square inches

How to determine the surface area?

The square prism represents the given parameter

On the figure, we have the following highlights:

Shape: Square

Number of shapes = 1Base length = 12 inchesHeight = 12 inches

Also, we have

Shape: Triangle

Number of shapes = 4Base length = 12 inchesHeight = 15 inches

This means that

Area of 1 square = Base length * Height

Area of 1 square = 12 inches * 12 inches

Area of 1 square = 144 square inches

So, the area of all squares in the figure is

Area of all squares = 1 * 144 square inches

Area of all squares = 144 square inches

Also, we have

Area of 1 triangle = 0.5 * Base length * Height

Area of 1 triangle = 0.5 * 12 inches * 15 inches

Area of 1 triangle = 90 square inches

So, the area of all triangles in the figure is

Area of all triangles = 4 * 90 square inches

Area of all triangles = 360 square inches

The surface area of the figure is

Surface area = Area of all triangles + Area of all squares

This gives

Surface area = 360 square inches + 144 square inches

Evaluate

Surface area = 504 square inches

Hence, the surface area of the prism is  504 square inches

Read more about areas at

https://brainly.com/question/76387

#SPJ1

5:2:11=___:6____
Can you please help me I am stuck

Answers

15:6:33

if you go from 2 to 6, that’s been multiplied by 3, so you now need to times the other numbers by 3

Find a formula for the exponential function passing through the points (-2, 4/9) and (3,108)

Answers

Answer:

[tex]f(x)=4(3)^x[/tex]

Step-by-step explanation:

Let [tex]f(x)=ab^x[/tex].

Then,

[tex]ab^{-2}=\frac{4}{9} \\ \\ ab^3=108 \\ \\ \frac{ab^3}{ab^{-2}}=\frac{108}{4/9} \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x[/tex]

F(x)= 4^3 this is because when following the delta method then plugging it into an equation this would be the answer

9(x+y)=3ay solve for y

Answers

When we solve the linear equation for y, we will get:

8*x/(3*a - 9) = y

That is the solution for the variable y.

How to solve the linear equation for y?

Here we have the linear equation:

9*(x + y) = 3*a*y

Where x, y, and a are variables.

We want to solve this linear equation for y, this means that we need to isolate y in one side of the equation, to do so, let's start by expanding the left side:

9*(x + y) = 3*a*y

9*x + 9*y = 3*a*y

Now we move all the terms with y to the right side.

8x = 3*a*y - 9*y = (3*a - 9)*y

Now we divide both sides by 3*a - 9 to get:

8*x/(3*a - 9) = y

That is the equation solved for y.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Find the circumference of a circle with
diameter, d = 7.65m.
Give your answer rounded to 2 DP.

Answers

Answer:

24.03

Step-by-step explanation:

We know  that the formula is pie squared times radius but the radius is half of the diameter but you can also do pie times diameter and get the same answer.

A dealer purchased an old car for 70,000. He spent 17,500 on its repair and painting. Due to lack of demand he had to dispose it at a loss of 12%. What was the selling price of the car?​

Answers

The selling price of the car is 77,000.

First, let's define what a selling price is.

The selling price is the price the customer pays to purchase the good.

Selling price = Cost price – (100% Loss)/100

We are told that the car cost 70,000 and that 17,500 was lost (12%) in repairs and painting.

The car's total cost is equal to 70,000 + 17,500 = 87,500.

So, the car's cost price is 87,500.

Selling price = 100/12/100 x cost price

= 100/12/100 x 87,500

= 0.88 x 87,500

= 77,000

Consequently, the car is being sold for $77,000.

To know more about selling price click at

https://brainly.com/question/27760921

.Higher Order Thinking Ari walked 22 miles
at a constant speed of 2 miles per hour. Beth
walked 1 miles at a constant speed of
1 miles per hour. Cindy walked for 1 hour
and 21 minutes at a constant speed of
1 miles per hour. List the three people in order
of the times they spent walking from least time
to greatest time.

Answers

The three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

In the question ,

it is given that

Ari walked a distance of 22 miles with speed of 2 miles per hour .

Beth walked a distance of 1 mile with the speed of 1 mile per hour.

Cindy walked for the time 1 hour and 21 minutes .

converting 21 minutes to hours , we get

= 1 hr 21 min

= 1+21/60

= 27/20

= 1.35 hours     ....(i)

time required for Ari to walk 22 miles with speed of 2 miles per hour is

time = distance/speed

time = 22/2 = 11 hours         ...(ii)

time required for Beth to walk 1 miles with speed of 1 miles per hour is

time = 1/1 = 1 hours        ....(iii)

From equation (i) , (ii) and (iii) ,

the order of the time they spent walking from least to greatest time is

1 hours < 1.35 hours < 11 hours

Therefore , the three people in order of the times they spent walking from least time to greatest time is Beth < Cindy < Ari .

Learn more about Arrangement here

https://brainly.com/question/3844889

#SPJ1

In a small town, the population increased from 25,000 people in 2010 to
32,000 people in 2020. What is the percent increase in population? What is the answer

Answers

Answer:32000 - 25000 =7000 increase percentage = increase amount

Step-by-step explanation:

Other Questions
Select the correct answer.What does the word doted mean based on the context clues provided?Marvin's grandfather doted on him because he was his only grandson.He loved spending time with Marvin.O A. to show a lot of attentionO B. to show appreciation) C.to be resentfulto be related Emerson argues that solitude is important to the process of self-discovery. Which of the following is a counterargument? Self-discovery occurs in the presence of others. The divine can be experienced in the presence of others. Knowledge about the natural world can only be discovered through books. Interaction with the natural world is crucial to the process of self-discovery. URRGENT PLEASE HELP!!!! DOC ATTACHED Cual es la medida en grados de 10 pi? Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.m arcRP . Pls help me do this Line l contains the points (-1,-5) and (6,4). Line is perpendicular to line l and contains the point (9,3). what is the equation of line ? word problem for 4x - 3 = 17????? WHAT'S THIS?!?! MORE FR3E POINTS!! WOWWWW!!! Robber barons gained their nickname for all of these actions except:A.driving out competitorsB.paying employees extremely low wagesC. Using horizontal and vertical integration, limiting competitionD.sharing industry secrets to enable competition with their company Q.1 Discuss whether or not an increase in income tax rates will improve economic performance. [8] if point c divides a directed line segment from point A to point B in a 1 : 5 ratio, what are the coordinates of point B? What should I expect in my future SAT test?What should I be studying?What grade do you take SAT's in?My younger brother wants these questions answered but I haven't taken the SAT test. Someone kindly help us please. A highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour. Write an inequality that represents the legal driving speeds, s, in kilometers per hour. A cricket. Chirping by rubbing it's wings together is an example of. Instinctive blank behavior The paragraph contains several unnecessary words, including empty words, expletives, wordy phrases, and redundancies. Decide if the underlined selection needs to be revised or if it is correct as is.It seems that one of the most important texts of Mesoamerica is the Quich Mayan work called the Popol Vuh. There is no certainty about the origins of the work, since the first known written version is a phonetic transcription of oral Quich mythology concerning creation and the genealogy of a royal Mayan lineage. The written text seems to have been prepared during the mid-sixteenth century, after the Spanish conquest, but the manuscript is lost. Debates about authorship also seem to exist due to the fact that the point of view of the genealogy portion is quite very clearly biased. The creation myth is a story of quite a number of attempts to create man, from mud, wood, and finally maize. The Mayan world portrayed in the story is filled with rivalries, violence, and transformation of characters. There are both male and female characters who are treacherous and cunning as they trick their rivals and compete for power and recognition.Which option below would be an acceptable revision of the underlined selection? Use the Distributive Property and mental math to find the product. 5(88) Please Explain how to do it. Everyone else is saying the answer is 440, which I know. 1.Write an introductory paragraph on the topic: The benefits of E-Learning.Underline your thesis statement Eight billion eighty-one million, one hundred and one thousand, five hundred and thirty-one in figures can energy be released when matter changes? Can it be absorbed? Can a change in matter take place in which energy is neither released nor absorbed?