If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line.​

Answers

Answer 1

Answer:

I need points!!!!!!!!

Step-by-step explanation:

EWWWWWWWWWWWWWWWWWWWWWWWWWWWWW


Related Questions

The front profile of a shed is depicted in the drawing, with the given dimensions. Find the area of this profile of the shed in square feet.

Answers

Answer:

135 ft²

Step-by-step explanation:

The profile is composed of a triangle and a rectangle.

Area of profile = (area of triangle) + (area of rectangle)

= (½×base×height) + (length × width)

Where,

base of triangle = 15 ft

height of triangle = 11 - 7 = 4 ft

length of rectangle = 15 ft

width of rectangle = 7 ft

Plug in the values

Area of profile = = (½×15×4) + (15×7)

= 30 + 105

Area of profile = 135 ft²

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST

Answers

Answer:

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

Step-by-step explanation:

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?

Mathematically this is expressed as:

4(x + 3) + 2x = 6(x + 2)

Verifying the options

a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

When x = 3

4(x + 3) + 2x = 6(x + 2)

4(3 + 3) + 2(3)= 6(3 + 2)

24 + 6 = 6(5)

30 = 30

When x = 5

4(x + 3) + 2x = 6(x + 2)

4(5 + 3) + 2(5)= 6(5 + 2)

4(8) + 10 = 6(7)

42 = 42

Statement in option a is correct

b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.

When x = 1

4(1 + 3) + 2x = 6(x + 2)

4(1 + 3) + 2(1)= 6(1 + 2)

4(4) + 2 = 6(3)

18 = 18

When x = 8

4(8 + 3) + 2x = 6(8 + 2)

4(11) + 2(8)= 6(8 + 2)

44 + 16 = 6(10)

60 = 60

Statement in option b is correct

c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.

When x = 2

4(x + 3) + 2x = 6(x + 2)

4( 2 + 3) + 2(2)= 6(2 + 2)

4(5)+ 4 = 6(4)

20 + 4 = 6(4)

24 = 24

4(x + 3) + 2x = 6(x + 2)

4(6 + 3) + 2(6)= 6(6 + 2)

4(9) + 12 = 6(8)

48 = 48

Statement in Option c is wrong

Hence, Statement in Option a and b is correct

Answer:

C

Step-by-step explanation:

Need help! Need to find both 1 and 2!

Answers

Answer:

How are you supposed to work this out? There is only 1 number then the rest you have to figure out...

Step-by-step explanation:

Im sorry i don't know how to work this :/

You can report this if you want Idc

-Cutepie465

Word Study Directions: Read the question. Then choose the best answer. Which word contains an open first syllable? A. connect B. frozen C. problem D. traffic

Answers

Answer:

B. frozen

Step-by-step explanation:

An open first syllable is one that has a vowel at its end and that vowel causes a long vowel sound at its end. Long vowel sounds are those sounds whose pronunciation is the same as those of the letters.

Among the words listed, fro-zen has a long vowel sound in the form of the o at the end of the first syllable. Thus it can be classified as having an open first syllable.

Evaluate 231a if a = 3.6

Answers

Answer:

831.6

Step-by-step explanation:

if a=3.6    then   231a    is 231 x (3.6) = 831.6

i need help with it like really teacher

Answers

Answer:

i think the answer is B

Step-by-step explanation:

sorry if this was wrong hoped i helped tho

how many minutes are there in h hours and m minutes?
a. h/60+m
b. 60(h+m)
c. h+60m
d. (h+m)/60
e. 60h+m

Answers

Answer:

it would be C i looked it up to double check

Step-by-step explanation:

120=60*2, which is equal you can do it with any number

CAN SOMEONE PLS HELP ME Again before my brain starts crYiNG

Answers

Answer:

C

Step-by-step explanation:

The function on the graph has a slope of 3 which is smaller than a change of 4 and the one on the graph starts at two while to equation starts at 4

Hope this Helps :)

Mrs.Silverstein sold 91 cupcakes at a food fair . The cupcakes were sold in boxes of abc”bakers dozen “ , with is 13 . She sold all the cupcakes at 15$caper box . How much money did she receive?

Answers

Answer:

$105

Step-by-step explanation:

91 divided by 13 times 15

Answer:

$105

Step-by-step explanation:

She sold 91 cupcakes with 13 in a box... so she sold (91/13)=7 boxes

7 boxes sold at $15 each

7 x 15=105 so she receive $105

in the space provided write the opposite of each number

a. 10/7
b.-5/3
c.3.82
d.-6 1/2


Answers

Answer:

a. -10/7

b. 5/7

c. -3.82

d. 6 1/2

Which kingdom was divided into provinces ruled by governors who reported to the king? a Ghana b Mali c Songhai

Answers

Answer: Songhai

explanation:

Answer:

Songhai

Step-by-step explanation:

Please define the following terms:

Maryland, religious toleration, Bacon’s Rebellion, North Carolina, South Carolina, Georgia, ponder, forfeits, pottage, clout, judicious, commodity.

Answers

PLEASE GIVE ME BRAINLIEST! I worked very hard on this and it took my entire class period :(

Answer:

Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.

Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.

Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.

North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.

South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.

Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.

Ponder- To think about something carefully, usually

coming to a conclusion

Forfeits-  To lose or give up as a consequence of something else.

Pottage- To sell something of a rediculiously small amount.

Clout- A piece of cloth or clothing, especially one used as a patch.

Judicious- having, showing, or done with good judgment or sense.

Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.

Answer:

Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.

Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.

Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.

North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.

South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.

Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.

Ponder- To think about something carefully, usually

coming to a conclusion

Forfeits-  To lose or give up as a consequence of something else.

Pottage- To sell something of a rediculiously small amount.

Clout- A piece of cloth or clothing, especially one used as a patch.

Judicious- having, showing, or done with good judgment or sense.

Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.

Which equation shows the relationship between days (d) and weeks (w)? *

Answers

Answer:

I think it is w=7d

Step-by-step explanation:

Abigail's family is buying a small refrigerator for their game room in the shape of a right rectangular prism. The inside measurements are 18 in., 14 in., and 24 in.

Answers

Answer:

Volume = 6048 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume is the capacity of substance that a given measuring object can contain. It can be determined as;

Volume = length x width x height

In the given question, the refrigerator has an internal dimensions 18 inches, 14 inches and 24 inches.

The volume of the refrigerator can be determined as;

Volume = 24 x 14 x 18

            = 6048

Volume  = 6048 [tex]in^{3}[/tex]

Thus, the internal volume of the refrigerator is 6048 cubic inches.

Write an equation like y=mx+b to describe the graph

Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
y=-1/2+0
hope this helped !:)
one-step-solving-equation

Can someone please help me thank you

Answers

30.8

you take 25^2 + 18^2 and find the square root of that which is 30.8 for this problem.

please give me brainliest :)

how do i Evaluate 20^2

Answers

Answer:

boom

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

All you have to do is multiply 20 by itself one time. You get 400.

So, 20^2 is 400.

I NEED THE VALUE OF X

Answers

Answer:

x=18

Step-by-step explanation:

Since the angle is 90, noted by the right angle symbol, we can say that 5x=90

Now we simplify each side.

5x/5 = 90/5

x=18

Please ASAP
The expression -254 + 24m represents a submarine that began at a depth of 254 feet below sea level and ascended at a rate of 24 feet per minute. What was the depth of the submarine after 9 minutes?

Answers

Answer:

-38

Step-by-step explanation:

( sorry if miscalculated or done wrong )

First I multiplied 24 x 9 to see how many feet it had gone up in 9 minutes, then added -254 and the answer of 24 x 9 together.

I need help I don’t know how to do any of this

Answers

The last one is the answer
A :-) (f+g)(x) = f(x) + g(x)
= x^2+1 + 5-x
= x^2-x+6
.•. The answer is option (c) = x^2-x+6 .

The sum of Hunter and Samantha's ages is 50. Samantha is 14 years older than Hunter. Enter Hunter's age. I WILL give brainliest

Answers

Answer:

samatha is 32 hunter is 18

Step-by-step explanation:

trial and error


A store sells bottles of water for $1.50 each. During the first hour the store was open, x bottles of water were sold. During the
second hour, the store sold 3 fewer bottles of water than it sold during the first hour. During the third hour, it sold three times as
many bottles of water as it sold during the second hour. The store was paid a total of $117.00 for bottles of water sold during these
three hours. The equation shown below represents these sales.
1.5x + 1.5(x - 3) + 1.5.3(x - 3) = 117
How much money was the store paid for bottles of water sold during the second hour it was open?
(A) $15.00
(B) $22.50
(C) $27.00
(D) $67.50

Answers

Answer: 22.50$

Step-by-step explanation:

1.5x+1.5(x-3)+1.5*3(x-3)=117

1.5x+1.5x-4.5+1.5(3x-9)=117

3x-4.5+4.5x-13.5=117

7.5x-18=117

7.5x=135

x=135/7.5

x=18

hour 2

1.5(18-3)=

1.5*15= 22.5$

Answer:

The answer is $22.50

Step-by-step explanation:

Caroline is 12 years older than Nick. Mark is 4 years younger than Nick. If the total of their ages is 44, how old is the youngest of them?

Answers

Answer:

Hi there,

Make Nick's age = x

Caroline's age = x + 12

Mark's age = x - 4

x + (x + 12) + (x - 4)

Remove brackets

x + x + 12 + x - 4 = 44

Collect like terms

 

3x = 44 - 12 + 4

3x = 36

x = 12

Mark is 8 yrs old

Nick is 12 yrs old

Caroline is 24 yrs old

Youngest is Mark = 8 years old.

Hope this helps :-)

Answer:

Hi there, Youngest is Mark = 8 years old.

Step-by-step explanation:

Make Nick's age = x

Caroline's age = x + 12

Mark's age = x - 4

x + (x + 12) + (x - 4)

Remove brackets

x + x + 12 + x - 4 = 44

Collect like terms

3x = 44 - 12 + 4

3x = 36

x = 12

Mark is 8 yrs old

Nick is 12 yrs old

Caroline is 24 yrs old

Youngest is Mark = 8 years old.

Hope this helps :-

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d=50t. What are two constants of proportionality for the relationship between distance in kilometers and number of hours? 50 1/50

Answers

Answer:

50

Step-by-step explanation:

Speed is represented according to the equation;

Speed = Distance/Time

Given;

Distance d = 400km

Time t = 8 hours

From the formula

s = d/t

s = 400/8

s = 50

Substitute s = 50 back into the formula;

s = d/t

50 = d/t

d = 50t

This expression means that the speed is directly proportional to t where 50 is the constant of proportionality;

Hence the constant of proportionality for the relationship between distance in kilometers and number of hours is 50

Answer: Two constants of proportionality for this situation are 50 and 1/50. The relationship between these two values are that they are both reciprocals.

Step-by-step explanation:

Geometry problems dealing with diagonals need help answering this smart people pls so

Answers

KN = 18

Step-by-step explanation:

I really don't know how to explain it .

Answer: since KM is the long line, and KN is half of that since the line is half the size of KM, half of KM is 18.

So KN=18

Write an equation to represent each relationship. Then solve the equation. Six times a number plus 4 is the same as the number minus 11. A. 6 + 4 = n - 11; n = 21 B. 4n - 6 = 11n; n = 6/7 C. 6n = 4 + 11; n = 5/2 D. 6n + 4 = n - 11 n = -3

Answers

Answer:

-3

Step-by-step explanation:

Let the unknown number be n

We are to write the expression as equation;

Six times a number plus 4 is the same as the number minus 11.

Six times a number is given as;

6n

Six times a number plus 4 is expressed as 6n+4

The unknown number minus 11 will be expressed as n-11

Finally If Six times a number plus 4 is the same as the number minus 11, them!

6n+4 = n-11

Next is to calculate n;

Collect like terms;

6n-n = -11-4

5n =-15

Divide through by5

5n/5 = -15/5

n = -3

Hence the vale n is -3

The first equation of the system is multiplied by 2. By what number would you multiply the second
equation to eliminate the y variable by adding?
4x – 3y = 6
6x + 2y = 10

Answers

Answer:

we will have to multiply the second equation by 3 to eliminate the y variable by adding.

Step-by-step explanation:

Given the equations

4x – 3y = 6              →   (1)

6x + 2y = 10             →   (2)

As the first equation is multiplied by 2,

2(4x – 3y) = (2)6

8x - 6y = 12               →  (3)

As we have to eliminate y,

so multiply the second equation by 3,

6x + 2y = 10

3(6x + 2y) = 3(10)

18x + 6y = 30              →  (4)

So now adding the new equations (3) and (4) will eliminate the y variable by adding

8x - 6y = 12

18x + 6y = 30

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

26x + 0y = 42

26x = 42

x = 42/26

x = 21/13

Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.

9. Ella purchased 8 passes to the skating rink for $58.00. Each pass cost the same amount. What was the cost of each pass in dollars and cents? ​

Answers

Answer:

7.25

Step-by-step explanation:

58 dollar divided by 8 passes. Each is the same amount, therefore each is 7.25  

MY BANGS ARE GETTING IN MY EYES THEY ARE SO ANNOYING OMG SEND HELP

Answers

not thebayang. the bayang?
Good luck with that

On a piece of paper, graph f(x) = 6× (0.4)^x Then determine which answer choice matches the graph you drew.​

Answers

One a piece of paper, graph f(x)= (0.4)^x. To determine which answer choice matches the graph you drew.

Answer: Graph B

The graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = 6(0.4)×

The domain of the function is all real numbers.

The range of the function:

f(x) > 0

Plug x = 0

y = 6

Thus, the graph of a function f(x) = 6(0.4)× is shown in graph (B) because the domain of the function is all real numbers and the range of a function is f(x) > 0, the y-intercept of the function is (0, 6)

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Other Questions
HELP PLZZWhich policy was supported by the Federalists, but not the Democratic-Republicans? The purpose of art conservation is to: O A. protect and restore works of art. O B. ensure that artists can make enough money to live. O C. maintain the existence of certain styles and techniques. O D. prevent artistic standards from slipping. Artist use different techniques make their prints unique. Which print displays the artist use of silk screening technique read the excerpt from "how the Grimm brothers save the fairytale." for what purpose does the author mentioned the names of various Grimm works in this excerpt? Select three answers I need your opinion for the election. Do you think we should keep the Electoral college? a solution of x2 + 5x = 2 which example correctly use colons ? slect two options i need to buy ; milk,eggs and bacon . to whom it may concern A ball connected to a 1.1 m string and is swing in circular fashion. Its tangential velocity is 15 m/s. What is its centripetal acceleration? Maggie sold 30 boxes of cookies in 6 days. How many days will it take her to sell 100 boxes of cookies? Who was the Roman emperor at the time of the census? How could you experimentally test whether herds of African antelope affect the abundance of plants on which they graze? several different amino acids join together to form a protein. how do any two types of amino acids differ from one another? How was the fighting in the South during the third stage of the war different than in the other stages of the war and regions of the colonies? please hurry. marking brainiest The British only used escaped enslaved males that they trained as soldiers to fight in the SouthIt was a mixture of bloody civil war between civilians, use of guerilla forces for hit-and-run attacks, and battles with standing armiesThe fighting was done only with the large standing armies of the Continental army and the British army.There was very little fighting done as the British only worked to occupy Charleston, South Carolina for its port so it could cut off trade for the southern colonies. "Claim: Volunteerism is what keeps communities strong." Why is this a strong claim for an argumentative essay? (1 point) It is an opinion. It is a false statement. It is a fact. It is a positive statement. How does Industrialization influence competiton... How many solutions does the equation 4x + 8 = 2 2 + 5x have? (1 point) Two One None Infinitely many 1 inch : 12feet. if the actual width of the tent is 36 feet how wide is the tent. 3/45/6 simply this complex fraction have this done correctly for brainiestmeasuring what a microscope What is a third party? Can you name any modern-day or historical third parties in the United States?