The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m


Related Questions

Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT

Answers

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

B setting is another word for characterization

evaluate 5(ax4)+b,
when a=1/3 and b=12

Answers

you just need to put the values of a and b where they have to be

.

hope I helped!

I watch television from 5 o clock until half past. How long do I watch for?

Answers

Answer:

5:30

Step-by-step explanation:

Important info:

watch television from 5 o clock until Half Past.

Question to Answer:

How long did you watch.

Note:

Half of 1 Hour = 30 Minutes

Solution:

5:30

Therefore You watch television until 5:30

Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?

Answers

Answer:

i don't know

Step-by-step explanation:

Hey y’all please help me ASAP.

Answers

Answer:

the top right box

Step-by-step explanation:

Answer:

-g-8≥9

Step-by-step explanation:

Just ask.

Hope this helps. :)

James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)

Answers

Answer:

His total distance is 149 miles.

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin.  Then add that value with 42 and 45.

Can someone plz help me?

Answers

Answer:

A. 5(y+3) = 5(3+y)

Step-by-step explanation:

Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS

Answers

Answer:

Step-by-step explanation:

6xy^3

Calculate the measure of angle L

Answers

Answer:   15

==================================================

Explanation:

Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.

For any quadrilateral, the four angles always add to 360 degrees.

L+M+O+P = 360

L+90+165+90 = 360

L+345 = 360

L = 360-345

L = 15

Another route you can use is the fact that opposite angles L and O are supplementary

L+O = 180

L+165 = 180

L = 180-165

L = 15

In which of the following numbers does the digit 2 represent tens? *
2517
342
720
518.2

Answers

Answer:

  720

Step-by-step explanation:

The digit 2 is the second digit left of the decimal point in the number ...

  720

_____

2517 --- 2 is in the thousands place

342 --- 2 is in the ones place

720 --- 2 is in the tens place

518.2 --- 2 is in the tenths place

(8y²)(-3x²y²)(2/3xy⁴)

HELP PLEASEEEEEEEE

Answers

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

can someone help me please?

Answers

Answer:

1) x = 3, y = 2 or (3, 2)

2) x = 0, y = 2 or (0, 2)

6) x = 3, y = – 4 or (3, – 4)

Step-by-step explanation:

I will only provide solutions for questions 1, 3, and 6 in accordance with Brainly's guidelines.

Question 1:  

[tex]\displaystyle\mathsf{\left \{ {{\:\:Equation\:1:\:y\:=\:-2x\:+\:5} \atop{Equation\:2:\:y\:=\:-x\:+\:2}} \right. }[/tex]  

Substitute the value of y in equation 2 into the first equation:

y = -2x + 5

-x + 2 = -2x + 5

Add 2x on both sides:

-x + 2x + 2 = -2x + 2x + 5

x + 2 = 5

Subtract 2 from both sides to isolate x:

x + 2 - 2 = 5 - 2

x = 3

Substitute the value of x into Equation 2 to solve for the value of y:

y = -x + 5

y = -(3) + 5

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = 2 or (3, 2).

Question 3:

[tex]\displaystyle\mathsf{\left \{ {{Equation\:1:\:3x\:+\:5y=\:10} \atop{Equation\:2:\:y\:=\:-5x\:+\:2}} \right. }[/tex]

Substitute the value of y from Equation 2 into Equation 1:

3x + 5y = 10

3x + 5(-5x + 2) = 10

Distribute 5 into the parenthesis:

3x + -25x + 10 = 10

Combine like terms:

-22x + 10 = 10

Subtract 10 from both sides:

-22x + 10 - 10 = 10 - 10

-22x = 0  

Divide both sides by -22 to solve for x:

[tex]\displaystyle\mathsf{\frac{-22x}{-22}\:=\:\frac{0}{-22}}[/tex]

x = 0

Substiute the value of x into Equation 2 to solve for y:

y = -5x + 2

y = -5(0) + 2

y = 2

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 0, y = 2 or (0, 2).

Question 6:

[tex]\displaystyle\mathsf{\left \{\quad\:Equation\:1:\:-2x+6y=\:-30} \atop{Equation\:2:\:y-2x=\:-10}} \right.}[/tex]

Add 2x to both sides of Equation 2 to isolate y:

y – 2x = –10

y – 2x + 2x = 2x – 10

y = 2x – 10

Substitute the value of y from the previous step into Equation 1:

– 2x + 6y =  – 30

– 2x + 6(2x – 10) =  – 30

Distribute 6 into the parenthesis:

– 2x + 12x  – 60 =  – 30

Combine like terms:

10x – 60 =  – 30

Add 60 to both sides:

10x – 60 + 60 =  – 30 + 60

10x = 30

[tex]\displaystyle\mathsf{\frac{10x}{10}\:=\:\frac{30}{10} }[/tex]

x = 3

Substitute the value of x into Equation 2 to solve for y:

y – 2x = –10

y – 2(3) = –10

y – 6 = –10

y – 6 + 6 = –10 + 6

y = – 4

Solution of the given systems of linear equations:

Therefore, the solution to the given systems of linear equations is: x = 3, y = – 4 or (3, – 4).

What would the graph look like

Answers

Answer I cant read the thing sorry

Step-by-step explanation:

hoped that hepled:)

my Christmas present to you​

Answers

Answer:

yay thx

Step-by-step explanation:

merry xmas

Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2

Answers

Answer:

y=3/2 x+15

Step-by-step explanation:

how can you identify symmetry in a figure?

Answers

Answer:

You can identify symmetry by if on both sides it looks the same.

REPOST BECAUSE OF LINKS ASAP WORTH 70 POINTS IF U ANSWER
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):

Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).

Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.

Answers

Answer/Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

1) Derrick is sharing pizza with his 3 friends. They have 6/8 of a pizza. If they split the pizza evenly, how much pizza does each person get? Show your work with both a model and an equation.​

Answers

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.

Answers

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

please i need help with this

Answers

Given :-

Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .

To Find :-

The equation of line q .

Solution :-

The equation of the line p is ,

[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4

On comparing to slope intercept form of the line which is y = mx + c , we have ,

[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3

Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,

[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]

Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,

[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]

[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]

[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)

[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6

[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x

[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9

Hence the required answer is y = -3/5x - 9 .

Answer:

For Perpendicular lines you have to know

Step-by-step explanation:

Slope of P ×slope of q=-1 (always since they are perpned..)

so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p

so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes

And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b

so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3

uniting the denominater ==>y=-3/5x - 45/5

so that q equation is :y=-3/5x - 9

10x1+2x60/10

Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?

Answers

Answer:

2

Step-by-step explanation:

Convert 34/8 to a decimal using long division

Answers

Answer:  Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

is using a cancalator duh

Given the point and the slope, write the function in point-slope form:

(2,−5);m=23

Group of answer choices
y−5=23(x−2)
y+5=23(x−2)
y−5=23(x+2)
y+5=23(x+2)

Answers

Answer:

2nd answer choice

Step-by-step explanation:

point slope form: y-y1=m(x-x1)

y-(-5)=23(x-2)

y+5=23(x-2)

Answer:

  (b)  y+5=23(x−2)

Step-by-step explanation:

The point-slope form for the equation of a line is ...

  y -k = m(x -h) . . . . . . point (h, k), slope m

You have point (2, -5) and m=23, so the equation becomes ...

  y -(-5) = 23(x -2)

  y +5 = 23(x -2) . . . . . . simplify a bit

Which situation shows a constant rate of change?

A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!

Answers

Answer:

x^2 + 10x - 24 = 0

Step-by-step explanation:

Two zeros are 2 and -12:

x - 2 = 0x + 12 = 0

So the function is (x-2)(x+12) = 0

<=> x^2 + 12x - 2x - 24 = 0

<=> x^2 + 10x - 24 = 0

What is the domain? (Type your answer with commas and no spaces)

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

Step-by-step explanation:

A middle school principal is signing the diplomas of the school's graduating eighth graders.
She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per
second. If the principal signs diplomas for 60 seconds, what will the total number of signed
diplomas be?

Answers

Answer: 67 diplomas

Step-by-step explanation:

0.5 diplomas per second = 1 diploma per 2 seconds

60/2 = 30

30+37 = 67

Correct me if I am incorrect

An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.

The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.

Answers

Answer:

length: 32.25 cmwidth: 10.75 cm

Step-by-step explanation:

Let w represent the width. Then 3w represents the length. The perimeter formula is ...

  P = 2(L +W)

  P = 2(3w +w)

  86 cm = 8w

  w = 10.75 cm

  3w = 32.25 cm

The rectangle is 32.25 cm long and 10.75 cm wide.

Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

Answers

Answer:

Step-by-step explanation:

write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i

Answers

Answer: Choice C

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

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Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. which measurement is in pounds, and which is in kilograms? which principle was adopted in the u.s. constitution to ensure that no one branch of the federal government became too powerful? Identify John Locke's point of view about government based on the key ideas of his belief. The x-intercept of the graph of f(x)= 3 log (x+5)-2 is how many seconds are there in 15 hours show work true of false there was a tie in the election or 1800 Which of the following statements is true?Your physical wellness can affect your social wellness.Your physical wellness can affect your intellectual wellness.Your physical wellness can affect your emotional wellness.All of the above FREE PONITSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS Ross Szabo acted like a normal, happy high school student when he was around other people, but when he was alone, he would cry due to overwhelming feelings of sadness. Ross' behavior suggests that: The information about opportunities and challenges in foreign employn essential for foreign job. Justify this statement with an example. Jarrod earns $12 an hour at his job. The table shows what Dale earns at his job. Which statement is true? Telescopes work by using optics with true or false Fix capitalizationCheered by the audience of a streetcar named Desire Rich Goranski bowed and collected the roses at his feet. A child on ice skates is given a small push from behind by a parent. How are forces used to describe the resulting motion?(1 point)Because of equal and opposite reactions, there will be a force opposing the push from the parent, and they will not move.Because of equal and opposite reactions, there will be a force opposing the push from the parent, and they will not move.There is an unbalanced force on the child, and the childs motion will change direction or increase speed.There is an unbalanced force on the child, and the childs motion will change direction or increase speed.There is a balanced force on the child, and the childs motion will change direction or increase speed.There is a balanced force on the child, and the childs motion will change direction or increase speed.Because of equal and opposite reactions, the child will move in the opposite direction to the force. Which aspect of the capitalist economy includes things found in nature, like air and water?OlandO laborO managementO capital which table can be represented by the equation y=3x+2 6. What tradition do the campers perform before they eat dinner? Why do they do this? Whatmight happen if they don't fulfill this tradition? Use textual evidence Difference between Laboratory Thermometer and Clinical Thermometer. Terrell has been drinking in a bar for several hours. As he is preparing to leave a man, Bob, walks by and bumps against him. Terrell punches Bob in the face hard enough to break his nose. Bob pulls a gun from his pocket and shoots Terrell, killing him. What crime has Bob committed 8. Ten countries participated in the discussion A. took part B. hold C. told D. spoke 9. Theyre offering a 10% .. on all sofas this month. A. reward B. discount C. reduce D. cut 10. Whats the wrong with Loan ? - She cut .... A. himself B. her C. myself D. herself