if the length of a certain rectangle is decreased by 4cm and the width is increased by 3cm,a square with the same area would result.find the perimeter of original rectangle

Answers

Answer 1

Answer:

The perimeter is 50

Step-by-step explanation:

The original area is LW

The new area is (L-4)(W+3)

These areas are the same

1:      (L-4)(W+3)=LW

You are also told that the new figure is a square, hence

2:     (L-4)=(W+3)

Equation (2) implies

3:     L=W+7

Substitute for L in Equation (1) and solve for W

(W+7-4)(W+3)=(W+7)W

W^2+3W+7W+21-4W-12=W^2+7W

6W+9=7W

W=9

Now use Equation (3) to solve for L

L=16

The perimeter is 2W+2L

P=18+32=50


Related Questions

What is the measurement of angle z PLSS HELP ASAP!!!

Answers

Answer:

77

Step-by-step explanation:

85-69=16

16/2=8

69+8=77

Answer:

z = 154°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is an exterior angle of the triangle, then

z = 85° + 69° = 154°

solve each system by substitution
y=-2x + 7
y = 3x - 13

Answers

Answer:

y = -1, x =4

Step-by-step explanation:

3x-`13=-2x+7

x = 4

y=3(4)-13

y = -1

HELP GIVING BRAINLIEST !!!!!!!!!!!ejejwbhwge

Answers

Answer:

The third one. 12 1/2

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

12[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

5=[tex]\frac{2}{5}[/tex]a

Multiply both sides by 5:

5(5)=5([tex]\frac{2}{5}[/tex]a)

25=2a

Divide both sides by 2:

[tex]\frac{25}{2}[/tex]=[tex]\frac{2a}{2}[/tex]

12[tex]\frac{1}{2}[/tex]=a

please help me!!!!!!!!111

Answers

The answer is A. Divide the amount of almonds by the servings. KFC (keep, change, flip) it, to get your answer. Hope it helps!

Cube of a binomial (a - b) ​

Answers

Answer:

(a - b)³ = a³ - 3a²b  + 3ab² - b³

Step-by-step explanation:

Cube of a binomial (a - b) ​

(a - b)³ = a³ - 3a²b  + 3ab² - b³

I need help with this math problem!! i'll give brainilist to the correct answer :)

Answers

Answer:

Blank 1: x

Blank 2: 1.5

Step-by-step explanation:

blank 1 xblank 2 1.5

#thanks for the points!

#Chloe919

#carry on learning

Write the slope-intercept form of the equation of the line described.
through: (-4, -4), perpendicular to y= -4x-5
PLS SHOW WORK

Answers

Answer:

(4-4 = 0) - (4x5 =20) xDDddd

Answer:

[tex]y = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

The product of the gradients of perpendicular lines is -1.

-4m= -1

m= -1 ÷(-4)

m= ¼

Substitute m= ¼ into the equation:

y= ¼x +c

To find the value of c, substitute a pair of coordinates.

y= ¼x +c

When x= -4, y= -4,

-4= ¼( -4) +c

-4= -1 +c

c= -4 +1

c= -3

Thus, the equation of the line is y= ¼x -3.

points Z(4,3) X(-5,-2) Y(4,-2) plot them and then find the perimeter and area

Answers

Answer:

z(43)x(−5−2)y(4−2)

=−602xyz

Step-by-step explanation: HOpe this help , pls mark me as brainlisti

The length of CD is 12 units. C'D' is the image of CD under a dilation with a scale factor of k.
Which of these are true? Choose all that are correct.

Answers

The length of CD is 24 units.

Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.

Answers

The question is incomplete. The complete question is :

Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.

Where, if any, did Basil first make a mistake in his work?

Solution :

Not -- Basil did not make any mistakes in his work. He found out the perimeter of an enlarged shape.

Perimeter is the total measure of the outer lining or the total outer length of the body or the shape. For different shapes, the perimeters will be different. Basil measure the outer length of the body and found out the perimeter.  

Answer:

C

Step-by-step explanation:

Select the correct answer. .
Which number has a repeating decimal form?
A 15
B 11/25
C 3/20
D 2/6

Answers

Answer:

B

Step-by-step explanation:

I say B because 2 divided by 6 is .333333333 and so on and so forth.

Hope this helped!!

i need help i have 5 minutes left of class i will give brainest if answer make sure to show poof

Answers

Answer for teardrop shape:

64.27

Step-by-Step Explanation:

I used the area calculators on Goggle

Answer for square:

5.7

Explanation:

The shape is a square, so all the sides are equal

5.7 + 6.8 = 12.5

x = 5.7

Answer for trapezoid:

76.95

Explanation:

Again, Goggle

there are 20 students in chess club. two students are to be selected for representing the club in a school meeting. in how many ways can a pair of students be selected from the chess club?

Answers

first way is play a match between all of them and select first Palace and second to be selected in the meeting

e) 6x-(3x+2)=1 how much is the x​

Answers

Answer:

1

Step-by-step explanation:

6x - ( 3x + 2) = 1

6x - 3x - 2 = 1

3x = 1 + 2

3x = 3

x = 3 / 3

x = 1

Hope it will help :)

Answer:

x=1

Step-by-step explanation:

What is the length of the hypotenuse with
the given vertex (-5,0)?
I

Answers

Answer:

5000 square ft

Step-by-step explanation:

Will give brainliest!!​

Answers

Answer:

NO

Step-by-step explanation:

Madeline is going to invest in an account paying an interest rate of 4.4% compounded
annually. How much would Madeline need to invest, to the nearest ten dollars, for
the value of the account to reach $16,600 in 12 years?

Answers

Answer:

$9540

Step-by-step explanation:

A = P(1 + r)^t

16600 = P(1.044)^12

P = 16600/(1.044)^12

P = $9,543.64

ANSWER ASAP!!! PLS HELP.
u can only use these for 15, 16 & 17:
acute equilateral ,
obtuse scalene , right scalene , acute isosceles

Answers

Step-by-step explanation:

15 . It is an acute equilateral triangle.

16. It is an obtuse scalene triangle.

17. It is right scalene triangle.

Hope it will help :)

Bettina bought 8 pairs of socks for $23.20. Nancy bought 10 pairs of socks for $30.00. Nancy says that she paid less per pairs of socks than Bettina. Is Nancy correct

Answers

Answer: yes, Nanay did´t buy more pairs of socks, she had bayed more. I hop that this is helpful.

can you create a equation for this

Answers

Answer:

it's y = 2x

Step-by-step explanation:

░░░░░░░░░▄░░░░░░░░░░░░░░▄

░░░░░░░░▌▒█░░░░░░░░░░░▄▀▒▌

░░░░░░░░▌▒▒█░░░░░░░░▄▀▒▒▒▐

░░░░░░░▐▄▀▒▒▀▀▀▀▄▄▄▀▒▒▒▒▒▐

░░░░░▄▄▀▒░▒▒▒▒▒▒▒▒▒█▒▒▄█▒▐

░░░▄▀▒▒▒░░░▒▒▒░░░▒▒▒▀██▀▒▌

░░▐▒▒▒▄▄▒▒▒▒░░░▒▒▒▒▒▒▒▀▄▒▒▌

░░▌░░▌█▀▒▒▒▒▒▄▀█▄▒▒▒▒▒▒▒█▒▐

░▐░░░▒▒▒▒▒▒▒▒▌██▀▒▒░░░▒▒▒▀▄▌

░▌░▒▄██▄▒▒▒▒▒▒▒▒▒░░░░░░▒▒▒▒▌

▀▒▀▐▄█▄█▌▄░▀▒▒░░░░░░░░░░▒▒▒▐

▐▒▒▐▀▐▀▒░▄▄▒▄▒▒▒▒▒▒░▒░▒░▒▒▒▒▌

▐▒▒▒▀▀▄▄▒▒▒▄▒▒▒▒▒▒▒▒░▒░▒░▒▒▐

░▌▒▒▒▒▒▒▀▀▀▒▒▒▒▒▒░▒░▒░▒░▒▒▒▌

░▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▒▄▒▒▐

░░▀▄▒▒▒▒▒▒▒▒▒▒▒░▒░▒░▒▄▒▒▒▒▌

░░░░▀▄▒▒▒▒▒▒▒▒▒▒▄▄▄▀▒▒▒▒▄▀

░░░░░░▀▄▄▄▄▄▄▀▀▀▒▒▒▒▒▄▄▀

square root of prime numbers from 1 to 20​

Answers

Answer:

maybe the answer is 16

because from 1 to 20, 16 is a number that have a square root.

Hope it helps!

PLZ HELP IM TRASH AT MATH

Answers

Answer:

C should be the answer.

Step-by-step explanation:

Square root of 50 is equal is 7.071.

7.071 is right in between 7 and 8, making it the right answer for C.

Answer:

C??

Step-by-step explanation:

I mean if you put it in the calculator, then you get 7.07 so... lemme know if im wrong :D

Fill in the blank:

I’m diamond, you know I glow up,
Hey, so let’s go
_______________

Answers

Answer:

cause imm in the stars tonight

Step-by-step explanation:

cause I I I'm in the Stars tonight

check whether the given value is a solution to the equation. 3(y+8)=2y
- 6 y=30​

Answers

Answer:

y = 03

Step-by-step explanation:

3(y+8) = 30

3y+24=30

3y=06

y = 06/2

y = 03

2y - 6y = 30

-4y = 30

y = - 15/2

2n^2 + 3n-1
find the 10th term

Answers

Answer:

229

Step-by-step explanation:

t10= 2×10^2+3×10-1

=2×100+30-1

=200+29

=229

Answer:

229

Step-by-step explanation:

[tex]2n^{2} + 3n -1\\[/tex]

[tex]2 (10^{2} ) + 3(10) -1[/tex]

[tex]200 + 29 = 229[/tex]

What is the value of x2+9x+20 when x could be -5, -3 or -6

Answers

Answer:

Step-by-step explanation:

You should use a ^ to indicate an exponent. x^2 is the same as x².

x² + 9x + 20

Replace the x with (-5).

(-5)² + 9(-5) + 20 = 25-45+20 = 0

Then do the same with x = (-3):

(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2

You can do x = (-6)

Find the Difference.

3x + 5 - (2x + 2)

How do I do this step by step?

Answers

Answer: The correct answer is x+3

Step-by-step explanation: To find the answer you must first remove the parentheses then you combine the like terms and that how you get your answer.

Answer:

x + 3

Step-by-step explanation:

A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will it be until the value of the car is 11300 dollars?

Answers

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

in which quadrant does angle theta lie if csc theta <0 and cot theta<0?

Answers

Answer:

Quadrant IV (4)

Step-by-step explanation:

I did the test and the other person was wrong.

The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).

What is meant by Trigonometric Identities?

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

https://brainly.com/question/7331447

#SPJ2

Helpppp!!!!
Work out the size of angle x.

Answers

answer is 118°

hope that helped

118 = x
360-295 = 65
180-65=115
115+127 = 242
360 - 242 = 118
Other Questions
Any one know the answer for these two its OK if you can only do one -4x = 7y + 13Find the slope of the line Please assist me with this problem Please help as soon as you can! You might think that after 200 years, the scientists who find, name, and describeEarth's species would be close to finished. But taxonomists, as organized as they maybe, have no idea how many species Earth has. Nor can they even provide aneducated guess. Although reporting over 16,000 new species every year,taxonomists still cannot predict how many more are undiscovered.In total, taxonomists have categorized and listed 1.2 million species on Earth. At thispoint, you would think scientists should be able to use the information they havegathered to make good predictions about how many species an ecosystem cansupport. This would help them make better predictions about how many species areleft to identify. So far, however, the guesses seem to vary so greatly that it seemsthere is no good theory for making a prediction.One of the main problems is that most of the places that seem to have a lot ofdiverse species are in places that are hard to get to. One such place is the ocean,where scientists believe some 80 percent of Earth's creatures are hiding at depthstoo deep for us to study. In addition, many of the planet's most diverse areas are inremote places with few taxonomists.Despite all the unknowns, scientists have agreed that there are between five and 15million species left to discover on Earth. This is a huge range, but whether it's five or15, taxonomists clearly still have a lot of work to do. And who knows, there may yetbe a dragon or a Loch Ness monster left to discover.Which word from the second paragraph explains what taxonomists do? (1 point)1) Categorized2) Ecosystem3) Support4) Prediction stelar system in Lycopodium 1.(3x + 12)(11x)This is geometry could plz help me Four grams of copper chloride on analysis was found to contain 1.89 of copper and 2.11 g of chlorine what is the percentage of copper in the compound find the area of quadrilateral which all side is 4 cm and diagonal one is 7 and diagonal two is 6 To meet a high demand of energy, a new hydroelectric dam is being proposed in an area. Which of the following describes a possible risk?C. The Dam would produce renewable energyA. the dam produces no radioactive wasteB. the dam produces no toxic hydrocarbonsD. the dam could harm or destroy aquatic wildlife. what is relative density plz answer only if u know ur correct A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the couple had paid $2,250interest.What was the length of the couple's loan? Identify at least one right of U.S. citizens. Describe responsibility that comes with that right. The symbol _____________ means "is similar to" and the symbol ____________ is the abbreviation for the word angle. 9. For an amendment to be ratified, it must be approved by what fraction of the states? C. three-fourths A. one-half B. one-third D. nine-tenths Two trains, Train A and Train B, weigh a total of 389 tons. Train A is heavier than Train B. The difference of their weights is 263 tons. What is the weight of each train? Equation 1: ____________ Equation 2: ___________ Train A weight: ________ Train B weight: ________ does the sabre-tooth currirulum still exist at present?give examples of your evidence La chemise de ma soeur est vert what is the error in this sentence) A) Use the information provided to write complete sentences with the right form of the verbs "ser" or "tener" and the appropriate adjective(singular/plural/ masculine or femenine). 1. mis / hermanos / ser / simpatico 2. mi/ padre / ser / trabajadora 3. yo / tener/ una / mascota / en casa/ 4. Ramon / tener / un gato como mascota. 5. Qu mascota(s)/ tener en casa? tontion to their names and