8. If the measure of one side of a square is increased by 2 centimeters and the measure of
the adjacent side is decreased by 2 centimeters, the area of the resulting rectangle is
32 square centimeters. Find the measure of one side of the square (the original figure).

Answers

Answer 1

Answer:

  6 cm

Step-by-step explanation:

If the original side length is x, then the modified square has an area of ...

  A = LW

  32 = (x +2)(x -2) = x^2  -4

  36 = x^2 . . . . . . . . add 4

  6 = x . . . . . . . . . . take the square root

The original figure has a side length of 6 cm.

__

Check

The modified figure is 8 cm by 4 cm = 32 cm^2.


Related Questions

Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?

A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.

Answers

The answer is A i think

The experiment is not a binomial experiment because the number of trials is not fixed.

What is a binomial experiment?

A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.

The conditions for a binomial experiment include:

Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.

To learn more about binomial experiments, please check: brainly.com/question/17139967

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

Determine the type of triangle that is drawn below.
5.89
X
V
38°
90°
4.53
7.43
52°
W

Answers

Answer:

Right-triangle

Scalene

Step-by-step explanation:

[] This is a right triangle because it has an angle that is 90°

[] This is a scalene triangle because all of the sides are different lengths

          -> We can also tell this is scalene because none of the angles are the same degree

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Can you help me with this question please!!

Answers

Answer:

Can you help me with this question please!! (D)

Which of the following are terms in this expression? Select all that apply. 6t+7+9s

Answers

6t and 9s are the terms because they have a variable behind them !

Answer:

6t, 7 and 9s

Step-by-step explanation:

In mathematics, a term is either a single number or variable, or the product of several numbers or variables.

Hope this helps!

8. Select all the expressions that represent "10% more than x."
A. 10 + x
B. 0.10 + x
C. 0.1x + x
D. 0.1x + 10
E. 1.1x
F. X(1 + 0.1)

Answers

Answer:

B

Step-by-step explanation:

10/100 = /0.1. it should be more than x so add x to it to be 0.1+X

A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.

Answers

Linear functions are used to represented straight lines.

The linear function is [tex]y = -\frac 12x + 1[/tex]

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Substitute values for x and y

[tex]m = \frac{1 - 0}{ 0 -2}[/tex]

[tex]m = \frac{1 }{ -2}[/tex]

Rewrite as:

[tex]m = -\frac{1 }{2}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac 12(x -0) + 1[/tex]

[tex]y = -\frac 12(x) + 1[/tex]

Open bracket

[tex]y = -\frac 12x + 1[/tex]

Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

What's the value of x?

Answers

Acoording to roman numerals,X is 10

Given the function f(x) = 10x + 8, find each of the following.
f(7)=
f(-8)=
f(0)=

Answers

Answer:8

Step-by-step explanation:

Answer:

f(7)

Step-by-step explanation:

i am pretty sure i am not in highschool so just give me a thanks i am in 6 grade happy rest of the day

Hi. I'm kind of confused on this question. Pls help

Answers

Answer:

B is the awnser.

Step-by-step explanation:

cuz it is incorrect.

A 7-pound bag of cat food costs $13.93. What is the unit price?

Answers

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18​

Answers

Answer:

A

Step-by-step explanation:

To find how many times the distance, we divide the distance to the sun by the distance to the moon.

we get:

(9 * 10^7) / (2 * 10^5)

First, lets isolate and simplify the powers of 10.

(9 /2) * (10^7/10^5)

(9/2) * (10^2)=(9/2) * 100

Solve

9/2*100=4.5*100=450

Find the value of 3a^2+2b, If a=3 and b = 4.

An explanation would be great.

Answers

Answer:

=35

Step-by-step explanation:

3(3) ^2 + 2(4)

= 3(9) + 8

= 35

Where you see a, substitute with 3 and where you see b, substitute with 4

Just follow the steps above.

[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]

[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]

[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]

[tex]\\ \sf\Rrightarrow 27+8[/tex]

[tex]\\ \sf\Rrightarrow 35[/tex]

In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.

Answers

Answer:

YourMom Not Cool

Step-by-step explanation:

yourMom is not cool

STOP CHEATING AND TRYING TO SEE ANSWER

Answer:

5

Step-by-step explanation:

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Answers

15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%

Which expression is equivalent to

Answers

Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?
63 + 36 = (3) (21) + (9) (4)
63 + 36 = (7) (9) + (12) (3)
63 + 36 = 9 (7 + 4)
63 + 36 = 3 (21 + 9)

Answers

Answer:

if im correct the answer is 63 + 36 = 9 (7 + 4)

Step-by-step explanation:

Answer:

The guy above was correct! I hope people see this so that they can trust the provided answer above.

Step-by-step explanation:


The area of a rectangle is greater than or equal to 42 square centimeters. The width of the rectangle is 6 centimeters and the length is
centimeters. Select the possible value(s) of a.
7

Answers

Answer:

≥7

Step-by-step explanation:

6x7=42

Hope that helps

Answer:

x≥7

Step-by-step explanation:

A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh





25 POINTS

Answers

0.385

Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:

4.5 / 12 = 0.385

Each orange weighs 0.385 pounds.

Your answer would be 7 7/8 pounds


.hope this helps!

Help Me on this math equation​

Answers

Answer:

uhhhh what grade level is dis?

Step-by-step explanation:

PLEASE HELP ME!! THANKS :)

Answers

Basically, you plug in c and solve for y, but since I’m here I’ll do that for you.
1. y=7
2. y=17
3. y=21
4. y=24
Btw these are cordinates as (x,y) where the x corresponds to the correct y

Answer:

1. y=7

2. y=17

3. y=21

4. y=24

Step-by-step explanation:

I hope you're able to complete the problem, have a great day/night! <3

please helpppppppppp​

Answers

Answer:

the ANSWER IS D

Step-by-step explanation:

because its multiplication

PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS


5(2.2y+1)-3
11y+5-y
11y+2

Answers

Answer:

Step-by-step explanation:

Remove the brackets

5*2.2y + 5  - 3

11y + 5 - 3

11y + 2

The answer is the last one.

[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]

Solve in between the brackets

[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+2[/tex]

[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]

wich form is more quickly to reveal the y intercept f(x)=3(x-6)^2-75 f(x)=3x^2+36x+33 f(x)=3(x+1)(x+11)

Answers

Answer:

the 2nd option

Step-by-step explanation:

the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept

al dividir A entre 23 se obtuvo 247 de cociente y el residuo fue el maximo. hallar A a)5242 b)5436 c)5703 d)5332 solo esas 4 alternativas tienen que salirte y respondan con resolucion plss

Answers

Aplicando la división, hay que el valor de A es dado por:

c) 5703

Una división es representada por:

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

En que:

c es el cociente.r es el residuo.

En este problema, [tex]b = 23[/tex], y también:

Cociente de 247, o sea, [tex]c = 247[/tex].Residuo maximo, que es 22, o sea, [tex]r = 22[/tex].

[tex]\frac{a}{b} = c + \frac{r}{b}[/tex]

[tex]\frac{A}{23} = 247 + \frac{22}{23}[/tex]

[tex]A = 23(247) + 22 = 5703[/tex]

El valor de A es dado por:

c) 5703

Un problema similar, que tambíen envuelve división, es dado en https://brainly.com/question/14270856

What is the solution to this system of linear equations?
2x + 5y = 34
X+ 5y = 32
A. (2,6)
B. (2,22)
C. (6,2)
O D. (22, 2)

Answers

A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).

What is a linear equation?

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Solving the second equation for x,

x + 5y = 32

x = 32 - 5y

Now, substitue the value of x in the first equation,

2(32 - 5y) + 5y = 34

64 - 10y + 5y = 34

-5y = -30

y = 6

Substitue the value of y in any one of the equation,

x + 5y = 32

x + 5(6) = 32

x = 2

Hence, the solution of the system of linear equations is (2,6).

Learn more about Linear Equations:

https://brainly.com/question/27465710

#SPJ1

I’m in a rush and I need to find the answer quickly

Answers

Answer:

It would be

(1, -3) or D :]

I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]

Answers

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

Other Questions
16.A company sells calculators for $35 each. Businessesmust order a minimum of 100 calculators, and theymust pay a shipping cost of $50. Which amount ofmoney represents a reasonable sum that a businessmight spend to purchase calculators?F $750H $2990G $1070 I $3585 PLEASE HELP ME WITH THIS ASAP !! Which of the following is TRUE?The Percent Daily Value on a food label applies specifically to every person.For a food to be considered "fat-free" it must have 0 grams of fat per serving.The Percent Daily Value on a food label can help you make comparisons between foods.Ground beef that has more than 10 grams of fat per serving is considered "lean." if f (x) =3(x+3)^2 - 10 then calcutlate f (2)pls answer todayyy i need help Select all the expressions that have a value of 180 when b = 4. 87b179+95787 33b12 b2+120 51b24 11b+1872,7561this is 6th grade work. show work becuase i have to turn this in on paper as well Can someone help me write a apology letter to my mom on disrespect A paragraph Circle the compound below that does not contain an alkaline earth metal.Ca(OH)2, Sro, Mg3N2, NaOH, MgCl2, Bas why would a light wave speed up if it moved from air into hydrogen What does evidence from the Nile River region tell you about how production and distribution worked in this society? Explain the difference between trade barriers and migration barriers. 100 pts. & will give brainliest! answer asapevery year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet) a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 secondsd. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds. What geographic obstacles did Alexander's army face? Which letter on the diagram below shows where M phase would occur? (f+g)(x)f(x)= x-3, g(x)= 2x+8 in medice agriculture and conservation application of biotechnology the common gentic unit used is the if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x) PLEASE HELP!! Having more senior citizens and fewer younger citizens could pose significant social issues in Japan. Explain in 3 to 5 sentences. Find an angle betwwen 0 and 2pie that is coterminal with -19pie/10 28. What is one common theme of the Fireside Poets' works?Orighteous indignationO nobility of natureO wisdom of ageuselessness of nature What interest other than perception does the average American have in Ukraine?