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

Solve:

1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.

The true solution(s) to the radical equation

Answers

The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8

The given equation is:

[tex]3-k=\sqrt{3k+1}[/tex]

Square both sides of the equation

[tex](3-k)^2=3k+1[/tex]

Expand the left side of the equation above

[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]

Write the quadratic equation in standard form

[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]

Factor the quadratic equation

[tex](k-8)(k-1)=0[/tex]

Use the zero product property

k - 8 = 0

k = 8

k - 1 = 0

k = 1

The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8

Learn more here: https://brainly.com/question/25840704

answer

first one: 8 and 1

second one: is 1

Step-by-step explanation:

slay

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp

Answers

Answer:

(-6,-5)

Step-by-step explanation:

y2-y1

x2-x1

subtract then you get the answer

5 ex to the power of 2. minus 36 ex. + 36. = 0

Answers

Answer:

The answer is x=6

2.03x13 using standard algorithm

Answers

It came 26 by above calculation.

Ok done. Thank to me :>

A geodesic dome has a hexagonal floor. If the diagonal of the floor is to be 24ft. 8in., what is the distance around the floor?

Answers

Answer:

e

Step-by-step explanation:

e

Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.

Answers

The graph is wrong, the slope is correct but because the sign is less than y that means the line on the graph should be dotted not solid.

Classify −3x4−x3+4x2+12 by degree.

Answers

Answer:

Fourth degree or quartic

Step-by-step explanation:

As the highest power is 4, it is a quartic.

Six less than a number is twenty

Answers

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:

A.
travel deep underground to take soil samples in a mine.

B.
meet with large cereal companies to take test the safety of their products.

C.
collect soil and water samples in a bay.

D.
climb into an attic to inspect for termite damage.

Answers

Answer:

meet with large cereal companies to take test the safety of their products.

Step-by-step explanation:

Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.

There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

62%

Step-by-step explanation:

120-46=74

74/120 don't use

simplify 37/60

to percent; 62%

What logarithmic function represents the data in the table?


x f(x)
216 3
1296 4
7776 5

Answers

Answer:

Step-by-step explanation:

216 =6^3

1,296 = 6^4

7,776 = 6^5

x = 6^f(x)

log x = log 6^f(x) = f(x)log 6

f(x) = log x / log 6 =

Write... the number 7 as a fraction with the denominator 3.​

Answers

Answer:

[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]

Step-by-step explanation:

[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]

Answer:2[tex]\frac{0.3}{3}[/tex]

Step-by-step explanation:

For a friend who's struggling


"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.

Will give brainliest!

Answers

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Find the slope of the line passing through the points (-3, 3) and (5, 9).

Answers

Answer:

Step-by-step explanation:

9-3/5- -3=  slope= 6/8 or 3/4

NEED HELP ASAP GEOMETRY QUESTION 20 POINTS!!!!​

Answers

Answer:

X= 12

Step-by-step explanation:

Write an inequality that represents the graph.

Answers

Answer:

fncscscsdcsdcsadcsddcscsdcs

Step-by-step explanationso you do nine 9 x9

Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?

Answers

Answer:

$1.13

Step-by-step explanation:

You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13

pls help me! (more info in photo)

Answers

Answer:

x+ 3/2y= 15

Step-by-step explanation:

8x+12y=120

To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.

x+ 3/2y= 15

Solve for x.
z=(x-8)k

Answers

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

i need help with this!!

Answers

Answer:

Answer: x <-4

Step-by-step explanation:

you need to do it step by step and use something that will help

8x-4<-36

8x<-36+4

8x<-32

Answer: x<-4

Determine which postulate or theorem can be used to prove that ASEA = A PEN E O A. ASA OB. SSS O C. AAS O D. SAS​

Answers

Answer:

asa is the correct answer

The postulate or theorem can be used to prove that triangles are congruent is ASA rule.

What are congruent triangles?

Two triangles are said to be congruent when they have congruent corresponding parts.

Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,

∠ S ≅ ∠ P [given]

∠ SEA ≅ ∠ PEN [vertically opposite angles]

SE ≅ EP [given]

∴ Δ SEA ≅ Δ PEN by ASA rule

ASA rule :-

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Learn more about congruent triangles click;

https://brainly.com/question/22062407

#SPJ7

help me please...
At least an explanation

Answers

Answer:

do u still need this question answeered?

Step-by-step explanation:

Determine whether the data in the table can be modeled by a linear equation. Explain.

If possible, write a linear equation that represents y as a function of x

Answers

Answer:

yes, because they're varying in a constante rate

y = -1/2x +3.5

What is the value of (-a) to the 4th power / (-a) to the 3rd power

Answers

Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus

Answers

Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

PLEASE HELP ONLY ANSWER IF YOU KNOW ITS CORRECT​

Answers

Answer:

D

Step-by-step explanation:

lx+2l+7>10 /-7

lx+2l>3

if x >0, x+2>3 /-2, x>1

if x <0, x+2<-3 /-2, x<-5

57 yard . ×/1 yard =171 ft.

Answers

Answer:

the answer should be b good luck

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

The information is on the image​

Answers

Answer:
-16
hope this helps

PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH

Answers

Pay attention in school bud

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