The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

Area = 88 sq.cm

length * width = 88

(2x + 1)(x + 3)  = 88

2x*(x +3) + 1*(x + 3) = 88

2x*x + 2x*3 + x + 3= 88

2x² + 6x + x + 3 = 88

2x² + 7x + 3 - 88 = 0

2x² + 7x - 85 = 0

2x² - 10x + 17x - 85 = 0

2x(x - 5) + 17(x - 5) =0

(x - 5)(2x + 17 )= 0

x - 5 = 0      {Ignore 2x +17 = 0 as it gives a negative value}

x = 5

b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm

breadth = x+ 3 = 5 + 3 = 8 cm

Perimeter = 2*(length +breadth}

                = 2* (11 + 8)

                = 2 * 19

               = 38 cm


Related Questions

hidden valley motel 32 feet long

Answers

Did you forget to put in the rest of the question?

Solve this equation

(X+1)/4 = x/2

Answers

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

[plz help 20 points
i really need help.

Answers

Answer:

its A

Step-by-step explanation:

5. What is the correct word form of 9.602?

A nine and sixty-two hundredths

B nine and six hundred two hundredths

C nine and sixty-two thousandths

D nine and six hundred two thousandths

Answers

Answer:

D is the correct answer

Step-by-step explanation:

your welcome

Answer:

nine and six hundred two thousandthsStep-by-step explanation:

2x+5+2x+3x in One sloution, and no solution.

Answers

[tex]2x + 5 + 2x + 3x \\ = 7x + 5[/tex]

- BRAINLIEST answerer

Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61​, n=39​, and s=3.79.

Answers

Answer:  210.577

Work Shown:

[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]

Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct

A- 7(X + 3) = 4X - 8
B- 7(X + 3) = 4(X - 8)
C- 7X + 3 = 4X - 8

Answers

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

3/8 rounded to the nearest thousand​

Answers

19/50

llllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Plsss some one help with this

Answers

Answer:

the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12

Determine the corresponding general form of each of the following vertex form

1. y = (x– 1)2

A. y = x2+ x + 1
B. y = x2 – 2x – 1
C. y = x2 – 2x + 1

2. y = (x + 4)2– 5

A. y = x2+ 8x – 11
B. y = x2+ 8x – 21
C. y = x2+ 8x + 21

3. y = -(x + 9)2– 10

A. y = -x2– 18x + 91
B. y = -x2– 18x – 91
C. y = -x2– 18x – 71

4. y = 3(x + 2)2– 18

A. y = 3x2+ 12x – 6
B. y = 3x2+ 12x + 6
C. y = 3x2+ 12x – 14

5. y = -2(x + 1)2– 16

A. y = -2x2– 4x – 18
B. y = -2x2– 4x – 2
C. y = -2x2– 4x – 14

6. y = 5(x + 5)2

A. y = 5x2+ 50x + 125
B. y = 5x2+ 50x + 25
C. y = 5x2+ 25x + 125

7. y =1/2(x + 8)2– 8

A. y = 1/2x2 + 8x + 24
B. y= 1/2x + 8x – 40
C. y = 1/2x2 + 16x + 24

8. y = (x + 3/2)2 + 3/4

A. y = x2+ 3x + 2
B. y = x2 + 6/4x + 12/16
C. y = x2 + 3x + 3

9. y = 2(x + 8)2– 5x

A. y = 2x2 + 32x + 59
B. y = 2x2 + 27x + 128
C. y = 2x2+ 37x + 64

10. y = -5(x – 4)2+ 15
A. y = -5x2+ 40x – 65
B. y = -5x2 – 40x – 65
C. y = -5x2+ 40x + 65​​

Answers

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]

A

8) y = (x + 3/2)² + 3/4

[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!​

Answers

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

Your answer isnt wrong, I dont know why your teacher is saying it is.

I don’t know what the answer Is

Answers

Answer:

Exact Form: x = 10/7

                                 ______

Decimal Form: x = 1.428571

Mixed Number Form: x = 1 3/7

Hope this helps, have a nice day/night! :D

If this helped please mark this as brainliest!

Answer:

In the picture

Step-by-step explanation:

Good luck!

If x=4 then 2(x-4) equals

Answers

First, since we know the value of x, we can plug that into the equation: 2(4-4)
Now, according to PEMDAS, solve inside the parentheses first: 2(0)
Lastly, we can multiply: 2 x 0 = 0

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years

Answers

Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

Note :

~ Appreciation is when money increases

~Deperciation is when money decreases

Hope this helps !!!

what would the answer be

Answers

Answer:

60

Step-by-step explanation:

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

Answers

The answer will be 15 because of the way it looks

Answer:

15

Step-by-step explanation:

What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.

Answers

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?

Answers

Answer:

v is -8

Step-by-step explanation:

The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope, so let's write:

  y = -(2/9)x + b

We can find b by using the one fully given point, (-4, -6).

y = -(2/9)x + b

-6 = -(2/9)(-4) + b

b = -6 - (8/9)

b = -(62/9)

Now we have   y = -(2/9)x - (62/9)

We want the value of y when x is 5 to find v in (5,v):

y = -(2/9)x - (62/9)

y = -(2/9)(5) - (62/9)

y = -(10/9) - (62/9)

y = -(72/9)

y = -8

v is -8

There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?

Answers

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

Write in point slope form the equation for the line that goes through the point (-1,-6) and has a slope of 16

Answers

Answer:

y+6 = 16 (x+1)

Step-by-step explanation:

Point slope form of an equation is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y- -6 = 16 (x- -1)

y+6 = 16 (x+1)

What is the sum of the 2nd cube number and the 1st cube number?

What is the sum of the 2nd cube number and the 1st cube number

Answers

The answer for the 1st question is 8
The answer for the second question is 8

(X-5)(X+6)
Expand and simplify

Answers

X^2+x-30 is the answer

Answer:

Step-by-step explanation:

(x - 5)(x + 6) = x *(x + 6) - 5*(x + 6)

                   =x * x + 6 *x + x*(-5) + 6*(-5)

                    = x² + 6x - 5x - 30    {Combine like terms}

                    = x²  + x - 30

Find the inverse function in slope-intercept form (mx+b):
f(x) = -x - 5

Answers

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.

Answers

Answer:

  z = 3√13

Step-by-step explanation:

The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...

  z = √(9(13))

  z = 3√13

__

Additional comment

In like fashion, ...

x = √(4(13)) = 2√13y = √(4·9) = 6.

__

These relations come about because all of these right triangles are similar. That means their side lengths are proportional.

  long side/hypotenuse = z/13 = 9/z   ⇒   z = √(9·13)

  short side/hypotenuse = x/13 = 4/x   ⇒   x = √(4·13)

  short side/long side = 4/y = y/9   ⇒   y = √(4·9)

FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y

Answers

Answer:

no solutions

Step-by-step explanation:

4x+5y=8

-4x+5y=6

0=2

no solutions

Find x. Isosceles triangle theorems.

Answers

Answer:

x = 70°

Step-by-step explanation:

If two sides of a triangle are congruent, then angles opposite those sides are congruent.

the sum of the interior angles in a triangle is 180°

(180 - 40) : 2 =

70

x = 70°

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

check

70 + 70 + 40 = 180°

the answer is good

pls answer. and show your solution.​

Answers

Answer:

23, - 46, 57, 10, 12

Step-by-step explanation:

(a)

2x + 5 = 2(9) + 5 = 18 + 5 = 23

(b)

4x - 2 = 4(- 11) - 2 = - 44 - 2 = - 46

(c)

x² + 21 = (- 6)² + 21 = 36 + 21 = 57

(d)

[tex]\sqrt{x}[/tex] - 1 = [tex]\sqrt{121}[/tex] - 1 = 11 - 1 = 10

(e)

[tex]\frac{x}{8}[/tex] + [tex]\sqrt[3]{x}[/tex] = [tex]\frac{64}{8}[/tex] + [tex]\sqrt[3]{64}[/tex] = 8 + 4 = 12

Lyndon got a new job which pays $24.25 per hour. He works 40 hours per week. He pays 5% state income tax on his earnings. How much does Lyndon have remaining after state income tax is deducted from 4 weeks of pay?

Answers

Answer:

$3686 remaining after tax

Step-by-step explanation:

Solve for f.
1≤2–f

89 points pls help

Answers

Answer:

f ≤ 1

Step-by-step explanation:

1) Subtract 2 from both sides.

1 - 2 ≤ - f

2) Simplify 1 - 2 to - 1.

- 1 ≤ - f

3) Multiply both sides by - 1.

1 ≥ f

4) Switch Sides.

f ≤ 1

[tex]\\ \sf\longmapsto 1\leqslant 2-f[/tex]

Take 2 to right

[tex]\\ \sf\longmapsto 1-2\leqslant -f[/tex]

[tex]\\ \sf\longmapsto -1\leqslant -f[/tex]

Multiply -1 on both sides

[tex]\\ \sf\longmapsto f\leqslant 1[/tex]

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?


Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Other Questions
PLZZZ HELPPPWhat are the domain and range of f (x) = 1/2 (x+4)^2 - 11Domain: All real numbersRange: f(x) > -11Domain: 3 > -11Range: f(x) > -11Domain: All real numbersRange: All real numbersDomain: 2 > -11Range: All real numbers You have 2.567 grams of water. What is the volume of water(use correct units) which of the lobes of the brain contains the gustatory cortex? What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 C?. how many people were killed in the 2005 indian ocean tsunami? define knowledge by judith butler A personal career profile form evaluates two sets of data, _____. A. Personal information and career information b. Personal values and personal interests c. Career information and career values d. Personal information and personality type Please select the best answer from the choices provided A B C D. Use this section to plan what you will write in the letter.Data Analysis Plant ranking:i need 7 sentences about plant ranking on plants by sand dunes please help me this is due in like 10 minutes i really need help i will give brainleist critical feminist theories need to pay more attention to intersectionality, which is Catullus' lyric poems illustrate the extreme emotions that people often feel in closerelationships. Give two emotions the speaker seems to experience and explain the causeof his feelings. Support your position by citing three specific lines from the poems asexamples. Were Federalists FOR or AGAINST ratification of theConstitution? Why? Pases que han invadido al territorio mexicano en diferentes periodos de su historia con el fin de conquistarlo 2. What is a gene? ________________________________________________________3. What is the difference between gametes and body cells? ____________________________________________________________________________4. Each persons DNA is unique except for who?________________________________________________________________________5. How does each gene code for a protein?__________________________________________________________________________________________________________________________________________________6. Look at the picture of the nucleus, chromosome, and gene and infer what the relationship is of the three things? ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________Please answer all questions Read the story Hayden and Henry Go to Fenwick Island:When Hayden and Henry Holbrook were just 10 months old, their parents enrolled them in swimming lessons at the local pool. By the time they were 10 years old, both boys were excellent swimmers. Hayden was best at the backstroke, Henry at the forward crawl. They were identical twins but they were complete opposites in almost every way. While Hayden liked swimming at the pool where the water was warm and familiar, Henry preferred to swim outdoors. He loved to swim in the pond in their backyard or at the lake where they went to camp each summer. Henry liked to try new things and had recently enrolled in a sea swim race in Delaware, about 3 hours from the boys' home in Elizabethtown, PA.Hayden and Henry had never been to the ocean before. They had travelled a lot in the Midwest, where their grandparents lived, and to upstate New York in the summertime, but they had never been to the coast. Hayden had learned a lot about the New England coast during his shipwreck phase, when he watched loads of documentaries and read every book in the library on the topic."The race is in May, right? According to my research, the temperature of the ocean at the time of year is a chilly 50 degrees," Hayden informed his brother. Henry couldn't be deterred. "Water's water. It's all the same," Henry replied to Hayden's doubts.Henry trained hard. He swam every morning before school at the community pool since the pond was still frozen over. He knew the ocean would be different, but he was determined to take part in the race. Henry thought he even had a good chance of winning in his age category.Soon, spring sprung in New England, and the Holbrooks set out for the sea race weekend on Fenwick Island. That evening, the whole family sat on the beach and watched the sunset as the waves rolled in. Hayden regaled everyone with stories of pirate buccaneers and long-lost shipwrecks, but Henry was unusually quiet. When they had walked along the boardwalk earlier, he had seen a sign warning swimmers about the possibility of jellyfish in the water. Henry never had to worry about jellyfish in the pool, pond, or lake. Perhaps water wasn't just water. One of the boys' favorite movies had a scene where the bad guy tried to flee the scene of a crime on a speedboat, only to fall off and get stung repeatedly by jellyfish. Every time they watched it, the brothers laughed and laughed. Henry wasn't laughing now. He couldn't stop thinking about how much it would hurt if he got stung by a jellyfish during the race. He wasn't sure if he wanted to compete anymore.Hayden soon noticed the look of worry on his brother's face. As they strolled back toward their hotel in the pink twilight, Hayden asked his brother what was on his mind."Jellyfish," Henry responded.Hayden laughed, "Yeah, I was thinking of that scene, too, when we walked past the boat rental place earlier. It cracks me up every time.""I won't be laughing if I get stung during the race tomorrow," Henry said sharply. Then, looking at his brother, he said more softly, "I'm scared of them. I think I'm going to pull out of the race."Hayden was surprised to hear his twin say this. Henry had always been the confident one, always up for taking risks. Giving up just wasn't his style. It upset Hayden to see his brother looking so down and upset, and he knew he had to do something to comfort his brother as Henry had done for him so many times before. Like bolts of lightning, facts that Hayden had read about jellyfish began to zigzag through his mind. 'Of course!' he thought."Henry, remember how I said that the average water temperature in the Atlantic would be around 50 degrees just now?""That's not helpful, Hayden," Henry sighed. "I'm prepared for the cold, just not the possibility of pain.""No, no, that's not my point," Hayden continued excitedly, "Jellyfish prefer warm waters! It's far too cold for them to be out and about in the ocean right now. The probability that you'll see a jellyfish tomorrow, let alone be stung, is very low," he finished triumphantly.A smile spread across Henry's face. "That's brilliant news, Hayden! Thanks so much. I can always count on you and your random knowledge to save the day!" he laughed, throwing his arm around his brother's shoulder.Henry slept like a log that night. The next day, he dove head first into the ocean and swam with all his heart. Just as he had hoped, Henry won his race. When he took the podium to collect his medal, no one was cheering louder than Hayden. He was so happy for his brother and that his words had been so helpful.What is the theme of the story?A Be loyal to your friends.B Don't put off till tomorrow, what you should have done today.C Honesty is the best policy.D With great success, there are obstacles to overcome.I get these a lot but just to let you know pls DO NOT put files in the answer place if you are going to answer pls answer here on brainly.Tysm have a Nice day. please help me!!!! ineed your help:> Which statement is NOT true of money and politics in North America?Select one:O a. The United States accrues national debt by issuing treasury securities to cover the expenses it has that exceed itsincome from taxes and other revenues.O b. Republicans believe that the debt is dangerous and needs to be reduced by cutting government spending.O c. Democrats believe that some government spending, especially health care and education, should be reduced.O d. A major reason for low voter turnout in the United States is the frustration created by the role of money in politics. Fill in the blank with the Spanish word that best completes the following sentenceGloria termina dela casa. Copper is a type of metal.A block of copper has a mass of 2.0kg.The block of copper absorbs 12000J of thermal energy.The specific heat capacity of copper is 385J /(kgC).What is the temperature rise of the copper?A 15.6C B 31.2C C 46.8C D 62.4C Someone, please help me with this. I will give Brainliest As Fortinbras delivers his final two speeches (V, ii, 409-413 and V, ii, 419-427) his tone is MOST accurately described as