A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle

Answers

Answer 1

Answer:

26 inches

Step-by-step explanation:

Area of rectangle

= length ×width

= (2x -1)(x +2)

= 2x(x) +2(2x) -1(x) -2 (expand)

= 2x² +4x -x -2

= 2x² +3x -2

Given that the area is 42 inches squared,

2x² +3x -2= 42

2x² +3x -2 -42= 0 (-42 on both sides)

2x² +3x -44= 0 (simplify)

(x -4)(2x +11)= 0 (factorise)

x -4= 0 or 2x +11= 0

x= 4 or 2x= -11

x= -11/2 (*reject)

Length of rectangle

= 2(4) -1

= 8 -1

= 7 inches

Width of rectangle

= 4 +2

= 6 inches

Perimeter of rectangle

= 2(width +length)

= 2(7 +6)

= 2(13)

= 26 inches

*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.


Related Questions

HaEeiiekekekekekek HELP PLEASS

Answers

Answer:

She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .  

Step-by-step explanation:

Gianna walked 12 miles in 6 hours. What was her walking rate in miles per hour?

Answers

Answer:

2 mph

Step-by-step explanation:

12/6

Her walking rate in miles per hour is 2

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given;

Gianna walked 12 miles in 6 hours

6hours= 12 miles

1hour= 12/6miles

1hour= 2miles

Therefore, the rate of gianna by unitary will be 2mph

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

what is 234 divided by 21 plz help

Answers

Answer:

11 r 3

Step-by-step explanation:

I think this the  answer not too. Hope this helps u.

If f(x)=5(2−3x), what is the value of f(−4)?
PLZ HELP! FOR CROWN!

Answers

Step-by-step explanation:

f ( -4) = 5( 2 -3×4) = 5(2-12) = 5× (-10) = -50

During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?

Answers

Answer:

45.83 over 1  (45.83/1)

Step-by-step explanation:

29.17% sleeping

25% studying

29.17 + 25 = 54.17

100 - 54.17 = 45.83%

convert decimal to a fraction:

45.83 = 45.83 over 1  (45.83/1)

Answer:

[tex]\frac{45.83}{1}[/tex]

Step-by-step explanation:

45.83/1 is your answer!!!!

can i get brainliest plzzz?

One night a theater sold 548 movie tickets. An Adult’s ticket costs $6.50 and a child’s ticket cost $3.50. In all $2881 was taken in. How many of each kind of ticket were sold?​

Answers

Step-by-step explanation:

let x be the number of adults and y the number of childrens

x+y=548 people because thats the whole number of sold tickets

and

6.50*x+3.50*y=2881 dollars in total

let separate x from the first formula

x=548-y

and replace it at the second equation

6.50*(548-y)+3.50y=2881

6.50*548-6.50y+3.50y=2881

3562-3y=2881

3y=681

y=227

so x=548-y=548-227=321

there were sold 321 adult tickets and 227 child's tickets.

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

A. t 45
D. t ≥ 45

Answers

Answer:

d

Step-by-step explanation:

Answer: letter D

Goodluck:)

I need the formula for calculating interest in APR.

Will give Brainliest

Answers

Answer:

To calculate APR, you can follow these 5 steps:

1. Add total interest paid over the duration of the loan to any additional fees.

2. Divide by the amount of the loan.

3. Divide by the total number of days in the loan term.

4. Multiply by 365 to find annual rate.

5. Multiply by 100 to convert annual rate into a percentage.

Don't know if you still need this, but thought I could help!

A particular toddler has an average nap of 2 and half hours. Nap time can vary by about 15 minutes. Write and solve an absolute value inequality that represents this situation.

Answers

Step-by-step explanation:

A middle school took all of its 6th-grade students on a field trip to see a ballet at a theater that has 2500 seats. The students filled 1475 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

  59%

Step-by-step explanation:

  1475 / 2500 = 0.59 or 59%

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is 2x+8y -64 Fully reduce your answer.

Answers

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

What’s the answer??????

Answers

700

Hope this helps ;)
Please mark me as the Brainliest.

Answer:

720 gallons

Step-by-step explanation:

First, find how many gallons are cleaned per hour.

You can use a ratio:

36 gallons  =   x gallons

1/4 hour            1 hour

Cross multiply:

36 (1) = 1/4x

36 = 1/4x

(36 = 1/4x) (4/1)

144 = x

x = 144

Then, use this info to find how many gallons per 5 hours.

You can use a ratio:

144 gallons  =   y gallons

   1 hour              5 hour

Cross multiply:

144 (5) = 1y

720 = y

y = 720

There are 720 gallons cleaned per 5 hours.

- y - 7x = 6
y + 7x = 8

Answers

Answer:

7 ,x is 1/7

Step-by-step explanation:

plss put me b plsss

CORRECT ANSWER WILL BE MARKED BRAINLIEST!

Find the constant rate of change for the representation.

Jazmina brought home a plant. She kept record of the plant's height in her journal over the summer. The following are a few of her journal entries:

Day 3: 15.75 inches Day 6: 19.5 inches

Day 10: 24.5 inches Day 11: 25.75 inches

Day 16: 32 inches Day 21: 38.25 inches

Answers

Answer:

The plant grows approximately 1.25 in. per day.

Step-by-step explanation:

SOMEONE PLEASSEEEE HELP
The greatest common factor of 60w 5y 3 and 78wy 2 is _____
6w y^2
6w^5 y^3
13w^5 y^3
2w y^2

Answers

The answer fam is...... 6wy^2

What is the area of the trapezoid shown below

Answers

Answer:

78 units squared

Step-by-step explanation:

I think 78

Hrhdldkxbdmskshd dahtjfvcjcjc

Answers

Answer:

this sentence is grammatically incorrect

lol

Answer:

Thanks for the points luv

Step-by-step explanation:

Have a good day/night :)

Brainliest pls?

Whats the Square root of 13?

Answers

The square root of 13 is an irrational number so you would just write it as the square root of 13.

Answer:

3.25

Step-by-step explanation:

Go 3.25 units of distance in any direction. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line.

You will have travelled along a square route whose total distance is 13 units. Alternatively you could have turned counter clockwise each time.

emily is thinking of a number which she calls n she finds 1/4 of the number and then subtracts by 3

Answers

Answer:

the answer is y=1/4n-3

Write an expression for the nth term of...
2,1,0,-1...

Answers

Answer:

[tex]a_{n}[/tex] = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n

distributive property to find the answer of 3 x 4 1/5

Answers

Answer:

the first step is to change the mixed fraction into an improper fraction so 4 and 1/5 will be 21/5 so then you question will be three times 21/5 and the answer is 12 and 3/5

(3.955 x 10') + (2.473 x 103) Do help TwT​

Answers

Answer:

294.669'

Step-by-step explanation:

Simply use order of aperations and solve for the equation. Perenthesis then addition for this specific situation.

-8(s+4) = -60

What is the value of s?

Answers

Answer:

s = 3.5

Step-by-step explanation:

Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60

We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60

After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.

20ab
if a = 4 and b = -2)

Answers

-160 is the answer my guy
20( 4)(-2) / (4 -(-2)

-160/ 36

Answer = -4.44

Is 4 x 103 or 2 x 108 larger in value?

Answers

Answer:

4 x 103 is larger and value

Step-by-step explanation:

4 x 103 = 412

2 x 108 = 216

subtraction property of equality​

Answers

It tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

Construction of segments angles and bisectors

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r?

Answers

Answer:

What are the steps for using a compass and straightedge to construct a line through point X that is parallel to line r? Drag the steps and drop them in order from start to finish. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

Step-by-step explanation:

Answer:

1. Use the straightedge to draw a line s that passes through X and intersects line r. Label the point of intersection as point Y.

2. Place the point of the compass on point Y and draw an arc that intersects lines r and s. Label the intersections as points M and N.

3. Without changing the width of the compass opening, place the point of the compass on point X and draw an arc that intersects line s. Label the intersection as point P.

4. Place the point of the compass on point M and open it to width MN.

5. With the compass opening set to width MN, place the point of the compass on point P and draw an arc that intersects the arc that was drawn from point X. Label the intersection of the arcs as point Z.

6. Use the straightedge to draw XZ.

Step-by-step explanation:

Verified correct with test results!!

HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

substitiuting the values repectively gives you the answer for the other.

HELP Lines a, b, c, and d intersect as shown below.


What is x

Answers

Answer:

x = 109°

Step-by-step explanation:

Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.

Therefore, angle x and the angle measure of 109° are alternate exterior angles.

Alternate exterior angles are congruent.

x = 109°.

SOMEONE PLS HELP ME PLEASE I BEG U AND SHOW WHY PLS I BEG

Answers

Answer:

The answer is less than one

Step-by-step explanation:

Because 1/2= less than 3

1 1/2= 3 and is less than 9

2 1/2= 5 not 15

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