The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x+ 2 centimeters,
a. Find the side lengths of the rectangle. Justify your answer.
b. Find the perimeter of the rectangle.

Answers

Answer 1

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

Answer 2

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

What is perimeter of rectangle?

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

What is area of rectangle?

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

24 = [tex]x^{2} +2x[/tex]

[tex]x^{2} +2x[/tex] - 24 = 0

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

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Related Questions

Put these numbers in order, smallest to largest,
0.77
0.777
0.707
0,077
0.7

Answers

Answer:

0.07  0.77  0.77  0.707  0.777  

Step-by-step explanation:

I think

0.077, 0.7, 0.707, 0.77, 0.777

The square below has an area of 1 + 2x + 2^2 square meters.
blying
What expression represents the length of one side of the square?


Answers

Answer:

The expression representing length is (x+1).

Step-by-step explanation:

Area of square = [tex]1+2x+x^2[/tex]

We need to find length of square

We know that: [tex]Area\:of\:Square=(Length)^{2}[/tex]

Putting values and finding length

[tex]Area\:of\:Square=(Length)^{2} \\\\1+2x+x^2=(Length)^{2}\\(Length)^{2} = x^{2} + x +x +1\\(Length)^{2} = x( x+1) +1 (x +1)\\(Length)^{2} = (x+1)^{2}\\Length = (x+1)[/tex]

So, the expression representing length is: (x+1)

Which function of x has the least value for the y-intercept?
A
y=-4x+ 15
Х
B
Х
4
3
2
1
-4-3-2-1
-1
-3
-
С
y=2x-3
D
x

Answers

Answer:a

Step-by-step explanation:

Tessa bought a new phone charger that has a 0.75 meter long cord. Which of the following is equivalent to 0.75 meters?

F.
75 cm

G.
0.75 cm

H.
750 cm

J.
7,500 cm

Answers

Answer: 75 cm

Step-by-step explanation:

the answer is f

1 m = 100 cm

Examine the work shown. Explain the error and find the correct result.

2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54

Answers

Answer:

= 6

Step-by-step explanation:

in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been

-24 - (-30)

-24 + 30

= 6

Answer:

yo wassup

Step-by-step explanation:

The product of two numbers with different signs is negative, so 2(-12) = -24, not 24. Then -24 — (-30) = -24 + 30 = 6.

sample response on edge

see ya

SAVINGS Natalie has $250 in her savings accountinto which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w) = 250 + 10w , where w represents the number of weeks. Write a function g(w) to represent the balance of Natalie's savings account if she withdraws $40 to purchase a new pair of shoes. Describe the translation of f(w) that results in g(w) .

Answers

Answer:

[tex]g(w) = 210+ 10w[/tex]

Step-by-step explanation:

Given

[tex]f(w) = 250 + 10w[/tex]

[tex]Withdrawal = \$40[/tex]

Required

Determine g(w)

First, we'll write an expression for g(w)

From the question, we understand that she withdrew $40 from her account balance in w weeks.

This implies that:

[tex]g(w) = f(w) - 40[/tex]

Where f(w) is the account balance in w weeks and $40 is the withdrawn amount

Substitute 250 + 10w for f(w)

[tex]g(w) = 250 + 10w - 40[/tex]

Collect Like Terms

[tex]g(w) = 250 - 40+ 10w[/tex]

[tex]g(w) = 210+ 10w[/tex]

Recall that:

[tex]g(w) = f(w) - 40[/tex]

This means that function f(w) when shifter by 40 units downward, gives g(w)

15-18, use the properties of the exponents to write an equivalent expression for each given expression.


15. (4⁴)³



16. 3¹²




17. 4⁵ • 4²



18. 6⁴ • 2⁴











please help!

Answers

15.

[tex]( {4}^{4} ) {}^{3} [/tex]

[tex] = {4}^{4 \times 3} [/tex]

[tex] = {4}^{12} [/tex]

[tex] = 16777216[/tex]

___________________________________________

16.

[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]

[tex] = {3}^{12 - 3} [/tex]

[tex] = {3}^{9} [/tex]

[tex] = 19683[/tex]

___________________________________________

17.

[tex] {4}^{5} \times {4}^{2} [/tex]

[tex] = {4}^{(5 + 2)} [/tex]

[tex] = {4}^{7} [/tex]

[tex] = 16384[/tex]

___________________________________________

18.

[tex] {6}^{4} \times {2}^{4} [/tex]

[tex] = ({6 \times 2})^{4} [/tex]

[tex] = {12}^{4} [/tex]

[tex] = 20736[/tex]

Angle 4 = 104 degrees Angle 6 = (2x - 4) degrees Solve for x.

Answers

Answer: x = 40

Step-by-step explanation:

    104 + 2x -4 = 180

104 - 4 + 2x  = 180

100 + 2x = 180

2x = 180 -100

2x = 80

x = 80/2

x = 40

t= u+v/2 for u

•u= 2t+v
•u= 2t/v
•u= 2(t-v)
•u= 2t-v

Answers

Answer:

u=2t-v

Step-by-step explanation:

t=(u+v)÷2 |×2

2t=u+v

-u=v-2t |:(-1)

u=-v+2t

u=2t-v

The record high temperature recorded one year was 93°F while the record low temperature that year was -21°F. How much warmer was the high temperature than the low temperature?

114°F

-72°F

-114°F

72°F

Answers

Answer:

114°F

Step-by-step explanation:

114 + -23 = 93

the answer is a—-114

Find the measure of the missing angle

Answers

Answer: b=112 degrees and c=68

Step-by-step explanation:

Answer:

b = 112, c = 68

Step-by-step explanation:

The angle of a line is 180 degrees.

If an angle is 112, 180-112=68 so that blank space will be 68 degrees.

180-68=112, so b=112.

Since b is 112, we now that c is 68.

Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes, Adsila fills 11 boxes every hour. How many boxes does Carlos fill every hour?

Answers

Answer:

Carlos fills 16 boxes per hour.

Step-by-step explanation:

Given that:

Adsila and Carlos are working together to fill the gift boxes for soldiers.

Number of boxes filled while working together in 4 hours = 108 boxes

Number of boxes filled while working together in 1 hour = [tex]\frac{108}{4} = 27[/tex] boxes per hour

Number of boxes filled by Adsila every hour = 11 boxes

To find:

Number of boxes filled by Carlos every hour = ?

Solution:

Number of boxes filled every hour while working together = Number of boxes filled every hour by Adsila + Number of boxes filled every hour by Carlos

Number of boxes filled every hour while working together = 27 = 11 + Number of boxes filled every hour by Carlos

Number of boxes filled every hour by Carlos = 27 - 11 = 16

What is the equation of the line that passes through the point (5, 7) and is parallel to the graph of y = x - 3

Answers

Answer:

y = x + 2

Step-by-step explanation:

Well, to be parallel, the slope has to be equal to eachother, so we can say m=1

setting the equation up:

y-7 = 1(x-5)

y = x + 2

Answer:

y = x + 2

Step-by-step explanation:

Well, to be parallel, the slope has to be equal to each other, so we can say m=1

setting the equation up:

y-7 = 1(x-5)

y = x + 2

I WILL GIVE BRAINIEST!! What is 5x+2y=24 in slope intercept form?

Answers

Answer:

I'm not sure what you mean but I will solve for everything

2y = 24 - 5x

y = -(5/2)x + 12

y int. = 12

slope is -5/2

x int = 24/5

I get it now

slope int. form is y = mx + b where m is -5/2 and b is 12

What is the value of x in the solution to this system of equations?

3x−6y=45

y=−2x+5

Answers

3x - 6(-2x+5) = 45 (substitutes y)
3x + 12x - 30 = 45
15x - 30 = 45
15x = 15
x = 1

Pleaseee , whic graph represents the inequiality?

Answers

The answer is D.



Step by Step:
not needed.

HELP PLS I HAVE 5 min
Pls guys I’ll make u brainliest

Answers

The correct option is option a

Answer:

fifth option

Step-by-step explanation:

The terms of an arithmetic sequence are made by adding the same value, the common difference, each time

Someone please help me match the name with the Polynomial. Thank you in advance, I will give Brainliest to the correct answer. :)

Answers

Answer:

[tex]1.\ -117 ----> Constant\ Monomial\\As\ it\ is\ an\ expression\ with\ only\ 1\ term,-117\ which\ has\ a\ degree\ of\ 0\ as -117x^0 ,and\ is\ a\ constant.\\ 2.\ x^2- x^4-10 -----> Quartic\ Polynomial\\\As\ it\ is\ a\ polynomial\ \ with\ a\ degree\ 4\ as\ it\ has\ (-x^4).\\ 3.\ 16x-x^8------> 8th\ degree\ binomial.\\As\ it\ is\ a\ polynomial\ with\ the\ term\ -x^8\ which\ gives\ the\ polynomial\ its\ 8th\ degree.\\[/tex]

[tex]4.\ x-3x^2-9-x^3---->Cubic\ Polynomial\ with\ 4\ terms\\As\ it\ is\ a\ polynomial\ containing\ 4\ terms(x, -3x^2,-9,-x^3)\\ and\ having\ a\ degree\ of\ 3\ due\ to\ -x^3.\\ 5.\ x^2-4x+1 ----> Quadratic Polynomial\\As\ it\ is\ a\ polynomial\ with\ the\ degree\ 2\ due\ to\ x^2.[/tex]

8. Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.

B.What was the percent markdown, rounded to the nearest whole percent

Answers

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52 x 2 = 105

Hence, markdown or discount Sheila's friend gave her is =

105 - 90 = 15

The answer is $15.

Answer:

15

Step-by-step explanation:

105 - 90 = 15

Does someone know how to solve this problem?

Answers

Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4   b = 7   c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad

I need help with this

Answers

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

increase 300 by 12%.

Answers

Answer:

300, percentage increased by 12% (percent) of its value = 336

Step-by-step explanation:

Please help and explain
A man is walking 3 miles per hour toward point B

from point A. At the same time, a woman is

running 6 miles per hour toward point A from

point B. If point A and point B are 15 miles apart,

how far from point B will they meet?

E. 5 miles

F. 6 miles

G. 9 miles

H. 10 miles
PLEASE PLEASE HELP I NEED THIS ANSWER

Answers

Answer:

6 miles

Step-by-step explanation:

because the common denominator is 12 so the man will walk 12 miles in 4 hours and the woman will walk 12 miles in 2 hours so they will meet in the middle

If point A and point B are 15 miles apart, they will meet H) 10 miles from point B.

The answer to the question is H: 10 miles.

To solve this problem, we can use the concept of relative velocity. Relative velocity is the velocity of one object as seen by another object. In this case, the man and the woman are moving towards each other, so their relative velocity is the sum of their individual velocities.

The man's velocity is 3 miles per hour and the woman's velocity is 6 miles per hour, so their relative velocity is 3 + 6 = 9 miles per hour.

We know that point A and point B are 15 miles apart, so they will meet when the distance between them is 0. The time it takes them to meet is 15 / 9 = 5/3 hours.

In 5/3 hours, the man will travel 3 * 5/3 = 5 miles and the woman will travel 6 * 5/3 = 10 miles. Therefore, they will meet 10 miles from point B.

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just answer 15 I need help on math​

Answers

15.3 would be the answer

Answer:

15.3

Step-by-step explanation:

Maritza says that the number y is equal to 2 more than 3 times x. Which of the following equations could be used to find the value of y.

Answers

Answer:

C

Step-by-step explanation:

Elliot ate 3/8 of a pizza that was cut into 8 slices. How much is left?

Answers

Answer:

5/8

Step-by-step explanation:

Answer:

Convert to a decimal by dividing the numerator by the denominator.

0.046875. Then, change the decimal into a fraction which is 3/64ths

The cost to rent a lodge for a family reunion is $975. If 65 people attend and pay the same price, how much does each person pay? Write an expression to represent the problem.

Answers

Answer: 15

Step-by-step explanation:

if 975 dollars paid for 65

975/65=15

Complete the steps for x.
5/6x- 1/5x =19
5/6x- 1/5x =19
?/30x=19

Answers

Answer:

x = 30

Step-by-step explanation:

5/6x- 1/5x =19

Get a common denominator of 30

5/6x * 5/5  - 1/5x * 6/6 = 19

25/30x - 6/30x = 19

19/30x = 19

Multiply each side by 30/19

19/30x * 30/19  = 30/19 * 19

x = 30

Answer:

5/6x- 1/5x =19

5/6x- 1/5x =19

?/30x=19

19/30x = 19

x = 19 / 19/30

x = 19 * 30/19

x = 30

I Just want to make sure this is correct..​

Answers

Answer:

Yes that is the right answer

Answer:

no, because each output has an input of one

Step-by-step explanation:

hope this helps...

I need to find angle D​

Answers

Angle D is 23 because
127+30+x=180
157+x=180
x=23
The answer is 23 add 127 and 30 and you get 157 and subtract that by 180
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