A rectangle with positive are has length represented by the expression 3x^2+5x-8 and width by 2x^2 +6x write an expression in terms of c for the perimeter and area of the rectangle give your answer in standard polynomial form and show your work

Answers

Answer 1

Answer:

[tex]c=10x^2+22x-16\\A=6x^4+28x^3+14x^2-48x[/tex]

Step-by-step explanation:

Given

Length is [tex]l=3x^2+5x-8[/tex]

Width is [tex]w=2x^2+6x[/tex]

Perimeter of the rectangle is the sum of the sides

[tex]\Rightarrow c=2(3x^2+5x-8+2x^2+6x)\\\Rightarrow c=2(5x^2+11x-8)\\\Rightarrow c=10x^2+22x-16[/tex]

Area is given by

[tex]\Rightarrow A=(3x^2+5x-8)(2x^2+6x)\\\Rightarrow A=6x^4+18x^3+10x^3+30x^2-16x^2-48x\\\Rightarrow A=6x^4+28x^3+14x^2-48x[/tex]


Related Questions

7. Which relation is a function?
CC8F.1
A. {(0,0). (1.1), (2.2), (0,3)}
B. {(0,0). (0,1),(0,2), (0,3)}
C. {(0,0), (0.1), (1.0), (0.2)}
D. {(0,0), (2.0), (4.0), (6,-2)}

Answers

Answer:

D. relation is a function

hope this helps :-))

The answer is D hope this helps

Which description represents the image below.

Answers

Answer:

d

Step-by-step explanation:

the correct answer is d

If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?

m m=
n =

Answers

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times h[/tex]

Where, b is the base and h is the height of the triangle.

[tex]Area=\dfrac{1}{2}\times a\times h[/tex]

The area of the triangle ABC is D.

[tex]D=\dfrac{1}{2}\times a\times h[/tex]

[tex]2D=ah[/tex]

[tex]\dfrac{2D}{a}=h[/tex]                  ...(i)

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin B =\dfrac{h}{c}[/tex]

[tex]\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}[/tex]              [Using (i)]

[tex]\sin B =\dfrac{2D}{ac}[/tex]

[tex]m\angle B =\sin ^{-1}\dfrac{2D}{ac}[/tex]            ...(ii)

We have,

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]          ...(iii)

On comparing (ii) and (iii), we get

[tex]m=2D[/tex]

[tex]n=ac[/tex]

Therefore, the required values are [tex]m=2D, n=ac[/tex].

solve for -3x ≤ -9
I need it for math so be correct

Answers

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer please it will make my day

Answers

The answer is D

Explanation: 4x+8x=180
12x=180
x=15

4(15)=60 8(15)=120

hope this helped:)

Find the volume of the cylinder. Either enter an exact answer in terms of pi or use 3.14 for pi . units3​

Answers

Answer:

Step-by-step explanation:

Tienes que multiplicar el seis y el cuatro lo que te multiplicarlo por 3,14y después dividirlo por dos

The graph shows how many miles Barrett traveled over a 5 hour time frame. The point (1,50) is on the graph what is the unit rate for the first hour?​

Answers

Answer:

Step-by-step explanation:

The answer is B 50

Plz solve ASAP plz plz

Answers

Answer:

1,243.88 units² I think

Step-by-step explanation:

22 x 22 = 484

A = (3.14 x 11²)2 = 759.88

759.88 + 484 = 1,243.88 units²

Pls help ASAP will mark Brainlyest!!

Find the area of the following figure.

1. 312 cm2
2. 400 cm2
3. 252 cm2
4. 300 cm2

Answers

Answer:

312cm2

Step-by-step explanation:

Area of the triangles:

A =1/2bh

A=1/2(10*12) = 1/2*120=60.

There are two triangles. 60*2=120. 120 is the area of both triangles.

Area of the rectangle:

16*12=192.

120+192=312cm2

312.cm


Explanation: I had this question before I got 100. Please give Brainlyest

Which length is equal to 4 yards 3 feet?

Answers

Answer:

12

Step-by-step explanation:

in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of boys is 7:5 then find a) the number of girls b) the number of boys c) the total number of students​

Answers

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]

"Cross multiply" to get

[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!

Justin and Ari go on a 30 km run. They usually run together at a speed of 10 km/h. If they start together but Justin runs at 12 his usual speed and Ari runs at 112 times her usual speed, how many hours after Ari finishes will Justin finish?

Answers

Answer:

4 hours

Step-by-step explanation:

Distance covered = 30 km

Usual Speed of both = 10km/hr

Justin's speed = 1/2 * 10 = 5km/hr

Ari's speed = 3/2 * 10 = 15 km/hr

Time taken = distance / speed

Justin's time = 30 / 5 = 6 hours

Ari's time = 30 / 15 = 2 hours

Time difference = (6 - 2) = 4 hours

PLEASEEE HELPPP I REALLY NEED IT IM TAKING A TESTTT

Answers

Answer:

Coping is very bad habit.... sorry I will not answer your question because ur coping...

Answer:

A. Quadrilateral

B. 360° = 2(82°) + 2( 3x - 1 )°

C. f(x) = ( 3x - 1 )

Step-by-step explanation:

360° = 164° + (6x - 2)°

360° - 164° + 2 = 6x

196° = 6x

x = 196°/6

x = Rationalize(32.33333333333)

if the radius of the circle is 8 units find the area of the hexagon

Answers

The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units

Area of a hexagon

The sum of interior angle of the given regular hexagon is 720 degrees


The measure of one of the angles is 120 degrees

<ABO = 120/2 = 60 degrees

Since all the angles of triangle ABO are the same, hence AB = 8 units

Determine the area of the hexagon

A = 3√3/2 a²

Substitute a = 8 units

A = 3√3/2 (8)²
A  = 3√3/2 * 64
A = 3√3 * 32

A = 96√3 square units

Hence the area of the hexagon with side of 8 units is 96√3 square units

Learn more on area of hexagon here: https://brainly.com/question/2919364

#SPJ2

What numbers multiply to make -384 and add to make 8?

Answers

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Please help me with 1,2,3,4 please I need help

Answers

Answer:

1. 9.43

2. 13

3. 5

4. 10.77

Step-by-step explanation:

Which fraction is equivalent to 1/3?

Answers

Answer:2\6 or 4\12 etc.

Step-by-step explanation:

4/12 I used desmos!!!!!!!!!!

Questions 7,11,12,14,15and 16 please thanks

Answers

7) 20y-8=52

20y=60

y=3

11)2x+17=5x-4

21=7x

x=3

12)2x+7=16-4x

6x=9

x=9/6

x=3/2

x=1.5

14)8y+4=24-2y

10y=20

y=2

15)7-3x=2x+2

5=5x

x=1

16)

[tex] \frac{x - 3}{2} = 5 \\ x - 3 = 10 \\ x = 13[/tex]

What is the circumference of the following circle?

Answers

Answer:

C = 2pi(r)

= 2pi(5)

≈ 31.416

≈ 31.4

Answer:

Hello! answer: 31.4

Step-by-step explanation:

I'm using 3.14 for pi and

To find circumference you just have to do diameter × pi or radius × 2 × pi since we have the radius we can just do radius × 2 × pi so

5 × 2 × 3.14 = 31.4 so our circumfrence is 31.4 Hope that helps!!

(repost) Can anyone answer these?
questions:
1. Alexa knocked down 70 bowling pins in 10 frames. In each frame, Alexa knocked down the same number of pins. How many Pins did Alexa knock down in each frame?

2. Equation: 28 ÷ 4 = 7. Write a related multiplication sentence.

3. Bonnie had 6 bags of 6 gel pens. she wanted to give the same number of gel pens to 9 friends. How many gel pens did each friend get?

4. Show two ways to solve this problem: 4 × 3 × 2

5. Round each number to the nearest 100, Then Subtract. 187 - 69 is about?
(gosh im tired it took me forever to write this XD)

Answers

Answer:

1.) 7 pins

2.)56 ÷ 8 = 7

3.)Each friend gets 4 pens

4.)(4x3)x2 and 4x(3x2)

5.) 100

Step-by-step explanation:

1.) 70 ÷10= 7

2.)28x 2 = 56

4 x 2= 8

3.)6 x 6 = 36

36 ÷ 9= 4

4.)(4 x 3 )x 2 or 4 x (3 x 2)

5.)187-69 =118

HI PLEASE ANSWER EACH OF THESE QUESTIONS (if you can) IM GIVING OUT 50 POINTS AND BRAINLIEST TO THE BEST ANSWER !! D:

Answers

Answer:

4/55

90

90

Step-by-step explanation:

P= 4/55

mean = 90

median = 90

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

Answer:

1) 4/55

2) 90

3) 90

4) 1046.67 cubic feet

Step-by-step explanation:

Broderick needs to solve the formula below for r. Which correctly describes the first step he should take?

Answers

The first step to solve for r is (J) He should divide both sides of the equation by π.

How to solve the formula for r?

The equation is given as:

A= πr^2

Divide both sides of the equation by π.

So, we have:

r^2 = A/π

Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.

Read more about subject of formulas at:

https://brainly.com/question/11154728

andy bought a cellphone for $120. After six months, he sold the cell phone for $78. What percent did he decrease the price of the cellphone?​

Answers

Answer:

45%

Step-by-step explanation:

$78 is 65% of $120, therefore, the price was decreased by 45%. To prove 78 is 65% of 120, multiply 120x0.65 and you'll get 78. The reason you use 0.65 is because 65% is 0.65 in it's decimal form.

A) p= 12h -2
B) p= 2h -12
C) p= 12 - 2h
D) p= 2 -12h

Answers

C
If written correctly it should be -2h +12 which is the right answer. -2 for the slope and 12 for the y intercept

A circle with a radius of 6 feet has a central angle of 120° in terms of π what is the area of the sector?​

Answers

Your answer would be 0.05 hope I could help!!

Write the next three terms in each sequence. Describe the pattern rule.

a) 1, 7, 13, 19, 25 …



b) 2, 3, 6, 18…



c) 1, 5, 21, 85, …


please do it separated so i understand it

Answers

The answer to number 1 is here down below

write an absolute value equation that has the solutions x=2 and x=14

Answers

Answer:

|2| and |14|

Step-by-step explanation:

Answer:

if I am not mistaken I think my answer 56

Neeeddddd HELP LOOKONG FOR ANSWERS!!

Answers

Answer:

a.) 13 students

b.) 53 members

Step-by-step explanation:

a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.

b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.

In the number 344,589, how many times greater is the value of the 4 in the ten thousands place than the value of the 4 in the thousands place?

Answers

Answer:

10 times

Step-by-step explanation:

9 = units

8 = tens

5 = hundred

4 = thousand

4  = ten thousand

3 = 100 thousand

Number of times 4 in the ten thousands place than the value of the 4 in the thousands = 10,000 / 1000 = 10 times

comparison of the value of 6 to 3

10,000 / 1000 = 10 times

The diameter of a circle is 8 feet. What is the angle measure of an arc a feet long?
Give the exact answer in simplest form.
20 points​

Answers

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

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