Mathematics High School

Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.



The missing side length is

Answers

Answer 1

Answer:

The missing side length is 3x^2 + 2x -4

Step-by-step explanation:

Here, we are interested in calculating the length of the missing side.

Mathematically, the area of a rectangle = L * B

So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;

Thus, the missing side length will be;

6x^3+19x^2+2x-20/2x+ 5

Please check attachment for the polynomial long division

The value of the other factor after the polynomial long division is 3x*2 + 2x -4

Given The Area Of A Rectangular Pool Is 6x^3+19x^2+2x-20 And The Length Of One Side Of The Pool Is 2x+5,

Related Questions

Write an equation/inequality to represent the description. *

Answers

Provided in the question, total number of people that can be accommodated in the theatre are 471.

Now, 254 people are seatedp is the number of people who can enter the theatre of the movie.

Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.

[tex]1) \: p + 254 < 471[/tex]

Or, they can be equal to the number of people.

[tex]2) \: p + 254 = 471[/tex]

Combining both the inequations, We get

[tex] \boxed{ p + 254 \leqslant 471}[/tex]

So, the correct option is Option D

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what is the cost of 1 pound of potatoes? Enter the answer in the box.

Answers

about $2.25 for 1 pound of potatoes

show work
1) n - 8 = -3
2) -2m=-24
3) m/2=-7
4) 2/3y=20
(20 points for answers all)

Answers

Answer:

n = 5m = 12m= -14y =30

Step-by-step explanation:

1.

[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]

2.

[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]

3.

[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]

4.

[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]

30 points if you answer

Answers

R+5+3r-14=35

4R-9=35

4R=44

R=11

busco novia lesbiana mi inta es Arianaprince1

Answers

chile i speak english maam

Answer:

Step-by-step explanation:

Ok que bueno sigue tu sueño amiga

Write as a single power
(-5)(-5)(-5)(-5)​

Answers

I think the answer is 625

Answer:

-5^4

Step-by-step explanation:

I hope this helped.

I need help! With this problem

Answers

Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.

Solve this please, and quick

Answers

Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.

Answer:

3.2

Step-by-step explanation:

7x + 12 + 9x = 7

16x + 12 = 7

       - 12    -12

16x = -5

16 divided by -5 is 3.2

x = 3.2

Sandy is upgrading her Internet service. Fast Internet charges $20 for installation and $50.45 per month. Quick Internet has free installation but charges $52.95 per month.

Answers

okay.. what’s the question

Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?

1) 1:3

2) 3:4

3) 4:3

4) 7:3

Answers

Answer: 4:3

Step-by-step explanation: Because there are 4 game app for every 3 educational app.

Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?

Answers

Answer: she spent 126 hours on her math and science homework together

Step-by-step explanation: because i rounded.

Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min

the coordinate of point T are (6,12). The midpoint of ST is (3,-8). Find he coordinates of point S. the other endpoint is?​

Answers

Answer:

(0, -28)

Step-by-step explanation:

Midpoint coordinates are equal to average of the value of endpoint coordinates.

One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)

So midpoint formula applied to both coordinates:

3 = (6+x)/2 ⇒ 6 = 6+ x ⇒ x = 6 - 6 ⇒ x = 0-8 = (12 + y)/2 ⇒ -16 = 12 + y ⇒ y = -16 - 12 ⇒ y = - 28

Point S has coordinates of (0, -28)

for what value of x does f(x)= -2

Answers

Answer:

-5

Step-by-step explanation:

F(x) = y

When y= -2

x= -5


Find the distance between (-5,3) and (2,-1).

Answers

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula: [tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}[/tex]

Since we have two given points, all we have to do is plug them in.

[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex]              [parentheses]

[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex]                                [exponent]

[tex]d=\sqrt{49+16}[/tex]                                        [add]

[tex]d=\sqrt{65}[/tex]                                                [square root]

[tex]d=8.06[/tex]

Now we know that the distance is d=8.06.

f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)

Answers

Answer:

Step-by-step explanation:

4x - 2 - 3x + 1 = x - 1 is the solution

ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS ASAP ASAP ASAP ASAP ASAP HELP HELP HELP HELP PLS

Answers

Answer:

$16???

Step-by-step explanation:

Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..

Answer:

$16

Step-by-step explanation:

Find the value of x.
(2x + 4)
(3x + 1)

Answers

Answer: x= 17°

Step-by-step explanation:

The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle  and if you add it to the two other angles they have to equal 180 degrees.  

(2x + 4 ) ( 3x + 1) + 90 = 180  

5x + 95 = 180

    -95       -95

5x = 85

x = 17

The correct answer is x= 17 make sure you highlight the equations in two different colors so you which equations you put first when your solving

given the following sequence 3, 7, 11, 15, 19
a) find the 10th term, the 30th term, and the t^th term
b) find the sum for the first 10 terms and the first 30 terms
c) find the number needed of terms needed to have a sum of 15
d) write an algebraic representation for the sum of the first term

Answers

Answer:

Find it out yourself dude

Step-by-step explanation:

Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer

Answers

Not sure about this one

Answer:

omg here is the answer

Step-by-step explanation:

A group of workers took 123.6 hours to
complete a job. A smaller group of workers
will complete the same job, but it will take
them 1.15 times as long as it took the first
group. How long did it take the smaller group
to complete the job?

Answers

Answer:

137.814 hours

Step-by-step explanation:

We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group

123.6 hours is the time and 1.15 is the multiplier

123.6x1.115=137.814 hours

A DESPRITE CRY FOR HELP!!!!

Answers

Answer:

43,51, 86

Step-by-step explanation:

The sum of the angles of a triangle are 180

x+ x+8+2x = 180

Combine like terms

4x+8 = 180

Subtract 8  from each side

4x+8-8= 180-8

4x= 172

Divide each side by 4

4x/4 = 172/4

x=43

x+8 = 43+8 = 51

2x = 43*2 = 86

I got you, bro!

Answer:

x = 43

The angle measures of the triangle, in order from least to greatest, are 43, 51, and 86.

Step-by-step explanation:

4x + 8 = 180

Subtract 8 from both sides.

4x = 172

Divide.

x = 43

21 kg of apples cost $210. How many kilograms of apples can you get with $270 ?

Answers

Answer:

27 kg

Step-by-step explanation:

Step 1:

21 : 210 = x : 270

Step 2:

210x = 5,670

Answer:

x = 27

Hope This Helps :)

Which one of these numbers is in the solution set of x - 12= 3? Apex

A. -9
B. 9
C. 15
D. 4

Answers

Answer:

c.15

Step-by-step explanation:

x-12=3

-12+12

 3+12

 x=15

You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money

Answers

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Tier: Homework 1
Solve 2(4y - 5) = 14 983

Answers

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Combine the terms in the following expressions.
a. 10x-4x

Answers

Answer:

6x

Step-by-step explanation:

Step 1:

10x - 4x

Answer:

6x

Hope This Helps :)

Determine the answer to (−5) + 4 and explain the steps using a number line.

Answers

Answer:

-1

Step-by-step explanation:

when adding on a number line you always go to the right.

-5+4=-1 , so you would move 4 places to the right on the number line.

(-5)+4
-5+4
-1

is the correct answer

a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal

Answers

Answer:

96 and 192 calories

Step-by-step explanation:

Given

72 calories in a 3/4 cup

Divide both by 3/4 to find the unit rate:

72:3/4 in 3/4:3/496 calories in 1 cup

Then multiply both by 2 to get the calories for 2 cups:

96*2 = 192 calories

Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she wants to make at least $114 today, how many hours must she work at a minimum? hours

Answers

Answer:

2 hours

(50 $ + 8 $) x 2 = 116

116 > 114

what is the DOMAIN of the graph

Answers

Answer:

The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates,  Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

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