The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room

Answers

Answer 1

Answer:

l = (3x+5)

Step-by-step explanation:

Given that,

The area of a room, [tex]A=3x^2-x-10[/tex]

The width of the room, [tex]b=(x-2)[/tex]

We need to find the length of the room.

The area of the room is given by :

A = lb

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]

So, the length of the room is equal to (3x+5).


Related Questions

Un inversionista coloca 1.000.000 en un banco durante un año a una tasa de interés del 16% capitalizable mensualmente. ¿Cual es la tasa efectiva?

Answers

Answer:

Tasa efectiva anual= 0.1722= 17.22%

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual= 16% capitalizable mensualmente

Primero, debemos calcular la tasa nominal mensual:

Tasa mensual= 0.16 / 12= 0.01333

Ahora, usando la siguiente formula, la tasa efectiva anual:

Tasa efectiva anual= (1 + i)^n - 1

Tasa efectiva anual= (1.01333^12) - 1

Tasa efectiva anual= 0.1722= 17.22%

I spend and save £48 in
the ratio 2:1. How much
did I save?

Answers

Answer:

£16

Step-by-step explanation:

save = 1/3 * 48

48/3 = 16

£16

Answer:

hi

Step-by-step explanation:

i think so,

2:1=48

2k+1k=48

3k=48

k=16

spent 16×2=32

saved 16 £

hope it helps

have a nice day

Help!!!!!!! I will give the brainiest if right!

Answers

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

What does a continuous domain mean, explain it like I'm 5 years old

Answers

Answer:

set of input values that consists of all numbers in an  interval.

Step-by-step explanation:

Answer:

A continuous domain is a set of input values that consists of all numbers in an interval.

Step-by-step explanation:

I don't know how to explain it to a five year old. Sorry

Please answer correctly

Answers

Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°

A kite is designed on a rectangular grid with squares that measure 1 cm by 1 cm. A piece shaped like a rhombus within the kite will be reserved for the company logo. Use the grid to identify the perimeter and area of space reserved for the logo.
Please help!!

Answers

Answer: P = 4sqrt(29), A = 20cm^2

Explanation:

1=-10

Hello. I'm currently a freshman in highschool and ran across this question and I forgot how to do it before. Can i get some help?​

Answers

I think you have to divide by 10

How many 4-digit odd numbers can you make using the digits 1 to 7 if the numbers must be less than 6000? No digits are repeated.

Answers

Answer:

Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.

The last digit must be a 1, 3, 5, or 7, because the number has to be odd.

So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.

The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.

At this point, we have everything we need to express this as an equation:

x = (2 x 4 + 1 x 3) x 6 x 5

And then we can simplify and solve:

x = (8 + 3) x 30

x = 11 x 30

x = 330

please help me lol im begging yall

Answers

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0

Answers

Answer:

-3/5

Step-by-step explanation:

tan = opp/adj using pathagorean the hypt is 5

cos = 3/5

tan is negative in quad 2 and 4

sin is positive in quad 1 and 2

so because tan is negative and sine is positive the cosine is negative

-3/5

Determine if (-11, -284 ) is a solution to the given equation: y = 14x - 129 ?

Answers

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

The
Black
for this set of data is 23.
11 27 14 34 16
17
A mean
B median
c) mode
D)Range

Answers

Answer:

D

Step-by-step explanation:

Add 11,27,14,34,16, and 17 then divide by 7

please describe the difference between the slope and the y-intercept. Please also describe how we can use the slope and y-intercept to graph.

Answers

Answer:

The slope is basically the rate of change in which it describes how steep the line is. The y-intercept is a point in the graph in which a point crosses the y axis.

The slope and the y-intercept is connected with the formula y=mx+b, where b is the y intercept and mx is the slope. With this equation, you can graph by first putting your y-intercept (b) in the graph, remember that the y-intercept has x as 0, for example (0,4) or (0,12). After that, all you have to do to complete the line is to use the slope by plugging the x to the slope and adding the y-intercept.

Now you might have a little idea of what is the slope and y-intercept, and might still be confused on certain things, so ill give an example.

ex) you are given the formula y=2x+4 and you are asked to graph it

step 1) you take the b, which is 4 and put it in the graph, knowing the the point is (0,4) because b is the y-intercept, which means that x=0.

step 2) take a random x point on the xaxis and plug it in the formula, then you add the b (4), lets say x=2

so it will become 2(2) +4 = 6, so when x=2, y is 6.

Now you have found 2 points, (0,4) and (2,6), all you have to do is plug it in the graph.

The graph is drawn below.

If you have anymore questions, don't hesitate to message me.

Hope that answers your question, good luck in your test

ps. Math becomes waaaay harder

Step-by-step explanation:

Please help. Thank you!!

Answers

Answer:2444

Step-by-step explanation 23333

4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
be worth more than $7000?

Please use the compound interest formula for IGCSE:
[tex]p(1 + \frac{r}{100} ) {}^{t} [/tex]


Answers

Here is the result.....

What is the area of the polygon? Show your work! ​

Answers

Answer:

6+6=12 cm

4+4=8 cm

6+6= 12 cm

Add all together and it equals 32

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I LOVE DOING THESE

4x6=24

24x0.5=12

12x4=48

4x4=16

48+16=64

Solve for the area

Triangle B=6m h=4m A=

Answers

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .

Answers

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

What is the volume of the prisim?
This prism measures 3 units by 4 units by 2 units.

Answers

Answer:

24

Step-by-step explanation:

3*4*2=24

The answer is 24
3*4*2=24

jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children.

Based on the data in this bar graph, which movie received 20% of the total votes? How do you know?

Answers

Answer: 191 students and ninety seven 10th graders were surveyed

Step-by-step explanation:

find the solution of given expression,
[tex] \sqrt{72 \times 2} [/tex]

Answers

Answer:

Solution given:

[tex] \sqrt{72 \times 2} [/tex]

[tex] \sqrt{144} [/tex]

[tex] \sqrt{12²} [/tex]

±12 is a required answer m

PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:

Answers

Answer:

Total number of candies:

6 + 3 + 5 + 2 = 16

Q1

P(2 red) = 3/16*3/16 = 9/256

Q2

P(a yellow and a blue) = 2/16 * 6/16 = 3/64

Q3

P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096

The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the same length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?

Answers

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

HELP PLEASEEEE NO BITLYS OR LINKS

Answers

The answer is quadratic

 Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

Determine the center and radius of the following circle equation:
x² + y2 + 20x – 14y + 133 = 0

Answers

Centre ( - 10 , 7 )

Radius -> 4 unit

This is a pic of my question.. ​

Answers

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

18) Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? OA) 10 cm, 9 cm, 3 cm OB) 3 cm, 5 cm, 10 cm OC) 15 cm, 10 cm, 7 cm OD 10 cm, 10 cm, 10 cm​

Answers

Answer:b am pretty sure

Step-by-step explanation:

C not sure I think not sure

It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.

Answers

Answer:

There are 19.5 extinguishers needed.

Step-by-step explanation:

Given that,

One fire extinguisher be available for every 4,520 square feet in a building.

We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.

x = (Area of building)/(Area of one fire extinguisher)

So,

[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]

So, there are 19.5 extinguishers needed.

1. A coin is tossed once, what is the probability of getting a head​

Answers

Answer:

The answer is...1/2

Step-by-step explanation:

1- head

1-tail

To get head-1/2

Answer:

the answer is 1/2

Step-by-step explanation:

you have 2 sides each side a 50% chance

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