The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?

Answers

Answer 1

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.


Related Questions

Given the equation y
- x+1
The x intercept is:
The y intercept is:

Answers

Answer:

−x+y+1

Step-by-step explanation:

Determine which choice best shows the distributive property of multiplication.

Question 2 options:

1 × 6 = 6


6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


6 × (9 × 8) = (6 × 9) × 8

Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use

Answers

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

what is 24 divided by 18​

Answers

Answer:

1 1/3

Step-by-step explanation:

or 1.33333333333333333333333333333333333333333333

1 1/3 or 33333 and so on

Find the length of segment FH.

Answers

Answer:

20

Step-by-step explanation:

what is 42-22?

it is 20. Next time, use a calculator or get your additon and normal calulations really good.

I need help
are all intergers a closed or open whoel number when subtracting or adding them together

Answers

Answer:

Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D

Step-by-step explanation:

0.4(0.25)(0.01) is the problem

Answers

i believe the answer is .001
.4 x .25 = .1
.1 x .01 = .001
0.4(0.25)(0.01)
0.1 x 0.01
0.001

The answer is 0.001

I think this is what you need

R the midpoint of overline OP and overline QR perpendicular to OP In the diagram below. 20 in. 26 in. Q Find the length of QR .

Answers

Answer:

24

Step-by-step explanation:

What is the inverse function of f(x) = x


Answers

f-1(x) f(x)-1
Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal

Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?

Answers

Answer: -2.4f-18

Step-by-step explanation:

Add 0.2f to -2.6f then subtract 3 from -15

What do you call segments, rays, or lines that are added to a given diagram?

Answers

Answer:

auxiliary lines

Step-by-step explanation:

Please help don’t understand

Answers

Answer:

first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.

Answer:

the other guy is right trust him

Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.

How many cupcakes does the supermarket get?

Answers

you do 525/7 to get 1 part
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket

HELP MIDDLE SCHOOL QUESTION

Answers

1897 is how much he ran

y=5, 12+4y= what is the answer

Answers

Answer:

x2

Step-by-step explanation:

x2 82

Answer: 32

Step-by-step explanation: since y=5, 4y= 20. 12+20=32

10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6

Answers

Answer:

it's times 4 every time

Step-by-step explanation:

4.5 times 4 is 18 etc

If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys

Answers

Answer:

b right handed boys

Step-by-step explanation:

imma look what dis is

Answers

Answer:

its loading but ill help!

Step-by-step explanation:

I don’t see anything it’s just grey and when you press on it it’s black

Find the vertex of the parabola defined by the following equation. 3x^2-12x+11

Answers

Answer:

y= 3(x-2)^2-1

Step-by-step explanation:

Compare the two fractions using , or =. 1/2 1/4

Answers

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Find the perimeter of the following shape:

Answers

If you are trying to find the perimeter then just add all the sides so 10+10+7+7=34

But if it's for the area then its supposed to be A=hb/2 which is height times base divided by 2. For the area I did the math which is in the image

Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?


15x\geq 30015x≥300


\frac{x}{300} \geq 15
300
x

≥15


15x \leq 30015x≤300


\frac{x}{300} \leq 15
300
x

≤15

Answers

Answer:

20 weeks

Step-by-step explanation:

30/15=2

300/15=20

20 weeks

A trawler caught 2/3 ton of fish on Monday and 1/2 on Tuesday. What was the total amount of fish caught?

Answers

Answer:

1 1/6

Step-by-step explanation:

(1/2×3/3)+(2/3×2/2)=

3/6+4/6=

3+4/6=7/6 or 1 1/6

3+4 is the numerator over 6

WILL MARK BRAINLY!

Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100

Answers

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

|-100|>50 because the 100 will be switched to positive so 100>50

Can someone help me? Thank you!

Answers

Answer:

I believe that the one that is NOT true is Option, letter C.  Pls mark brainliest.

Answer:The answer is D

Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.

Also brainly pls.

Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?

Answers

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Rewrite using a single positive exponent.
(7^2)^-7

Answers

Answer:

Step-by-step explanation:

we have to remember the power rules, power raised to the power-we use the multiplication

(7^2)^-7=7^-14= 1/7^14

Jane has 6 more than twice the number of pairs of shoes that Mary has.

Write an expression for this. Use s as your variable for the shoes.

Answers

Answer:

im not sure

Step-by-step explanation:

A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?

Answers

Answer:it took  the particle 50,000,000 seconds to travel the specified distance

Step-by-step explanation:

Given that distance = Rate x time

Distance traveled by Particle= 9.0×10^12 meters

and rate= 1.8×105 meters per second

Time taken for particle to travel the specified distance  using our equation that

distance = Rate x time

time = Distance / Rate

=9.0×10^12 meters/ 1.8×105 meters per second

=50,000,000 seconds

The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is​

Answers

Answer:

[tex]r=\frac{5}{9}(y-32)[/tex]

Step-by-step explanation:

The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.

The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.

Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:

[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]

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