Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Area of rectangle

lw

So we have to factorise the expression

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+7)(x+6)

So

x+7-(x+6)

x+7-x-6

1


Related Questions

Two years ago, the water level in a local reservoir fell 834 feet. Last year, the water level rose 435 feet. By how many feet did the water level of the reservoir change overall during these two years?

Answers

Answer:

- 4 3/20 The other person is correct

Step-by-step explanation:

The water is 399 feet fell.

What is unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Two years ago, the water level in a local reservoir fell 834 feet.

Last year, the water level rose 435 feet.

So, the water level of the reservoir change overall during these two years

= -834 + 435

= -399

Hence, the water is 399 feet fell.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Nicole and her friend Ana like to go out running for exercise. If Nicole ran 3 25 miles and Ana ran 2 34 miles on Saturday, what is the total number of miles run by the girls on Saturday?

Answers

Answer:

6.15 miles

Step-by-step explanation:

Step one:

given data

Nicole ran 3 2/5 miles and

Ana ran 2 3/4 miles on Saturday

Required:

The total distance covered by both friends

Step two:

total distance= 3 2/5 + 2 3/4

let us convert the mixed fraction to a simple fraction

=17/5+11/4

=68+55/20

=123/20 miles

or

=6.15 miles

wht is negative 100 plus 50 plus negative 20

Answers

Answer:

-70

Step-by-step explanation:

just use a calculator my g

Answer-70

Step-by-step explanation:

-100 plus 50 = -50 then you add -20 making it -70

Which of the following is a linear function?

Answers

the first one! good luck:)))

Answer:

I believe the first one but I'm not 100% sure.

are the triangles congruent

yes or no

or not enough info

Answers

Answer:

Not enough info

Step-by-step explanation:

Pictured two triangles with two angles and non-included side being congruent.

It doesn't make the triangles congruent as it doesn't match any congruence postulates.

So not enough info in this case.

Can you help me out with this question 5 pls

Answers

Gives an output of 1 I think

0.40 X plus 20 < 200 which best describes a number of bars that the band can order 0.40 X plus 20 < 200 which best describes a number of borrowers that can be ordered

Answers

Answer:

So x can have values from zero to 449

Step-by-step explanation:

0.40 X plus 20 < 200

0.4x +20 < 200

Putting the values of x for 0,1,2,

0.4x +20 < 200

0.4(0) +20 < 200

20< 200

0.4x +20 < 200

0.4(1) +20 < 200

20.4 <200

0.4(2) +20 < 200

20.8 <200

The maximum value which x can have is less than 450 because 450 would give a number equal to 200 and we have the inequality of a number being less than 200

0.4x +20 < 200

0.4(450) +20 < 200

180+20<  200

200 <20  which is wrong.

So x can have values from zero to 449

0.4x +20 < 200

0.4(449) +20 < 200

179.6+20<  200

199.6 <200  

X  can have the values fom 0 to 449.

16. Solve the equation. ( point)
R/4 -1=4
O 1.3
O 0.8
O 12
O 20

Answers

Answer:

D. 20

Step-by-step explanation:

Since you are subtracting, you can add 4 and 1. The sum is 5. 20/4 is equal to 5 so R = 20.

I need the real answer for this one please!?

Answers

Answer:

x=7

Step-by-step explanation:

inverse problems

48+1=49

the root of 49 is 7

Answer:

x = ± 7

Step-by-step explanation:

Given

x² - 48 = 1 ( add 48 to both sides )

x² = 49 ( take the square root of both sides )

x = ± [tex]\sqrt{49}[/tex] = ± 7

what is 2.5x10^3 please someone help me

Answers

Answer:

[tex]2500[/tex]

Step-by-step explanation:

[tex]2.5*10^3\ can\ simply\ be\ expanded\ as:\\2.5*10*10*10\\=25*10*10\\=250*10\\=2500[/tex]

Answer:

2500

Step-by-step explanation:

The amounts below show the change (measured in feet) in water level over four months. What is the average monthly change in water level?

-1/8, -9/8, -12/8, 2/8

Answers

Answer:-5/8

Step-by-step explanation:

PLEASE PLEASE HELP ME!

Answers

Answer:

Step-by-step explanation:

What is 3 divided by 48

Answers

Answer:

uhhh 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?

Answers

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

A group of 9 workers was assigned to paint the walls in a house, which could be completed in 48 hours. However, after working 8 hours, some of the workers left the group and the remaining workers could complete the job in 72 hours. How many workers left the team?

Plz write equation:0

Answers

Answer: 4 workers

==============================================

Explanation:

We have 9 workers painting walls in a house. Let's say the total square feet needed to be painted is 9000 square feet. I picked some arbitrary large multiple of 9, so that it leads to 9000/9 = 1000 square feet per worker.

In other words, each worker paints 1000 square feet.

They can do the job in 48 hours, which means their rate is 1000/48 = 125/6 square feet per hour approximately.

After 8 hours, each worker paints 8*(125/6) = 500/3 square feet. So all 9 workers painted 9*(500/3) = 1500 square feet

Put another way: they got 8/48 = 1/6 of the job done after 8 hours, so (1/6)*9000 = 1500 sq feet of wall has been painted so far. This leaves 9000-1500 = 7500 sq ft unpainted.

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

Let x be the number of workers that leave.

There are 9-x people still on the job.

The 7500 sq ft of left over wall is divided among the 9-x people. Each worker gets 7500/(9-x) sq feet of wall to paint.

Earlier we found each worker's rate was 125/6 sq ft per hour. If they complete the remaining job in 72 hours, then,

(rate)*(time) = (amount of job done)

(125/6)*(72) = 7500/(9-x)

1500 = 7500/(9-x)

1500(9-x) = 7500

9-x = 7500/1500

9-x = 5

-x = 5-9

-x = -4

x = 4

4 workers went home.

If 4 workers went home, then 9-4 = 5 workers remain

They each have 7500/5 = 1500 sq ft of wall to paint, which helps confirm the answer.

2. State the domain for the following ordered pairs: { (4, -2), (6, -7), (4, 3), (-8, 1), (-3, 5) } *

Answers

Answer:

(4,6,4,-8,-3)

Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

he results of a survey are shown below. In the survey, 12 students said that they would like to learn French. How many of the students surveyed would like to learn Spanish?

A drawing shows a result of a survey on a piece of paper. It shows the percent of students who like to learn different languages. It shows the percentages as Spanish, 36; French; 24; German, 18; other, 22.

Answers

Answer:

18 students

Step-by-step explanation:

Now think of it in this form. 12 students wanna learn french which is 24% and in this problem we have to find 24% of "x" is 12. The answer is obviously 50. Now go to German and you can see that 18% want to learn German. All you have to do is find 50% of 18 to get your answer which is 9. Now follow that same pattern with the Spanish one. If 36% want to learn Spanish, just find 50% of it or half of it and that could be done by doing 36 divided by 2 to get 18 as your answer. Another way to do it is my turning 50% into 0.5 and multiplying it by 36 to get your answer. As a result, your answer is 18 students want to learn Spanish.

following describes the translation of a point from (0,-3) to (3,-8)

Answers

Answer:

D

Step-by-step explanation:

Answer:

D) 3 units right and  5 units down

Step-by-step explanation:

following describes the translation of a point from (0,-3) to (3,-8)

ok so from (0,-3) to (3,-8)

(x,y)

x= right or left movement

y= up or down movement

3 units right and  5 units down

Need help!!!
x is Interest
P is Principal
3% is the rate
Need answer for h!!!!

Answers

Answer:

h = (100x) / (3p)

Step-by-step explanation:

[tex]I=\frac{PRT}{100} \\[/tex]

where,

I is the interest which is given by x

P is the principal amount which is given by p

R is the rate which is given 3% and

h is the time so,

[tex]I=\frac{PRT}{100}\\\\x=\frac{(p)(3)(h)}{100}\\\\100x=3ph\\\\\frac{100x}{3p}=h[/tex]

Which statement about equations and expressions is true?
An example of an equation is StartFraction z Over 365 EndFraction because it shows that two expressions are equal.
An example of an expression is StartFraction z Over 365 EndFraction because it shows that two equations are equal.
An example of an equation is StartFraction z Over 365 EndFraction because it is a mathematical phrase represented by numbers, a variable, and an operation.
An example of an expression is StartFraction z Over 365 EndFraction because it is a mathematical phrase represented by numbers, a variable, and an operation.

Answers

Answer:

its d

Step-by-step explanation:

the other person made me get it wrong and i checked and it was d

Answer:

D

Step-by-step explanation:

T equals, 15 n, plus 12, which consists of both a per-ticket charge and a one-time ... Since n represents the number of tickets that Salim purchases, it follows that 15 n ... The two numerical expressions in the given equation can be simplified as ... 4 x squared, plus 6 x, and denominator 4 x plus 2, end fraction is equivalent to.

Determine the domain on which the following function is decreasing.

Answers

[Negative infinity, 2)

Using function concepts, it is found that the domain in which the function is decreasing is: [tex](-\infty,2][/tex]

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

The domain of a function is composed by it's input values, in a graph the x-values.The function is decreasing when y decreases as x increases.

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

The arrows in the graph indicates that the function goes from negative infinity to positive infinity.The graph, that is, y is falling for x between negative infinity and 2.Thus, the domain for which the function is decreasing is given by: [tex](-\infty,2][/tex]

A similar problem is given at https://brainly.com/question/14979017

The following proportion could be used to change from gallons to which measure.

1/4 x 3/x

A. ounces
B. pints
C. quarts
D. gallons

Answers

Answer:

Choice C. quarts

Step-by-step explanation:

In one gallon there is 8 pints, 16 cups, and 4 quarts. So if the proportion was set up like this [tex]\frac{1gallon}{4quarts}*\frac{3gallons}{xquarts}[/tex] it's likely that they are looking for how many quarts are in 3 gallons, and since we now know that 4 quarts is one gallon we can multiply 3 and 4 to get 12. So in 3 gallons there's 12 quarts.

Answer:

c i got a 90 yw

Step-by-step explanation:

Find the x−and y−intercepts. −2x − 5y = 20

Answers

Answer:

X=10, Y=4

Step-by-step explanation:

Along the y-axis, x = 0.

2(0) + 5y = 20

5y = 20

y = 4

Your y-intercept is at (0,4).

Along the x-axis, y = 0

2x + 5(0) = 20

2x = 20

x = 10

Your x-intercept is at (10,0).

Answer:

-2x-5y=20 (if x= 2 )

[tex] - 2 \times 5 - 5 \times y = 20 [/tex]

[tex] - 20 - 5 \times y = 20[/tex]

[tex] - 5 \times y = 40[/tex]

[tex]y = 8[/tex]

Lincoln earned $45 for raking his neighbor's leaves 5 times. If Lincoln charged the same rate and earned $81, how many
times did he rake his neighbor's leaves? Use a unit rate to find the unknown value.
SI
15
5
times

Answers

Answer:

For the gavin's lawn mowing problem that got deleted, the answer is 9.

Step-by-step explanation:

If Gavin earns $42 for mowing his neighbor's lawn 7 times, then he earns $6 every time he mows his neighbor's lawn. If he earns $54 at the same rate, he would have to mow his neighbor's lawn 54/6 = 9 times

Anyone help me ASAP, its due in an hour, plz show all the working, THANK YOU SO MUCH

Answers

Answer:

Step-by-step explanation:

First, start out with the parent function:

[tex]y = b^{x}[/tex]

Now, we look at the transformations, and make the equation.

We see that the graph shifted down 4 units, since the graph's horizontal asymptote is at y = -4.

[tex]y = b^{x} - 4[/tex]

We see point (0, -3) to point (1, -1). The value of b would be 3. The reason is that when you plug 0 in, you get 1, then 1 - 4 equals 3. (0, -3),

Then, when you plug in 1, you get 3, then 3 - 4 equals -1. This matches up with the graph.

This is the answer:

[tex]y = 3^{x}-4[/tex]

#teamtrees #WAP (Water And Plant)

which transformation proves congruence between shap a and shape b

Answers

Answer:

A congruence transformation is a transformation that doesn't change the size or shape of an object. There are three main types of congruence transformations, and those are reflections (flips), rotations (turns), and translations (slides).

Step-by-step explanation:

i hope that helps

What is a constant rate of change

Answers

Answer:

A constant rate of change- means that something changes by the same amount during equal intervals.

Step-by-step explanation:

Is 4/5 greater than 5/6?​

Answers

Answer:

5/6 is greater than 4/5

Step-by-step explanation:

4/5 = 0.8

5/6 = 0.833333

Answer:

no

Step-by-step explanation:

5/6 is greater than 4/5

What value of x makes the equation true?

-7x-5=-10x-26
Please show work

Answers

Answer:

-7

Step-by-step explanation:

-7x-5= -10x-26

-7x= -10x-21

3x= -21

x=-7

Can someone please solve this?

Answers

Answer:

[tex]\frac{7}{10}=\frac{14}{20}[/tex]

[tex]\frac{3}{4}=\frac{15}{20}[/tex]

so, [tex]\frac{7}{10}<\frac{3}{4}[/tex]

Step-by-step explanation:

I did it found it on hope this helps
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