The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?

Answers

Answer 1

Answer:

the width is 3

Step-by-step explanation:

you divide the 4 by 12

Answer 2

Answer:

2 units

Step-by-step explanation:

Area = Length × Width of a rectangle

If Length = L

Width = L-4

So 12 units = L×(L-4)

12 = L^2 -4L

L^2 -4L -12=0

Simplify this equation

L^2 + 2L -6L -12 = 0

L( L+2) - 6(L+2) = 0

(L+2) (L-6) = 0

L+2 =0 Or L-6=0

L=-2 Or L= +6

But L can't take a negative value

therefore L= 6

Now if we substitute and check,

L× (L-4) = 6×2=12 units

width = 6-4 =2 units


Related Questions

what is the quotient of 3/4 and 5/8

Answers

Answer:

6/5

Step-by-step explanation:

3/4 ÷ 5/8

Keep Change Flip

3/4x8/5

=6/5

Hope this helps :)

the bill from your electrician was $198. he worked for 3 hours. the cost for materials was $33. how much did the electrician charge you per hour

Answers

Answer:

Answer is 66

Step-by-step explanation:

divide 198 by 3 and you get 66

Hope this helps!

Last year the French club raised $300 at their fall fundraiser. This year they raised $450. What is the percent increase in the amount raised?

(IN YOUR OWN WORD'S)

Answers

Answer:

50%

Step-by-step explanation:

Actual increase = $150

% increase = (actual change ÷ start value) × 100

                   = (150 ÷ 300) × 100

                    = 0.5 × 100

                    = 50%

Could someone help me with these all these questions below
And no file please.
Use the information below to answer the questions:
Hastings 45 km Dover 108 km
Brighton 22 km Coventry 209 km
London 77 km Birmingham 172 km

1. How far is Hastings to the nearest 10 km?
2. How far is Brighton to the nearest 10km?
3. How far is London to the nearest 100km?
4. How far is Dover to the nearest 100km?
5. Approximately how far would you travel if you drive to London and then to Coventry?
6. Approximately how far would you have travel if you drive to Brighton, London and then Birmingham?

Answers

Answer:

1. 50km 2. 20 3. 100km 4. 100 5. 300 (rounded to the 100's) or 290 (rounded to the 10's) 6. 270 (to the nearest 10's) 300 (to the nearest 100's)

Step-by-step explanation:

1.

45

5=>5

Answer 50

2.

22

2<5

Answer 20

3.

77

7>5

Answer 100

4.

108

0<5

Answer 100

5.

Answer 300 or 290

(Based on the answer above)

6.

300 or 270

(Based on the answer above)

What are the zeros of the function
f(x)=x^2+2x-8

Answers

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

Peter was thinking of a number. Peter adds 8 to the number, then doubles the result to get an answer of 57.4. Form an equation with
x
from the information.

Answers

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))


there’s no actual question just this picture & multiple choices , please help .

Answers

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

[tex]a^2+b^2=c^2[/tex]

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

What is 5 1/4 + 5.8333333

Answers

Answer:

11.0833333

5 1/4

5.83

11.08

Answer:

11.08

Step-by-step explanation:

Because the 3’s are repeating we don’t need to put all of them

how do you solve this linear programming inequality equation?
1 > 3P + 10​

Answers

Answer:

-3 > P

Step-by-step explanation:

1 > 3P + 10​

Subtract 10 from each side

1-10 > 3P + 10-10​

-9 > 3P

Divide each side by 3

-9/3 > 3P/3

-3 > P

Which statements are true of the line represented by the linear equation y= 1/3 x + 3

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

and y- intercept c = 3

Why do you skip count by 2s on the number line

Answers

find your answer faster

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation:

plz help will mark as brainliest​

Answers

Answer:

so the answer is = 210 beacuse  u have multiply 5 times 6 times 7

Step-by-step explanation:

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

a. y= mx+ c

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

therefore substituting:

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

help me please i am struggling to the very top

Answers

Answer:

x = 21 and both sides are 53 units long

Step-by-step explanation:

They are congruent, so they are equal, so

3x-10=x+32 then solve for x

2x=42

x=21

then plug x into each side to get its length

3x-10=3(21)-10=53

x+32=21+32=53

You would expect them to be the same since they are congruent

in 3 to 10 round each number to the place of the underlined digit 16.5 number 6 is underlined

Answers

Answer:

the 6 is in the tenth spot

Step-by-step explanation:

For each table, write the equation that represents the price per ticket.

Answers

Answer:

x=7.5y

Step-by-step explanation:

I took the test


The 4 in 149 is how many times bigger than the 4 in 74?

4 times

10 times

30 times

100 times

Answers

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

Hello I need plzzzz help

Answers

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? how many did she type in five minutes

Answers

Answer: 5 mins 110 words10 mins 220 words.

Step-by-step explanation: Tia types 66/3 = 22 words per minute.

Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types

22 * 10 = 220 words. Hope this helps! lol!

A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.

Answers

Answer:

Step-by-step explanation:

The surface area of a sphere is given by

A=4πr^2

The volume is

V = (4/3)πr^3

At r = 4":

A = 64π in^2

V = 85.3π in^3

At r = 5" (a 25% increase in r)

A = 100π in^2  (a 156.25% increase)

V = 167π in^3  ( a 195.8% increase)

We can show the ratio of these two measures by dividing the Volume by the Area:

V/A = ((4/3)πr^3/(4πr^2))

V/A = (1/3)r

For the 2 examples (4" and 5"), V/A is:

4":  (85.3π in^3)/(64π in^2) = 1.33   [(1/3)r = 4/3 = 1.33]

5":  (167π in^3)/(100π in^2) = 1.67   [(1/3)r = 5/3 = 1.67]

V/A = (1/3)r

Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.

Write the slope-intercept form of the equation

Answers

Answer:

y= [tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

Slope intercept form= y=mx+b

m=slope

b=y-intercept

b=-1

m= [tex]\frac{1}{3}[/tex]

y= [tex]\frac{1}{3}[/tex]x-1

Help pls ? I just need this one question :,)

Answers

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

Please help me answer this ASAP

Answers

Answer:

1.15x - 0.7x

Step-by-step explanation:

You take the manufacturer’s price and add 15 percent, then subtract 70 percent of the used price from the retail price to get the answer.

what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]

Answers

Hopefully this helps you answer your question

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

hope it helps

Plz help i don’t understand the question

Answers

Answer:

the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.

Step-by-step explanation:

hope I helped you! :D

Please help…I will award brainliest!

Answers

Answer:

y = - 3x + 15

x+4x=
Какой ответ пожалуйста помогите x+4x= это задача

Answers

Step-by-step explanation:

5x

Добро пожаловать

HELP QUICKLY!!! How can you use a set of steps to divide whole numbers? Explain.

Answers

Answer:

https://youtu.be/4yp5v64XuRc

Step-by-step explanation:

This is a very good video on to do it, it's hard to explain just typing it on here. I'm sorry.

Answer: 131

Step-by-step explanation:

Solve the following system of equations graphically on the set of axes below.

Answers

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

a car travels at a constant speed for 2 hours. what is that speed miles per hour

Answers

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

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