The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]


Related Questions

2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.

Answers

Answer:

220 - a = m

Step-by-step explanation:

a is her age

hello ive been stuck on this question first answer gets brainliest

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Answer:

A

Step-by-step explanation:

Answer:

i wold say 95% A and 80% C

maybe try A

Step-by-step explanation:

Plz help it is over due

Answers

Answer:

32/9

Step-by-step explanation:

(4/1) (9/8)=

32/9

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

Sal used a card to make the purchase, and the full amount was immediately withdrawn from his bank account.

Jen used a card to make the purchase, and she received a bill within 15 days of the purchase. She paid $21.30 for the next 18 months until the bill was paid in full. The full payment included $58.60 in interest.

Which statement describes Sal’s purchase?
Sal used a debit card and paid a total of $383.40 for the stereo.
Sal used a debit card and paid a total of $324.80 for the stereo.
Sal used a credit card and paid a total of $383.40 for the stereo.
Sal used a credit card and paid a total of $324.80 for the stereo.

Answers

Answer:

correct answer is B hope this helps :)

Step-by-step explanation:

The statement describes Sal’s purchase

Sal used a debit card and paid a total of $324.80 for the stereo.

What is Debit card statement?

The statement includes deposits, charges, and withdrawals, as well as the period's initial and ending balances. Account holders typically scan their bank statements once a month to assist keep track of their costs and spending, as well as to look for any fraudulent charges or errors.

Sal and Jen went shopping together and bought the same vehicle stereo. Sal made the purchase with a credit card, and the full money was instantly deducted from his bank account.

Jen used a credit card to complete the purchase, and she received a statement within 15 days.

She made monthly payments of $21.30 for the next 18 months until the account was paid in full. The total payment included interest of $58.60.

Sal used a debit card and paid a total of $324.80 for the stereo," says the document that explains Sal's purchase.

Learn more about Debit card statement here:

https://brainly.com/question/30643540

#SPJ3

What is the answer please hurry

Answers

Answer:

I dunno

Step-by-step explanation:

Antonio has $350 to spend on skis. Sales tax is 6%. Decide if each description of a price and discount, plus sales tax, represents a pair of skis that Antonio can purchase with the money he has. Choose yes or no for each description.

Answers

Answer: See explanation

Step-by-step explanation:

Antonio has $350 to spend on skis. sales tax is 6%. decide if each description of a price and discount, plus sales tax, represents a pair of skis that antonio can purchase with the money he has. choose yes or no for each description. a. 25% off $450 b. 20% off $385 c. $20 off $360 d. 15% off $360 e. $10 off $340.

The amount of money that Antonio can spend will be:

= $350 - (6% × $350)

= $350 - (0.06 × $350)

= $350 - $21

= $329

a. 25% off $450

= $450 - (25% × $450)

= $450 - (0.25 × $450)

= $450 - $112.50

= $337.50

No

b. 20% off $385

= $385 - (20% × $385)

= $385 - (0.2 × $385)

= $385 - $77

= $308

Yes

c. $20 off $360

= $360 - $20

= $340

No

d. 15% off $360

= $360 - (15% × $360)

= $360 - $54

= $306

Yes

e. $10 off $340

= $340 - $10

= $330

No.

Based on the $329 that Anthony has, he can make purchases on:

b. 20% off $385

d. 15% off $360

Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)

Answers

u would equal 7.8 :)))))))

-2n - 10n + 3 = -n + 5

Answers

This is what I got and I am sure this the answer

Please help using the picture below I need the surface area I also need an explanation
I WILL GIVE BRAINLY

Answers

Answer:

155

Step-by-step explanation:

5*5=25

((5*13)/2)*4=130

130+25=155

Please please help i’m in eighth grade.

Answers

Answer:

Option D

Step-by-step explanation:

36 represents the total cost that they spent

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

Answers

Answer:

150

Step-by-step explanation:

To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150

What is $25.49 marked down 45% please help

Answers

Answer:   $14.02

Step-by-step explanation:

Marked down by 45% means it will have a 45% percent discount.

Subtract 45% from 100%  then multiply it by the amount .

100% - 45% = 55%

55% * 25.49 =  14.0195  Round it to the nearest hundredth to convert it to money.  

14.0195 = 14.02

Santa has many toys to deliver on Elm Street. If there are 48 kids that live on Elm
Street and 12 of them are boys what is the ratio of girls to boys?

Answers

Answer: 3 : 1

Step-by-step explanation:

We know that there are 48 kids in Elm street.

12 of them are boys, then the number of girls will be:

48 - 12 = 36

So there are 12 boys and 36 girls.

Then the ratio of girls to boys is 36:12

We can divide both numbers by the same number and we will get an equivalent ratio, if we divide by 12 in both sides, we have:

36/12 : 12/12

3 : 1

Then the ratio is 3 to 1.

1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12

Answers

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answers

Answer:

the correct answer should be 144

Answer:

144

Step-by-step explanation:

180*20% is 36 so 180-36 is 144

What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?

Answers

Answer:

-2, -1

Step-by-step explanation:

So moving left would affect the x-axis.

Left would move it to the negatives so -1 - 1 = -2.

Moving up would affect the y-axis.

Up would move towards the positive so -5 + 4 = -1.

-2, -1

Evaluate the question and simplify

Answers

The answer is 11.

Step-by-step explanation:

19-25\19-15

44/4= 11

Lisa had 4.25 in her purse she brought some school supplies for $2.75 how much money does lisa have left

Answers

Answer:

1.50 $

Step-by-step explanation:

Hope this helps!

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Answers

I have no clue where they are sorry

Answer:

hewo friend

Step-by-step explanation:

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Answers

Answer:

It is proportional

Step-by-step explanation:

The pool is being filled at a constant rate.

so
How would you write 6.5E4

Answers

Hope that helps



6.5 x 10^4

Or

65000

Question 1 need help asap

Answers

Answer:

x= -9

Step-by-step explanation:

Hope you got this interesting problem!

Answer:

x= x-81

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The two right triangles on the graph below are similar.

Answers

Answer:

B is the correct chose

Step-by-step explanation:

What’s the solution of x+y=29 and y=4x-11

Answers

Answer:

x = 8

y = 21

Step-by-step explanation:

y = 4x − 11

x + y = 29

Solve for x:

x + y = 29

x + 4x − 11 = 29

5x − 11 = 29

5x = 40

x = 8

Solve for y:

y = 4x − 11

y = 4 × 8 − 11

y = 21

The base of a parallelogram is 15.25 cm, side length is 12.25 cm, and height is 6.8 cm.
what is the area? answer has to be cm

Answers

Answer:

The area is 103.7 cm

Step-by-step explanation:

Multiply the base by the height:

15.25 * 6.8 = 103.7

Which expression is equivalent to
8(3x+4w)

Answers

Answer:

24x+32w

Step-by-step explanation:

24x+32w is the answer I think

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Answers

Answer:

what is it

Step-by-step explanation:

Answer:

Naruto

Step-by-step explanation:

Uzmaki

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Answers

Using the slope:1/3 and y intercept:2

Thanks guys I was needing help

Please help me please!!!

Answers

Domain : 4 ,1 ,0
Range : 2 ,1 ,0 ,-1 ,-2
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