1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melamori03 [73]
3 years ago
14

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

the rectangle​
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

You might be interested in
Which fraction is greater than the fraction represented by the model?<br> x
aniked [119]

yiiwui. itjirn. riektkkrm. roeoykot.

Step-by-step explanation:

'll

'llhdieo

xodetrd5d5d

n3metnnrnt

tkektmykm uieuieiykir. krjrjunk. irkukkekumk. v. eitkkrn6u. diynkfn. rjynjenynkenukkt 'll

'll

8 0
2 years ago
I need explanation and answer please,thanks.
Alla [95]
What’s the question?
3 0
3 years ago
the ratio of pennies to quarters in a piggy bank is 14:3. if there are 51 quarters in the bank, how many pennies are there
malfutka [58]

The number of pennies in bank is 42

<em><u>Solution:</u></em>

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in piggy bank

Let 3x be the number of quarters in piggy bank

<em><u>To find: number of pennies</u></em>

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

number of pennies = 14x = 14(3) = 42

Thus the number of pennies in bank is 42

4 0
3 years ago
What is the solution to the system of equations graphed below?
photoshop1234 [79]
A because that is where they cross
8 0
3 years ago
Read 2 more answers
8.7 × 10 to the 5th power in standard form
Andrej [43]
Answer would be 870000
6 0
3 years ago
Read 2 more answers
Other questions:
  • Given f(x)=x^2-x; find f(-5)
    5·1 answer
  • Look at the picture
    9·1 answer
  • The area of a square poster is 59 in squared 2 Find the length of one side of the poster to the nearest tenth of an inch.
    9·1 answer
  • A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres
    11·1 answer
  • Hello, 30 POINTS + BRAINLIEST If correct and has a long explanation. I looked at the same thing in other places but I think thos
    14·2 answers
  • What would be the answer or how do I solve (x)÷9x
    14·1 answer
  • I'm getting different answers to this question and I'm so confused-
    12·2 answers
  • How do u find the pints of best fit ?
    11·1 answer
  • The radius of a circle is 16 cm. Find its area in terms of π
    8·2 answers
  • HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!