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]
2 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]2 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
One is 25% of what number
Sergio039 [100]

Answer:

5 i think

Step-by-step explanation:

what your asking is 5x5? so 25

4 0
2 years ago
Read 2 more answers
X is from a to b translates to a≤x≤b<br><br> A. True<br> B. False
JulsSmile [24]

Answer:

True

Step-by-step explanation:

mark brainliest

3 0
3 years ago
Read 2 more answers
2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
Dima020 [189]

Step-by-step explanation:

here is your answer

enjoy

thanks to another users to give this answer

7 0
2 years ago
Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face
nordsb [41]

Answer:

60 feet but i think the question is written wrong

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
You have a pan with a radius of 16 centimeters. if the cooking instructions say to cover the entire bottom of the pan with butte
Leno4ka [110]
Radius of the pan = 16cm

Formula for area of circle:
           
                   \boxed { \boxed { \text {Area of a circle =}  \pi r^2}}

Find the area of the pan:

                   \text {Area of the pan =} \pi (16)^2 = 804.25 \ cm^2

\boxed { \boxed {\text {Answer : The butter must cover 804.25 cm}^2}}


4 0
3 years ago
Other questions:
  • Given the equation 7x-6=5(x+4) solve for variable and explain each step and justify your process
    10·2 answers
  • Can someone help me with this?
    8·2 answers
  • Determine if the ordered pair is a solution to the equation<br> (-2,0)
    15·1 answer
  • 3/4(8p+12)+3/8(8-16p)
    15·1 answer
  • What is the compound inequality
    6·1 answer
  • A construction company uses the function f(x), where x is the number of people working on a project, to model the amount of mone
    15·2 answers
  • What is the value of 150 degrees in radians?
    14·1 answer
  • Helpqquuuiiiiccckkkkk
    7·1 answer
  • Carl hits the target 50% pf the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. The assigns H
    10·1 answer
  • 2x2 +5x+8<br> Given x 3-2, the expression<br> x+2.<br> is equivalent to
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!