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
Elena L [17]
3 years ago
8

The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

Area= length*width

Putting values:

Area= length*width

869= (3+2w)*(w)

869= 3w+2w^2

2w^2+3w-869=0

Using quadratic equation to find value of width w:

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a=2, b=3 and c=-869

w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}

w=\frac{-3\pm\sqrt{6961}}{4}

w=\frac{-3\pm 83.4}{4}

w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}

w=20.108\,\,and\,\,w=-21.6

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/3306327
  • brainly.com/question/6270221
  • brainly.com/question/6564657

#learnwithBrainly

You might be interested in
Use the Quadratic Formula to find the x-intercepts (zeros) to the following equation: 0 = -2x2 - 7x + 12
IRISSAK [1]

Answer:

The x-intercept is 8/7.

Step-by-step explanation:

There is only one x-intercept because the equation is linear. And you don't need the quadratic formula to find the x-intercepts at all. Hope this helps!!

8 0
3 years ago
What is the recursive of this:
abruzzese [7]

Answer:

a_n=a_{n-1}+2^{n-1}\ \ n>1

Step-by-step explanation:

Recursive Sequence

We are given the following sequence:

-1, 1, 5, 13...

It's required to find the recursive term for the sequence.

A recursive formula calculates each term as a function of one or more previous terms.

To find the recursive formula, we must find a pattern and transform it into a math expression.

Let's write the sequence, and below it, the difference of consecutive terms:

-1,   1,   5,   13...

+2,  +4,  +8

Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.

The exponent is one less than the number of the term, thus:

a_n-a_{n-1}=2^{n-1}

Thus:

\mathbf{a_n=a_{n-1}+2^{n-1}\ \ n>1}

Testing:

n=1

a_1=-1 (given).

n=2

a_2=a_{1}+2^{2-1}=-1+2^{1}=1

n=3

a_3=a_{2}+2^{3-1}=1+2^{2}=5

n=4

a_4=a_{3}+2^{4-1}=5+2^{3}=13

3 0
2 years ago
write an equation in point-point form for the line through the given point with the givedescribe how the graph of y | x| -4 is l
Digiron [165]
a) The point-slope form of the equation of a line through point (h, k) with slope m is
  y - k = m(x - h)

In point-slope form, the equation of the line through (-3, -7) with slope -6/5 is
  y + 7 = (-6/5)(x + 3)


b) The graph of
  y = |x|-4
represents a translation downward 4 units of the graph of
  y = |x|
It retains the same general shape and axis of symmetry, but will have two (2) x-intercepts instead of one (1).

4 0
3 years ago
Rewrite the following equation in standard form. y=4x+10
Virty [35]

standard from Ax +By = C

y = 4x+10

subtract 4x from each side

-4x+y = 10

or 4x - y = -10

3 0
3 years ago
The<br> The point (2,6) is on the line given by which equation below?
maria [59]

Answer:

A  y = 3x

Step-by-step explanation:

We can check each line to see if the point is on it

A  y = 3x  6 = 2*3  6=6  this is true so the point is one the line

B  y = 4-x   6 = 2-4  6 = -2  false

C  y = -3x   6 = -3(2)  6=-6  false

D  y =-x+4   6 = -2+4   6 = 2  false

3 0
3 years ago
Other questions:
  • Suppose coke cans are stacked in a store in the shape of a triangle. Each bottom row has 3 more cans then the row directly on to
    11·2 answers
  • If x=4, which of the following expressions does not equal to 9
    7·2 answers
  • 3^4 - ( 9 + 6) * 5 + 4^0
    5·1 answer
  • What is the value of b^2 - 4ac for the following equation?<br><br> 2x^2 + 3x = -1
    6·1 answer
  • Thomas makes 72%of the free throws that he attempts. If he tries 11 shots, how many should he make(round to the nearest one)?
    14·1 answer
  • Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius of
    7·1 answer
  • So far this season, Kristen scored 6 goals and missed on her 33 other shots on goal. What is the experimental probability that K
    9·1 answer
  • The parallelogram shown below has an area of 21 units
    8·1 answer
  • Help plssssss this is due today! This composite figure is made up of three simpler shapes. What is the area of the figure?
    11·2 answers
  • Let A=3i-j-4k,B=-2i+4j-3k and C=i+2j-k compute 2A-B+3C​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!