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
goldfiish [28.3K]
3 years ago
11

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

e garden

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4   -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

y(y-2)=100

y^2-2y=100

subtracting 100 from both sides

y^2-2y-100=0

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

ax^2+bx+c=0

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

Solving first

y=\frac{2+\sqrt{4+400}{2}

y=\frac{2+\sqrt{404}{2}

y=\frac{2+20.099}{2}

y=\frac{22.099}{2}

y=11.049

Solving second one

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{2-\sqrt{4+400}{2}

y=\frac{2-\sqrt{404}{2}

y=\frac{2-20.099}{2}

y=\frac{-18.99}{2}

y=-9.045

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

You might be interested in
Francesca is growing 12 inches each year. How many years will it take for her to grow 6 inches
worty [1.4K]

Answer:

half a year

Step-by-step explanation:

if she grows 12 inches in one year 6 is half of that so half a year or 6 months

5 0
2 years ago
Read 2 more answers
You can work at most 20 hours next week. You need to earn at least $92 to cover your weekly expenses. Your dog-
kicyunya [14]

Answer:

x+y  ≤ 20

7.50x+6y ≥ 92

x = dog walking in hours

y = car washing in hours

3 0
3 years ago
What is the value of M?<br> Step by step explanation thanks!
Free_Kalibri [48]
M = 72

Your main goal in this equation is to isolate m or in other words leave m alone in one side of the equality.

All you need to do is multiply 4 in both sides for you to eliminate the denominator attached to m.

Saying this,

(M/4)(4) = (18)(4)

M = 72
4 0
2 years ago
What is the equation for the line that passes through the points (-2,1) and (1,-11)
givi [52]

Answer:

y=4x+7

Step-by-step

(-2,1) and (1,-11)

1)Rule you should use is run over rise aka slope

y²-y^1=

x^2-x^1=

(-11)-1=12

1-(-2)=3

12/3=4

slope =4

2)Rule of point slope intercept

y - y1 = m(x - x1)

y+1=4(x+2)

y+1=4x+8

   -1     -1

y=4x+7

8 0
2 years ago
Find the inner diameter of the washer.
atroni [7]

The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter

<h3>Mensuration of Shapes</h3>

Given Data

  • Outer Diameter = 1 inch
  • Path Distance = 3/20 inch

The inner diameter

= Outer Diameter - 2*Path Distance

= 1 - 2*3/20

= 1- 6/20

= 1- 3/10

= 1/1 - 3/10

Find the LCM we have 10

= 10-3/10

= 7/10 inch

Learn more about shapes here:

brainly.com/question/25965491

8 0
2 years ago
Other questions:
  • Three students used factoring to solve a quadratic equation.
    9·1 answer
  • earth is about 4.5 billion years old, extends back to 10,000 years. it is repesented with a 10 meter timeline, what distance rep
    13·1 answer
  • Mr. Anderson wrote (7x9) 103 on the board. What is the value of that expression
    8·1 answer
  • Multiply -4x^-2y(2yx^3+6xy^3-3y^3x4)
    7·1 answer
  • You are working part-time for an electronics company while going to high school. The following table shows the hourly
    10·1 answer
  • Will give brainliest.
    6·1 answer
  • 2. Given square CANE with diagonals
    9·1 answer
  • GUYS HELPP ME!! Sketch a graph showing her distance from home. Also help me answer the questions below!
    8·1 answer
  • The height of a right triangle is √6 units and the base is √9 units. Find the area of the triangle
    12·1 answer
  • An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!