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
Kay [80]
4 years ago
14

Beth has 2000 feet of fencing available to enclose a rectangular field. one side of the field lies along a river, so only three

sides require fencing. express the area a of the rectangle as a function of x, where x is the length of the side parallel to the river.
Mathematics
1 answer:
almond37 [142]4 years ago
7 0

Answer:   f(x)=\dfrac{2000x-x^2}{2}

<u>Step-by-step explanation:</u>

Perimeter (P) is the total length of the fencing which covers 2 sides of one length and 1 side of another length (because the side along the river does not need fencing).  So, P = 2L+ x  where L is the length and x is the width.

P = 2000 and P = 2L + x   →   2000 = 2L + x

\text{Solve for L:}\\\\2000 = 2L + x\\\\2000-x=2L\\\\\dfrac{2000-x}{2}=L

Area (A) is length x width  →  A = L × x

\text{Use substitution to replace L with}\ \dfrac{2000-x}{2}\\\\A = f(x)=\bigg(\dfrac{2000-x}{2}\bigg)x\\\\\\.\qquad \qquad =\dfrac{2000x-x^2}{2}

You might be interested in
Please help me if you know!! Thank you so much!!
Rus_ich [418]

Answer:

The Chinese act

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 421 mph and the other going east at 384 m
Papessa [141]
I am not sure if I am correct.
I think that the angles did not help to solve the problem, ( it makes an obtuse angle)
and the unit rate is 421 mph and 384 mph.

2*421+384*2= 1610 miles
or
2 (421+384)= 1610 miles


Answer: 1610 miles
3 0
3 years ago
Estimate the value of √2
marusya05 [52]

Answer:

B. 0.50

Step-by-step explanation:

It claims to estimate. Square root of 2 would be somewhere around 1. Square root of 5 would be somewhere around 2. Then you divide, 1/2, and that should equal 0.50.

I hope this is correct!

3 0
3 years ago
Read 2 more answers
Find the sum of the even integers between 21 and 45
Vika [28.1K]
22+24+26+28+30+32+34+36+38+40+42+44= 396
6 0
4 years ago
Read 2 more answers
A pizza parlor offers 10 toppings. How many 3-topping pizzas could they put on their menu? Assume double toppings are not allowe
andreev551 [17]

Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.

Given 10 toppings

10C3 =10!/3! 7! =120

10P5 =10!/5! =30240 ways

A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.

In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.

The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.

Learn more about combination here: brainly.com/question/11732255

#SPJ4

8 0
2 years ago
Other questions:
  • Common multiples of 15 20 45
    15·2 answers
  • The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the s
    6·1 answer
  • A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯ , A′B′¯¯¯¯
    7·1 answer
  • Angle 1 and 2 are vertical angles. If the measure of angle 2 is 105 degrees, find the measure of angle 1.
    12·2 answers
  • How much interest is earned in 2 years
    15·1 answer
  • What is the number 1,000 less than 28,648
    12·2 answers
  • Which expression is equivalent to (3.1x−2.4y+1.9)+(2.2x−1.4y−3.4)?
    7·1 answer
  • Is this correct?<br><br> 6h - 1 = 7<br><br> h = 4
    6·2 answers
  • What is the value of x in the equation 1/5x-2/3y = 30, when y = 15?
    10·2 answers
  • Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes inst
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!