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
Rashid [163]
3 years ago
12

A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

fence parallel to two sides. find the dimensions of the land that require the least amount of fencing.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0
Let the length be x and the width be w

The perimeter will be:
2x+3w=1500

thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x

The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²

The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.

Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m

The width will be 250 m

You might be interested in
Pleaseeee help meee i dont understand
prohojiy [21]
-(5y) - y = 18
-6y = 18
y = -3
x = 5(-3)
x = -15
(-15, -3)

5x + 4(-7x - 3) = -35
5x -28x -12 = -35
-23x = -23
x = 1
y = -7(1) - 3
y = -10
(1,-10)
3 0
3 years ago
Question 6 (2 points)
Orlov [11]

Answer:

Blank 1: (-7,0)

Blank 2: (-1,0)

Step-by-step explanation:

Plug x=0 into the equation and solve the resulting equation y=7 for y

Plug y=0 into the equation and solve the resulting equation 0=(x+1)(x+7) for x

6 0
2 years ago
What point is on the graph of every direct variation equation
Alexeev081 [22]
Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
4 0
3 years ago
Find the volume of the triangular prism.<br> NEED ASAP PLS
Alexus [3.1K]

Answer:

32 inches cubed

Step-by-step explanation:

Multiply the length by the width: 4*4=16

Multiply by 12: 16*1/2=8

Multiply by height: 4*8=32

Hope this helped!

5 0
3 years ago
Read 2 more answers
I know the answer but I need to explain how to get the answer. Please help❤️
kondaur [170]

Answer:

730, 735, 740

Step-by-step explanation:

Let the three consecutive multiples of 5 be, x, x+5 and x+10

Given,

x + x+5 + x+10 = 2205

3x + 15 = 2205

Subtract 15 from both sides,

3x = 2205 - 15

3x = 2190

Divide both sides by 3,

x = 2190/3 = 730

So, x= 730

x+5 = 735

x+10 = 740

5 0
2 years ago
Other questions:
  • The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?
    13·2 answers
  • justin paid $1,185 in sales tax on her new car. The car cost $15,800 before taxes. What percent was the sales tax rate?
    5·1 answer
  • Form a​ third-degree polynomial function with real coefficients such that −7+i and 9 are zeros.
    5·1 answer
  • Answer 20 and 21 please
    13·1 answer
  • Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.2 pounds. This month, the puppy weighed 8.68 pounds
    11·2 answers
  • I will greatly appreciate if you can solve this question!
    15·1 answer
  • Answer the question plz
    5·2 answers
  • What is the approximate volume of the cylindrical cup? Use 3.14 for n.
    6·1 answer
  • If 840 CLASS eighth graders, making up 4/5 of total eighth, studied algebra during summer, how many eighth graders are enrolled
    13·1 answer
  • Ruby ate 1/5 of a pie . If there was 10 slices of pie , how many did she eat . <br> SHOW YOUR WORK
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!