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3 years ago

9

A farmer wants to enclose a rectangular field along a river on three sides. If 2,800 feet of fencing is to be used, what dimensi

ons will maximize the enclosed area?

1 answer:

Lady bird [3.3K]3 years ago

5 0

933.33 x 933.33 is ypur answer to maximize area

You might be interested in

DE=2x <br> EF=2x-6<br> DF=3x+5<br> What is DE

Nataly_w [17]

Answer:

DE=2x you kinda put the answer

Step-by-step explanation:

5 0

3 years ago

A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can

svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

A completes $\dfrac{1}{x-5}$ of all work;
B completes $\dfrac{1}{x}$ of all work.

Hence, in 1 day both A and B complete $\dfrac{1}{x-5}+\dfrac{1}{x}$ of all work. A and B working together can do a work in 6 days. Then

$6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.$

Solve this equation:

$\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.$

If $x=2,$ then $x-5=-3$ that is impossible. So, B needs 15 days to complete the work alone.

6 0

3 years ago

13 million<br> in scientific notation

amm1812

13,000, 000 is the correct answer

3 0

3 years ago

Which equation in point-slope form contains the point (−3, 5) and has a slope of −4?

Oksi-84 [34.3K]

Answer:

y - 5 = -4(x + 3)

Step-by-step explanation:

This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:

y - y₁ = m(x - x₁).

We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:

slope (m) = <u>y - y₁</u>

x - x₁

So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:

y - <u>5</u> = m(x - x₁).

Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:

y - 5 = m(x - (<u>-3</u>)).

Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:

y - 5 = m(x + 3).

Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:

y - 5 = -4(x + 3).

I hope that this helps.

3 0

3 years ago

On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.

Dahasolnce [82]

By direct comparison and definition of <em>line</em> segment we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a <em>line</em> segment if its vector is a multiple of the vector that generates the <em>line</em> segment itself, that is:

<u>AB</u> = k · <u>AP</u> (1)

The vector that generates the <em>line</em> segment is:

<u>AB</u> = (2, 6) - (- 2, 3)

<u>AB</u> = (4, 3)

And the vectors related to each point are:

Case A

<u>AP</u> = (- 2, 12) - (- 2, 3)

<u>AP</u> = (0, 9)

Case B

<u>AP</u> = (6, 12) - (- 2, 3)

<u>AP</u> = (8, 9)

Case C

<u>AP</u> = (- 6, 0) - (- 2, 3)

<u>AP</u> = (- 4, - 3)

Case D

<u>AP</u> = (- 6, 6) - (- 2, 3)

<u>AP</u> = (- 4, 3)

By direct comparison and definition of <em>line</em> segment we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

To learn more more on line segments: brainly.com/question/25727583

#SPJ1

4 0

1 year ago