Sue wants to put a rectangular garden on her property using 88 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x. what is the largest area that can be enclosed?

Answers

Answer 1

Answer:

Area = 44x - x²/2

Step-by-step explanation:

Given that:

Meter of fencing = 88m

Length of side of rectangle along the river = x

Only one more length is needed since river as been used as one side length of the fence.

Length = x

Width of rectangle = y = 2y (for both sides)

Hence ;

x + 2y = 88 meters

Expressing in terms of y

2y = 88 - x

y = (88 - x) / 2

y = 44 - x/2

Area of rectangle = Length * width

Area = x * y

Area = x * (44 - x/2)

Area = 44x - x²/2

Maximum. Area :

Perimeter = 4s

88 = 4s

s = 88/4 = 22

x = 2(22) = 44 = Length ; y = 22 = width

Maximum area = (22 * 44) = 968m²


Related Questions

Can someone tell me if idid this right i’m confused.

Answers

no u didn’t, the line is wrong. from the point -1 it should intercept (-2,-4) and (2,2)
Yes but the point for x should be a little closer to the one but not on it if that makes sense. If it doesn’t than I’d say that yup it’s correct.

Ryan buys 4 tacos for $5 and Maria buys 5 tacos for $8. Did they pay the same rate? Explain and show your reasoning? P.S im in a class right now so yeah.

Answers

Answer:

Step-by-step explanation: You must multuply the number of tacos by the money for all of them then you compare them and see if the see if they payed the same rate!P.S i'm in class too!!

Answer: They did not pay the same rate

Step-by-step explanation:

If they were to pay the same price the unit rate would be 1.25 but instead Ryan paid 1.25 for each taco and Maria paid 1.6 for each taco, which means they did not pay the same rate.

4 (3x + 2)-6
I neeeed help

Answers

Answer:

12x - 2

Step-by-step explanation:

Step 1: Write expression

4(3x + 2) - 6

Step 2: Distribute 4

12x + 8 - 6

Step 3: Combine like terms

12x - 2

What is 11/12 - 5/12
And plz explain step by step.

Answers

Answer:

6/12 or 1/2

Step-by-step explanation:

Since 11/12 and 5/12 have the same denominator (12), I didn't need to worry about anything pertaining to it. And because I didn't need to do anything that had to do with the denominator (12), I just did 11-5 (6), and made it 6/12, which is equivalent to 1/2. Hope this helped!

Answer:6/12

Step-by-step explanation: Step 1

Since our denominators match, we can subtract the numerators.

11 − 5 = 6

So the answer is:

6

12

Two supplementary angles are in the ratio 2:7. Find the measure of the Acute angle.

Answers

Answer:

40°

Step-by-step explanation:

Ratio of two supplementary angles = 2 : 7

The angles are 2x , 7x

2x + 7x = 180  {Supplementary}

       9x = 180

         x = 180/9

x = 20

Acute angle = 2x = 2*20 = 40

What is the greatest common factor of 16 and 13

Answers

Answer:

1

Step-by-step explanation:

The only factor they have in common is 1

FIND THE VALUE OF X AND W my answer is incorrect
PLEASE HELP ME
geometry

Answers

Step (1)

[tex](6w - 7) + (3x + 8) = 142[/tex]

[tex]6w + 3x - 7 + 8 = 142[/tex]

[tex]6w + 3x + 1 = 142[/tex]

Subtract sides -1

[tex]6w + 3x + 1 - 1 = 142 - 1[/tex]

[tex]6w + 3x = 141[/tex]

Divided sides by 3

[tex] \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ [/tex]

[tex]2w + x = 47[/tex]

I call above equation (( Ω ))

_________________________________

Step (2)

[tex]180 - 142 = 38[/tex]

We have :

[tex](6w - 7) + 38 = (10w - 9)[/tex]

[tex]6w - 7 + 38 = 10w - 9[/tex]

[tex]6w + 31 = 10w - 9[/tex]

Subtract sides -6w

[tex]6w - 6w + 31 = 10w - 6w - 9 \\ [/tex]

[tex]31 = 4w - 9[/tex]

Plus sides 9

[tex]31 + 9 = 4w - 9 + 9[/tex]

[tex]40 = 4w[/tex]

Divided sides by 4

[tex] \frac{40}{4} = \frac{4}{4}w \\ [/tex]

[tex]w = 10[/tex]

_________________________________

Do u remember (( Ω )) ?

Of course u do...

[tex]2w + x = 47[/tex]

[tex]2(10) + x = 47[/tex]

[tex]20 + x = 47[/tex]

Subtract sides -20

[tex]20 - 20 + x = 47 - 20[/tex]

[tex]x = 47 - 20[/tex]

[tex]x = 27[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Find the product. (x+4) (x -6)

Answers

Answer:

x^2-2x-24

Step-by-step explanation:

If a2> 20, then which of the following could be a value of a?

6 b. 3 c. (-8) d. 2
I'll give brainliest

Answers

Answer:

Step-by-step explanation:

a

The square root of 20 = 4.47 so a for sure.

But the root of 20 is also -4.48 so that means that 2 and 3 are added to the list

Now what to do about - 8

(- 8)^2 = 64

The square root of 64 = +/- 8

It's kind of slippery but it depends on how you see the problem. It is a bit ambiguous.

I would eliminate - 8 but your instructor may not. Argue that it should not be included, but don't take the argument on forever. Let it go.

a for sure.

b and c I think so.

-8 is iffy.

Answer a

Answer:

a.6

Step-by-step explanation:

What is the quotient of 2 1/5 divided by 6 3/5

Answers

Answer:

Step-by-step explanation:

the answer in decmil form is 0.333333

Answer:

1/3

Step-by-step explanation:

Which situation can be represented by this equation?
170 +2.5x= 325 - 4x

Answers

Answer:

The second one is the answer.

Step-by-step explanation:

J originally contained 170 fl oz (170) +(2.5x) being filled at a rate of 2.5 fl oz per min. = T originally contained 325 fl oz of water (325) - (4x) drained at a rate of 4 fl oz per minute.

170 + 2.5x = 325 -4x

Write the equation of a line that is perpendicular to y = 0.25x - 7 and that passes through the point (-6,8).

Answers

Answer:

y = -4x -16

Step-by-step explanation:

Line perpendicular have the slope = -1/m

Substitute the values,

8 = (-4)(-6) + c

8 = 24 + c

c = -16

Thus, the equation of the perpendicular line is y = -4x-16

HELP ME!!!! IM SO BAD AT THIS STUFF. 7TH GRADE MATH! 2 PARTS TO THIS

Answers

Answer:

1. 20%incresse

2. 20%incresse

3. 100%incresse

4.20% decresse

Step-by-step explanation:

12y = 4x + 8
A=
B=
C=
Can someone please help!!

Answers

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?

Answers

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

Tell me if this helped or not.

What’s the answer???

Answers

Answer:

8/12 or 2/3

Step-by-step explanation:

Y=1.5x, hope this helps

Can someone please help

Answers

Answer:

I would say 0 if you add it all to be honest, but I’m not TOO aware- Hope this helps at least a bit!

Step-by-step explanation:

Find the difference (10m+3)-(4m-2)

Answers

Answer:

6m + 5

Step-by-step explanation:

Answer:

6 +5 m

Step-by-step explanation:

solve the systems of equations
y=x²-6
y=-2x+9

Answers

Answer:

(x1 , y1) = (-5 , 19)(x2 , y2) = (3 , 3)

For the function f(x) = x + 2, find f-'(x).

Answers

[tex]f(x) = x + 2[/tex]

[tex]y = x + 2[/tex]

Subtract the sides of the equation minus 2

[tex]y - 2 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = x - 2 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

a women jumps 25 times in 10 seconds how many times will she jump in 30 seconds

Answers

answer:

75 times

explanation:

just add 25 per 10 seconds

Answer:

The correct answer is 75 jumps in 30 seconds.

Step-by-step explanation:

All you do is multiply 25x3=75. Because 3x10=30.

Two parallel lines are crossed by a transversal.

Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.
What is the value of d

Answers

Answer:

125

Step-by-step explanation:

Measure of d will be,

⇒ d = 125°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Here, r and s are two parallel lines

And, q is the Transversal

Here, Uppercase left angle is 125 degrees

And, The bottom right angle is d degrees

We know that the sum of supplementary angles is 180°

Hence, By the figure, we get;

125 + x = 180

x = 180 - 125

x = 55°

Also we know that

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

So, Measure of d will also be,

d = 125°

Or,

d = 180 - 55

   = 125°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ6


Which expression has a value of 2/3 when x = -5?

Answers

Answer:

What are your choices

Step-by-step explanation:

What are the x-intercepts of this function? f(x)=-9x^2+3x1

Answers

[tex] - 9 {x}^{2} + 3x = 0 [/tex]

[tex]3x( - 3x + 1) = 0[/tex]

[tex]3 x = 0 \\ x = 0[/tex]

And

[tex] - 3x + 1 = 0 \\ - 3x = - 1 \\ x = \frac{ - 1}{ - 3} \\ x = \frac{1}{3} [/tex]

So the x-intercepts are :

[tex]x = 0 \: \: \: \: \: and \: \: \: \: \: x = \frac{1}{3} \\ [/tex]

I need help!!! Someone please help

Answers

Answer:

See below

Step-by-step explanation:

According to the graph the answers are

1. Slope is 2

(1 - (-1))/(0 - (-1)) = 2/1 = 2

2. y - intercept is 1

point (0, 1)

3. Slope- intercept formula

y = 2x + 1

70 less than twice Jose's savings. Use the variable J to represent Jose's savings

Answers

Answer:

2J-70

Step-by-step explanation:

what is the area of tile 10 in.6 in.and 8 in​

Answers

Answer:

480

Step-by-step explanation:

u multiply 10x6x8=480

So first to solve the problem you do 10x6= 60 and then you 60x8= 480

so the area is 480 inches

Find the slope from point 0,0 to point 7,12



Slope = m = rise/run

=

y2​− y1​

x2​ − x1​​

Answers

The slope is 12/7. Take a look at the picture attached.

I need some help with this equation.

Answers

Answer:

I think that the answer is C) or the last one

I think it's the second one

HELP #1 *i will give whoever answers brainliest,but your answer has to be correct and you have to explain*
The first term in an arithmetic sequence is 12. The third term in the sequence is 4. The tenth term in the sequence is -24.

A. Write the function that could be used to find the nth term of the arithmetic sequence

B. Daelyn said that the recursive formula for this sequence could be described as, “to find the next term of the sequence, add -4 to the previous term.” Do you agree or disagree that this statement is equivalent to the explicit formula that you created in part A? Explain.

Answers

Answer:

A-> a(n)=a+(n-1)d

B-> Yes, I do agree

Step-by-step explanation:

A=   a+(n-1)d

where a=the first term

           n=the term's location

           d= the difference between two adjacent terms

B= I agree

a3=12+2d=4.........equation 1

          2d=-8

             d=-4

a10=12+9d=-24.....equation 2

            9d=-36

              d=-4

Hence, to find the next term of the sequence, add -4 to  the previous term.

{I hope this answers your question}

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