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murzikaleks [220]
3 years ago
13

There is enough fencing to surround the dog's play yard. The yard must have a perimeter of n more than 38 feet. The length of th

e rectangular yard is 14 feet long. The width is 3x - 7.​
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

Step-by-step explanation:

Let y = length of side parallel to the side with no fence

    x = length of each of the other two sides

Then, y+2x = 64.  So, y = 64-2x

Area = A = xy = x(64-2x)

The graph of the area function is a parabola opening downward with a highest point and with x-intercepts (0,0) and (32,0).

By the symmetry of the parabola, the x-coordinate of the maximum point lies halfway between the x-intercepts.  

So, the area is maximized when x = 16 ft

                                            y = 64 - 2x = 32 ft

Maximum area = xy = (16)(32) = 512 ft2

To maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.  

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Long N. answered • 10/06/16

TUTOR  4.5 (4)

Years of Tutoring Calculus, Algebra, Statistics, Finance and SAT Prep

SEE TUTORS LIKE THIS

For the fixed given perimeter, the maximum area which can be obtained is a square.

So for 3 sides= 64 feet

one side = 64/3

The maximum area is 64/3*64/3 square feet

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slava [35]

Answer:The area of the base will be (1)(3) m

The area of the right and left lateral faces will be (1)(2) = 2m

The area of the front and back lateral faces will be (2)(3) = 6m

The lateral area of the prism will be 16 m

Step-by-step explanation:

5 0
2 years ago
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X+y=26<br> 3x+8y=123<br> What is x equal
Pani-rosa [81]

Answer:

x=17, y=9. (17, 9).

Step-by-step explanation:

x+y=26

3x+8y=123

------------------

x=26-y

3(26-y)+8y=123

78-3y+8y=123

78+5y=123

5y=123-78

5y=45

y=45/5

y=9

x=26-9=17

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Answer:

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What is the volume of this prism? <br> A. 23.9 ^3<br> B. 47.7 cm^3<br> C. 4.50 cm^3<br> D. 9.00 cm^3
melisa1 [442]

Answer: A) 23.9

Step-by-step explanation:

volume of a shape means the area of its base multiplied by its height

so , the base here is a right angle triangle it's area equals 1/2*b*h = 1/2*3*6=9 m² and the prism height is 2.65.

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Answer:

The answer is -3

Step-by-step explanation:

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