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Ainat [17]
3 years ago
14

A kennel owner has 400 feet of fencing to enclose a rectangular dog exercise pen. Express the area of the exercise pen, A, as a

function of one of its dimensions, x. A(x) = x(x - 200) A(x) = x(x - 200) A(x) = x(400 - x) A(x) = x(400 - x) A(x) = x(200 - x) A(x) = x(200 - x) A(x) = (200 - x)2
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

A(x) = x(200-x)

Step-by-step explanation:

400 feet of fencing to enclose a rectangular dog exercise pen means the perimeter of rectangle is 400 feet

If x is length and y is breadth. Perimeter is given by :

P = 2(x+y)

400 = 2(x+y)

⇒ (x+y) = 200 .....(1)

y = 200-x

Area of a rectangle is given by :

A = xy

A(x) = x(200-x)

Hence, the area as a function of length of rectangle is x(200-x).

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An architect designs rectangular flower garden such that the width is exactly 2/3 of the length. of 290 ft of antique picket fen
kramer

Length (L): L

width (w): (2/3)L

Perimeter (P) = 2L + 2w

               290 = 2(L) + 2(2/3)(L)

               870 = 6L + 4L

               870 = 10L

                87 = L

width (w): (2/3)L   = (2/3)(87)   = 2(29)   = 58

Answer: width = 58 ft, length = 87 ft



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3 years ago
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3 years ago
Y= 3x+7<br> y = -2x - 3<br> Whats the x and y for the solution
Tanzania [10]

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

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Hope this helps!

8 0
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ANSWER ASAP What is the volume of this right triangular prism? A. 180 cubic centimeters B. 120 cubic centimeters C. 90 cubic cen
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Volume of the right triangular prism 90 cube cm.

Step-by-step explanation:

Given,

In the right triangular prism

Length (l) = 6 cm

Base (b) = 5 cm

Height (h) = 6 cm

To find the volume of the right triangular prism

Formula

Volume of the right triangular prism = \frac{1}{2}bhl

Now,

Volume of the right triangular prism = \frac{1}{2}×6×6×5 cube cm

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Please help me out man<br><br> f/ 6 = 17
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Answer:

f/6=17

f=17×6

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Hope it helps!!!

7 0
3 years ago
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