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Dmitry_Shevchenko [17]
3 years ago
9

If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?

Mathematics
2 answers:
GuDViN [60]3 years ago
8 0

What's the shape of what the farmer is fencing?

iogann1982 [59]3 years ago
6 0

Answer:

square of  each side=38 ft

Step-by-step explanation:

square has the largest area.

each side=152/4=38ft

alternatively

let x and y be the sides

2x+2y=152

x+y=76

y=76-x

area A=xy=x(76-x)=76x-x²

\frac{dA}{dx} =76-2x\\\frac{dA}{dx} =0,gives ~76-2x=0\\2x=76\\x=76/2=38 \\\frac{d^2A}{dx^2} =-2

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Hey there! I'm happy to help!

The linear equation with m and b is called the slope intercept equation, where m is the slope and b is the y intercept. It is written as y=mx+b.

We see that m is equal to 1 and b is equal to -2. We can write this down as y=1x-2, or just y=x-2 as 1x is just x.

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6 0
3 years ago
Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
fenix001 [56]

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

6 0
3 years ago
Clark and his brother kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent s
Schach [20]

Answer:

7 Goals

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5 0
4 years ago
Alanah is picking up two friends to go to a concert. She drives from her house to pick up Mia, then she drives to pick up Teresa
Ksivusya [100]

Answer:

Total distance = 30.3 units

Step-by-step explanation:

Coordinates for the location of Alanah, Mia, Teresa and Arena are,

Alanah → (2, 8)

Mia → (8, 16)

Teresa → (8, 2)

Arena → (14, 4)

Distance between two points (x_1,y_1) and (x_2,y_2) is given by the formula,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance between Alanah and Mia = \sqrt{(16-8)^2+(8-2)^2}

                                                          = \sqrt{100}

                                                          = 10 units

Distance between Mia and Teresa = \sqrt{(16-2)^2+(8-8)^2}

                                                          = 14 units

Distance between Teresa and Arena = \sqrt{(4-2)^2+(14-8)^2}

                                                              = \sqrt{40}

                                                              = 6.3 units

Total distance of Alanah's trip to Arena = 10 + 14 + 6.3

                                                                  = 30.3 units

3 0
3 years ago
Read 2 more answers
4 times the difference of a number and 2 is 13
rusak2 [61]

The correct answer is B.

7 0
3 years ago
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