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4 years ago

Please help me 16,18

Mathematics

1 answer:

WITCHER [35]4 years ago

4 0

3k-7(1+k)
Distribute
3k-7+7k
Add
10k-7

-5x-2(12x-4)
Distribute
-5x-24x+8
Subtract
-29x+8

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Jessie is fencing in a rectangular plot outside of her back door so that she can let her dogs out to play. She has 60 feet of fe

DerKrebs [107]

Answer:

Dimensions are length 15 feet and width 30 feet.

Maximum area of the plot is 450 feet².

Step-by-step explanation:

Let the length of the plot = x feet and width = y feet.

Since, the amount of fencing to be applied on the three sides of the plot is 60 feet.

We have,

$2x + y = 60$ i.e. $y=60-2x$

Now, Area of the rectangular plot = Length × Width

i.e. Area of the rectangular plot = $x \times y$

i.e. Area of the rectangular plot = $x\times (60-2x)$

i.e. Area of the rectangular plot = $-2x^2+60x$

Since, the maximum of the quadratic equation $ax^2+bx+c$ will be obtained at $x= \frac{-b}{2a}$ .

Then, the maximum of the area of the plot is at the point $x= \frac{-60}{2\times (-2)}$ i.e. x= 15

Then, maximum area of the rectangular plot = $-2x^2+60x$

i.e. maximum area of the rectangular plot = $-2\times 15^2+60\times 15$

i.e. maximum area of the rectangular plot = -450+900 = 450 feet²

Hence, Maximum area of the plot is 450 feet².

Then, $y=60-2\times 15$ implies $y=60-30$ i.e. y= 30.

Hence, the maximum area is enclosed by the length 15 feet and width 30 feet.

6 0

4 years ago

F^2• f^3 A:f^5 B:f^6 C:(2f)^5 D:(2f)^6

Serjik [45]

Answer:

Step-by-step explanation:

3 0

4 years ago

Please help ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!

Marina86 [1]

Answer:

Red Box:

Top: 12.57 Top: 78.54

Bottom: 12.57 Bottom: 78.54

Rectangle: 32 Rectangle: 110

SA: 125.66 SA: 502.65

Yellow Box:

#1: 1156.1

#2: 88

Green Box:

#1, Top Left: 3103.9

#2, Bottom Left: 716.3

#3, Top Right: 495.4

#4, Bottom Right: 325.7

Blue Box:

#1: h=8

SA=2πrh+2πr²

527.8=2(3.14)6h+2(3.14)(6)²

527.8=6.28(6)h+(6.28)(6²)

527.8=37.68h+(6.28)(36)

527.8=37.68h+226.08

-226.08 -226.08

301.72=37.68h

301.72/37.68=37.68h/37.68

8=h

#2: h=0.87

Hope This Helps You Out!!!! :)

6 0

3 years ago

Read 2 more answers

The first term of a sequence is 13

MrRa [10]

Answer:

- 2

Step-by-step explanation:

Using the term- to - term rule of subtract 5

This means to find a term in the sequence, subtract 5 from the previous term.

Given a(1) = 13, then

a(2) = a(1) - 5 = 13 - 5 = 8

a(3) = a(2) - 5 = 8 - 5 = 3

a(4) = a(3) - 5 = 3 - 5 = - 2

The fourth term is - 2

6 0

3 years ago

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

Oksana_A [137]

The way she put it implies that she will sell many water bottles and only one iced tea. the correct equation would be 1.25x+1.49y=100, as she may sell different amounts of each.

4 0

3 years ago