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2 years ago

Factorize : a2 + b2 _ 2(ab - ac + bc ).

Mathematics

1 answer:

ruslelena [56]2 years ago

7 0

(a² + b² - 2ab) + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)

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A real estate company wants to build a parking lot along the side of one of its buildings using 800 feet of fence. If the side a

Elden [556K]

Answer:

80,00 $ft^{2}$

Step-by-step explanation:

According to my research, the formula for the Area of a rectangle is the following,

$A = L*W$

Where

A is the Area
L is the length
W is the width

Since the building wall is acting as one side length of the rectangle. We are left with 1 length and 2 width sides. To maximize the Area of the parking lot we will need to equally divide the 800 ft of fencing between the <u>Length and Width.</u>

800 / 2 = 400ft

So We have 400 ft for the length and 400 ft for the width. Since the width has 2 sides we need to divide 60 by 2.

400/2 = 200 ft

Now we can calculate the maximum Area using the values above.

$A = 400ft*200ft$

$A = 80,000ft^{2}$

So the Maximum area we are able to create with 800 ft of fencing is 80,00 $ft^{2}$

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Read more on Brainly.com - brainly.com/question/12953427#readmore

3 0

2 years ago

What is the value of x (81) (7x+15)

scoray [572]

Answer:

9 if I am correct also I rounded to a whole number, am not sure

3 0

3 years ago

What is the midpoint of -1 and 6?

Ivahew [28]

Answer:

3.5

Step-by-step explanation:

6--1 = 7/2

= 3.5

5 0

3 years ago

Jeannie discovered that the ratio of kilometers to miles is 1 to 0.6. When her family was driving in Canada, she saw a sign that

Svetradugi [14.3K]

It would be 48 miles

4 0

3 years ago

For f(x) = 5x and g(x)= x + 9, find

Bad White [126]

Answer:

(fog)(x) = 5x+45

(gof)(x) = 5x+9

(fog)(3) = f(g(3)) = f(12) = 60

Step-by-step explanation:

Given

f(x) = 5x

g(x) = x + 9

Finding (fog)(x)

(fog)(x) = f(g(x))

(fog)(x) = f(x+9)

(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)

(fog)(x) = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x) = g(5x)

(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

5 0

2 years ago