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2 years ago

What is the property of (4 + 7) + 8 = 4 + (7 +8) ?

Mathematics

1 answer:

nasty-shy [4]2 years ago

4 0

Answer:

Commutative

Step-by-step explanation:

2 + 4 = 4 + 2 as an example

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An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic

kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

4 0

2 years ago

Question

nika2105 [10]

Answer:

y = -1

Step-by-step explanation:

(y+1)/(x-8) = (-1+1)/(-2-8)

(y+1)/(x-8) = 0

y+1 =0

y= -1

8 0

2 years ago

Fill in the blank to make the expression a perfect square.. . u^2-16u+?

hram777 [196]

U² - 16 u + 64 = ( u - 8 )²
because: A² - 2 A B + B² = ( A - B )²
Answer: 64

8 0

2 years ago

The probability of it snowing on a given day is 4 솎<br>What is the probability of it not snowing?

Sindrei [870]

Answer:

Step-by-step explanation:

Semoga membantu anda anda sekalian

bye vangkee

6 0

2 years ago

Please help, 50 points! :) <br>PDF attached below

Sveta_85 [38]

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = $2713.27743\dots$ ( About 2713 recommendations )

8 0

2 years ago