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natima [27]
3 years ago
15

Which properties are used to add these complex numbers? Choose all that apply.

Mathematics
2 answers:
mario62 [17]3 years ago
5 0

B. Associative Property , you're working out the numbers in the parentheses before anything else.

Dennis_Churaev [7]3 years ago
3 0

Answer:

Properties used here are:

A. Commutative property.

C. Associative property

Step-by-step explanation:

Given the expression:  

(7+2i) + (4+3i)

(7+  2i) + 4 + 3i

According to associative property:

a + (b + c) = (a + b) + c

7 + (2i + 4) + 3i

Using commutative property:  

a + b = b + a

7 + (4 + 2i) + 3i

(7 + 4) + (2i + 3i)

Simplify:

11 + 5i

So, we use Commutative & Associative Property.

That's the final answer.

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The fuse are building a new home one of the bedroom closet has an area of 48 square feet and a perimeter of 32 ft what are the l
olya-2409 [2.1K]

Answer: The length is 12 feet and the width is 4 feet.

Step-by-step explanation:

Let L represent the length of the bedroom closet.

Let W represent the width of the bedroom closet..

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the bedroom closet is 32 ft. This means that

2(L + W) = 32

Dividing through by 2, it becomes

L + W = 32/2

L + W = 16

The area of the bedroom closet is 48 ft². This means that

LW = 48 - - - - - - - -- - - - - - 1

Substituting L = 16 - W into equation 1, it becomes

W(16 - W) = 48

16W - W² = 48

W² - 16W + 48 = 0

W² - 12W - 4W + 48 = 0

W(W - 12) - 4(W - 12) = 0

W - 12 = 0 or W - 4 = 0

W = 12 or W = 4

L = 16 - 4 = 12

3 0
3 years ago
Robert is inspecting a shipment of 22 inch pipes. The length of the pipes may vary by 1%. What is the range of allowable lengths
Slav-nsk [51]

Answer:

The allowable lengths of pipe is from 21.78 inch to 22.22 inch.

Step-by-step explanation:

The length of the each pipe in the shipment =  22 inch

The variation in the length of pipes  = 1%

⇒The allowable length of pipe in the inspection  = 22 inch ± 1%

Now, 1% of 22 = \frac{1}{100}  \times 22 = 0.22

So,  22 inch + 1% = 22 inch + 0.22 =  22.22 inch

and 22 inch -  1% = 22 inch - 0.22 =  21.78 inch

⇒ 22 inch ± 1%  =  22.22 inch and 21.78 inch

Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.

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Answer:

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