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4 years ago

State the additive property of zero using the variable b.

Mathematics

1 answer:

Juli2301 [7.4K]4 years ago

7 0

Answer with Step-by-step explanation:

We are given a variable b

We have to state the additive property of zero using the variable b.

Additive property of zero: It states that when any number b is added to zero then we get sum is equal to number itself.

Mathematical representation:

$b+0=0+b=b$

Suppose, a number b=9

Then, 9+0=9

0+9=9

This property is called additive property of zero because when 9 is added to 0 then we get sum equals to 9.

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loris [4]

Answer:

Part 11) $a_n=a_{n-1}-16$ , $a_1=17$

Part 2) 4+3i

Step-by-step explanation:

Part 11) write a recursive rule for the sequence

$17,1,-15,-31,...$

Let

$a_1=17\\a_2=1\\a_3=-15\\a_4=-31$

we know that

$a_2-a_1=1-17=-16$ ----> $a_2=a_1-16$

$a_3-a_2=-15-1=-16$ ----> $a_3=a_2-16$

$a_4-a_3=-31-15=-16$ ----> $a_4=a_3-16$

This is an arithmetic sequence

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d).

In this problem the common difference is equal to $d=-16$

therefore

A recursive rule for the sequence is

$a_n=a_{n-1}+d$

substitute the value of d

$a_n=a_{n-1}-16$

where

$a_1=17$

Part 12) What is the complex conjugate of 4-3i?

we know that

The complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign

we have that

the real part of the given number is 4 and the the imaginary part is -3i

the imaginary part equal in magnitude but opposite in sign is +3i

therefore

the complex conjugate of the given number is equal to

$4+3i$

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Step-by-step explanation:

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