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3 years ago

Which is the additive inverse of the complex number -8+3i?

1 answer:

3 0

The additive inverse of a complex z is a complex number $-z,$ so that

$\mathsf{z+(-z)=-z+z=0+0i=0}$

Finding $-z:$

$\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark$

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Tags: <em>complex number additive inverse opposite algebra</em>

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Can a triangle have sides with the given lengths? Explain.

Nookie1986 [14]

No because when you add any 2 sides the answer has to be bigger than the 3rd side

ex: 2+7=9
9 is too small, so the tips of the side that is 2ft would not touch the side that is 7ft

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3 years ago

Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c

enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

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2 years ago

Evaluate the following expression if y = 4

sleet_krkn [62]

15+5•y/2

15+5•4 / 2

15+20 / 2

15+10

=25

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2 years ago

Which equation gives the number of 1/3 inches that are in 5/6inch?

Annette [7]

Answer:

$2\frac{1}{2}$

Step-by-step explanation:

Let

x ----> the number of 1/3 in that are in 5/6 in

To find out the number of 1/3 in that are in 5/6 in, divide 5/6 by 1/3

$x=\frac{5}{6}:\frac{1}{3}$

Multiply in cross

$x=\frac{15}{6}$

Convert to mixed number

$\frac{15}{6}=\frac{12}{6}+\frac{3}{6}=2\frac{3}{6}=2\frac{1}{2}$

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3 years ago

What is the simplified form of the expression 3a + 7 - a - 7

Sonja [21]

You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.

Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.

There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.

Which are the like terms?

3a and a are both like terms. They both have the same variables and they both have the same exponent.

7 and -7 are like terms, too.

3a + 7 - a - 7
2a

So, 2a is the simplified version.

6 0

3 years ago

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