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victus00 [196]
3 years ago
11

Simplify the expression. -5+i /2i

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

\frac{1+5i}{2}

Step-by-step explanation:

We know i×i=i^2 which has value of -1.

We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).

Also multiplying by i/i does not change the value of the fraction because i/i=1.

Numerator × i gives (-5+i)i=-5i+i^2=-5i-1

=-1-5i.

Denominator × i gives (2i)i=2i^2=-2.

So the simplified version of this fraction given is:

\frac{-1-5i}{-2}=\frac{1+5i}{2}

The last simplification come from me multiplying fraction by -1/-1.

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Evaluate the expression: v ? w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2> . If the answ
Snezhnost [94]

Answer:

-13

Step-by-step explanation:

Given are two vectors v and w.

v=(6,7,-3) and

w=(-7,5,2)

We are to find the dot product of v.w

We have

Dot product is obtained by multiplying corresponding pairs and adding them

Here we have

v.w=6(-7)+7(5)-3(2)

=-13

7 0
3 years ago
Help please !!!!!!!!!!!!!!
DIA [1.3K]

The LCM will be the values that are common to both factors. From the given values the LCM will be 2² * 3² * 5

<h3>Least common multiple</h3>

LCM is the lowest number that can divide all other numbers given in an  expression.

Given the prime factorizations 2² * 3² * 5 and 2*3*5. The LCM will be the values that are common to both factors.

From the given values the LCM will be 2² * 3² * 5

Learn more on LCM here: brainly.com/question/233244

#SPJ1

8 0
2 years ago
Translate this phrase into an algebraic expression.
Verizon [17]

Answer:

Step-by-step explanation:

9n-2

5 0
2 years ago
Which of the following are exact numbers?
Mademuasel [1]

Answer:

Explanation with the help of discrete variables and continuous variables.

Step-by-step explanation:

We have to tell that which of the following can be an exact number.

This can be done with the approach of discrete and continuous variables.

Discrete variables are the variables that are countable and cannot be expressed in decimal form. They are point estimated.

Continuous variable are the variable that are estimated with the help of an interval. Their values can be expressed with the help of a decimal expansion. They are not countable.

a) Mass of a paper clip, Surface are of dime, Inches in a mile, Ounces in pound, microseconds in a week

Since all mass, area, weight(ounces), time, length(inches) are continuous variable, they can be estimated with the help of an interval. Thus, they can have exact number but not always.

b) Number of pages in a worksheet

Since this is a discrete quantity and it is countable. Thus, it will always have a point estimation and are exact numbers always.

4 0
3 years ago
If a humpback whale swam 16.8 miles per hour dor 4.5 hours how far did it swim
fredd [130]

Answer:

easy, it traveled/swam 75.6 miles

Step-by-step explanation:

16.8 x 4.5= 75.6

hope this helps

8 0
3 years ago
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