3 years ago

Plot the complex number 5i and find its absolute value

1 answer:

4 0

Check the picture below.

$\bf 5i\implies \stackrel{a}{0}~~\stackrel{b}{+5}i\implies \stackrel{\stackrel{absolute~value}{modulus}}{r=\sqrt{a^2+b^2}}\implies r=\sqrt{0^2+5^2}\implies r=5$

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%20%5Cdiv%202%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B2%20%7D%20" id="TexForm

NeX [460]

Answer:

$\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given

$\frac{\sqrt{2} }{2}$ + $\frac{2}{\sqrt{2} }$ ← rationalise the denominator by multiplying by $\frac{\sqrt{2} }{\sqrt{2} }$

= $\frac{\sqrt{2} }{2}$ + ( $\frac{2}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ )

= $\frac{\sqrt{2} }{2}$ + $\frac{2\sqrt{2} }{2}$

= $\frac{3\sqrt{2} }{2}$

5 0

3 years ago

Which statement describes the behavior of the function f (x) = 3x/4-x

Luba_88 [7]

The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

The behavior of the graph is presented by the function;

f(x)= 3x/4-x

Forming a table to see the behavior,

x f(x)

1 1

2 3

3 9

4 infinity

5 -15

6 -9

7 -7

8 -6

This shows that as value of x approaches positive infinity, the value of f(x) approaches 0.

Learn More

Functions :brainly.com/question/11275875

Keywords : statements, behavior, function, graph

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

While looking at some reports, a store manager notes that sets of bunk beds that retail for

Anvisha [2.4K]

Should be 7.5% I have to add more words to this sentence to post it

5 0

1 year ago

The function g(x)=(x-2)^2. The function f(x)=g(x)+3.

irina [24]

Answer:

1: G=x^2-4x+4/x

2:f=gx+3/x

8 0

3 years ago

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Need help on this one please

Archy [21]

The answer is A because there are only acute angles

3 0

3 years ago