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3 years ago

What is the argument of -4+4i

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

the agrument of any complex number is defined as its angle.

if a complex number be Z=a+ib then the agrument of Z is given by,

Agr|Z|=A

where, tanA=b/a i.e. A=tan^-1(b/a)

by the question,

a=-4 and b=4

so A= tan^-1(4/-4)= tan^-1(-1)=135°

therefore the agrument of -4+4i is 135°

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The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo

Kaylis [27]

The rule for g(x) is: $f(x) = (x-3)^2-3$

Step-by-step explanation:

Given function is:

$f(x) = x^2$

When a function f(x) is shifted right or left, b units the new function is written as:

$f(x) = x$

Shifting right

$g(x) = f(x-b)$

Shifting left

$g(x) = f(x+b)$

Similarly, when shifting up or down

$g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down$

As our given function is shifted 3 units to the right, it will be written as:

$f(x) = (x-3)^2$

The function is when moved down 3 units, then

$f(x) = (x-3)^2-3$

Hence

The rule for g(x) is: $f(x) = (x-3)^2-3$

Keywords: Function transformation, Functions

Learn more about functions at:

#LearnwithBrainly

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4 years ago

I need help i'm really still confused on the Tan thing in algebra

AysviL [449]

Answer:6/8

Step-by-step explanation:

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3 years ago

Read 2 more answers

A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full c

ehidna [41]

Answer:

y = 5.5x – 17

Step-by-step explanation:

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3 years ago

What happens to the Law of Cosines if the known angle is 90 degrees?

poizon [28]

Answer:

See below.

Step-by-step explanation:

It transforms to the Pythagoras theorem.

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4 years ago

One number is 16 less than 4 times the second number. Their sum is 29. Find the numbers.

aleksklad [387]

Answer:

20,9

Step-by-step explanation:

this is how I did=x=1st, y=2nd; x=4y-16 and x+y=29; thus 4y-16+y=29; 5y-16=29; 5y=45; y=45/5=9, once you know y=9, put in equation, 4y-16=×, (4*9)-16=x, 36-16=x, 20=x

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3 years ago