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EastWind [94]
3 years ago
15

Find the complex conjugate of the given number -1+4i

Mathematics
1 answer:
adell [148]3 years ago
3 0
With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.
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Order of operations could someone please help me with this question? because i don't know how to completely work it out
malfutka [58]

Answer:

-15

Step-by-step explanation:

so to start you must distribute negative two times negative two equals positive four,

so now your equation looks like this,

2^2 +4+4-3^3

then you need to do the exponents,

2 x 2 = 4

3 x 3 x 3 =27

now it looks like this

4+4+4-27

12 - 27

-15

Hope that helps!

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What is the missing statement in step 6? <br> H<br> E <br> L <br> P<br> : ‘ )
lisov135 [29]
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3 years ago
What is h(x)=4x+1 if the value of h is (-3)
Reil [10]

Step-by-step explanation:

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Substitute x= -3 into function,

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5 0
3 years ago
Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
3 years ago
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Effectus [21]

Answer:

15 degrees

Step-by-step explanation:

To answer this, divide 360 degrees by 24 sides.

You'll get 15 degrees.

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3 years ago
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