Can Someone please help me on all four of these.

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

1st one is x > 1
2nd one is x < -4
3rd one is x < 70
4th one is x > -2

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Solve using demoivres theorem

pashok25 [27]

It's difficult to make out, but I think the task is to expand

$(\sqrt3-i)^4$

Write the number in polar form first:

$\sqrt3-i=2e^{-i\pi/6}$

By DeMoivre's theorem, you have

$(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}$

and converting back to Cartesian form, this number is equivalent to

$16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)$

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3 years ago

Given the function f(x)=1/2x+8 find x so that, f(x)=10<br><br> please help im stumped

Crank

Step-by-step explanation:

plug y value :

10=1/2x+8

1/2x=2

x=4

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2 years ago

In which place is the digit in the number 5,341 that would be changed to form 5,841? How do the values of the two numbers compar

Colt1911 [192]

We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.

Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8 to form the number 5,841.

This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.

Subtraction of 5,341 from 5,841 also yields 500.

Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.

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3 years ago

The area of a circle is 144 π cm2 what is the diameter of the circle

never [62]

Step-by-step explanation:

Area = pi × r²

144 pi cm² = pi × r²

144 pi ÷ pi = r 2

root 144 = r

12 cm = r

diameter = 2r = 2(12) = 24 cm

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3 years ago

What is the equation of the given graph

Keith_Richards [23]

Answer:

D) y=1/2x-3

Step-by-step explanation:

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3 years ago