All categories

3 years ago

Hello please solve my question I need help figuring it out. Any links will be reported. Thank you!

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

Answer:

D is true

Step-by-step explanation:

Hope it helps!

You might be interested in

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

5 0

3 years ago

How do you graph a linear function to a line graph

anygoal [31]

Answer:

use point slope form

y=mx+b

8 0

4 years ago

Solve the quadratic equation 3x² + 2x-4=0<br> Give your answers to 2 decimal places.

GalinKa [24]

3x² + 2x - 4 = 0

Δ = b² - 4.a.c

Δ = 2² - 4 . 3 . -4

Δ = 4 - 4. 3 . -4

Δ = 52

x = (-b +- √Δ)/2a

x' = (-2 + √52)/2.3

x'' = (-2 - √52)/2.3

x' = 0,8685170918213297

x'' = -1,5351837584879966

2 Decimal places

x' = 0,87

x'' = -1,54

6 0

3 years ago

Read 2 more answers

Write your own story problem using mixed numbers. show the solution

Gala2k [10]

Leah is baking a cake. The cake needs 1 2/8 of flour and 4 6/8 of sugar. Add the ingredients together. The answer is 4

3 0

3 years ago

Mr. Miller's sixth-grade class went on a field trip to hear the symphony perform. Their seats were grouped in the following ways

ch4aika [34]

2x3
3x4
4x2
+1
= 6+12+8+1
= 27 students

6 0

3 years ago