1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reika [66]
2 years ago
5

Which of the following is the solution to the following system of inequalities?

Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0

Answer:

D

Step-by-step explanation:

for example point (2,0) is one of the solutions.

=> x + 2y <4

2+ 2(0) = 2 => 2< 4 (true)

=> 3x – y > 2

3(2)-0= 6 => 6>2 (true)

so, the option D is the correct one

stiks02 [169]2 years ago
4 0

Answer: yup

Step-by-step explanation:

Great explanation

You might be interested in
On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry
prohojiy [21]
D 28 miles you want to multiply by 4 so 7x4 =28
3 0
3 years ago
Make up your own problem and solve it
Gennadij [26K]

Answer:

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
How much its 5+3+3×15=
AveGali [126]
=5 + 3 + 3 * 15
do multiplication first
=5 + 3 + 45
=8 + 45
=53

ANSWER: 53

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Write the equation of a line that safely lands the plane. *See image*
Bezzdna [24]

Answer:

10-5 5-10 2 1/2-13

Step-by-step explanation:

it is a strait line :D

4 0
3 years ago
Read 2 more answers
Which of the following is not one of the 8th roots of unity?
Anika [276]

Answer:

1+i

Step-by-step explanation:

To find the 8th roots of unity, you have to find the trigonometric form of unity.

1.  Since z=1=1+0\cdot i, then

Rez=1,\\ \\Im z=0

and

|z|=\sqrt{1^2+0^2}=1,\\ \\\\\cos\varphi =\dfrac{Rez}{|z|}=\dfrac{1}{1}=1,\\ \\\sin\varphi =\dfrac{Imz}{|z|}=\dfrac{0}{1}=0.

This gives you \varphi=0.

Thus,

z=1\cdot(\cos 0+i\sin 0).

2. The 8th roots can be calculated using following formula:

\sqrt[8]{z}=\{\sqrt[8]{|z|} (\cos\dfrac{\varphi+2\pi k}{8}+i\sin \dfrac{\varphi+2\pi k}{8}), k=0,\ 1,\dots,7\}.

Now

at k=0,  z_0=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 0}{8}+i\sin \dfrac{0+2\pi \cdot 0}{8})=1\cdot (1+0\cdot i)=1;

at k=1,  z_1=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 1}{8}+i\sin \dfrac{0+2\pi \cdot 1}{8})=1\cdot (\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2})=\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2};

at k=2,  z_2=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 2}{8}+i\sin \dfrac{0+2\pi \cdot 2}{8})=1\cdot (0+1\cdot i)=i;

at k=3,  z_3=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 3}{8}+i\sin \dfrac{0+2\pi \cdot 3}{8})=1\cdot (-\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2})=-\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2};

at k=4,  z_4=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 4}{8}+i\sin \dfrac{0+2\pi \cdot 4}{8})=1\cdot (-1+0\cdot i)=-1;

at k=5,  z_5=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 5}{8}+i\sin \dfrac{0+2\pi \cdot 5}{8})=1\cdot (-\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2})=-\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2};

at k=6,  z_6=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 6}{8}+i\sin \dfrac{0+2\pi \cdot 6}{8})=1\cdot (0-1\cdot i)=-i;

at k=7,  z_7=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 7}{8}+i\sin \dfrac{0+2\pi \cdot 7}{8})=1\cdot (\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2})=\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2};

The 8th roots are

\{1,\ \dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2},\ i, -\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2},\ -1, -\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2},\ -i,\ \dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2}\}.

Option C is icncorrect.

5 0
3 years ago
Other questions:
  • Robin puts 5/8 cups of water into her recipe. Noel puts 1/3 the amount of water that Robin puts in her recipe. How much water do
    10·1 answer
  • Consider a six-sided die that is loaded so that numbers 2, 3, 4, 5 and 6 are all equally likely to appear, and 1 is three times
    13·1 answer
  • Vita has a piece of ribbon that is 5 meters long she cuts the ribbon into pieces that are each 1/3 meters long how many pieces d
    5·2 answers
  • There are 45 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished th
    14·2 answers
  • ABCD is a rectangle on a coordinate grid with side AB parallel to side CD and side BC parallel to side AD. The slope of side AB
    15·2 answers
  • Based on a poll, 69% of internet users are more careful about personal information when using a public Wi-Fi hotspot.
    8·1 answer
  • OMG PLEASEEE HELP ME!!
    6·1 answer
  • Identify the zero of the function by factoring<br> 12x²-3x=0
    15·2 answers
  • Please help me (using trigonometry to find angle measures)
    11·1 answer
  • Fill in the blank to make equivalent rational expressions.<br> 2/y^2=_/3y^5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!