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3 years ago

12

Can someone help me with this question.

1 answer:

Digiron [165]3 years ago

4 0

Answer:

C

Step-by-step explanation:

A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.

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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

4 years ago

X less than -1 on number line

Sedaia [141]

I think if I do this correctly, the answer is x<-1

7 0

3 years ago

Please help me ASAP!!!!! <br><br> Will give brainliest, thanks, and vote

rewona [7]

12-A
13-C

Hopefully this helps

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3 years ago

Engines make up 25% of Denise's collection of 12 miniature train engines and boxcars. After Denise added new engines,her collect

iragen [17]

12 * .25= 3 engines. 12 *.50= 6 engines. She added 3 more engines.

7 0

3 years ago

Factorise n^2 -2n -120

lions [1.4K]

Answer:

(n-12)(n+10)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers