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mixas84 [53]
3 years ago
11

(5a + a2 - 14) (10a + a2 + 39)

Mathematics
1 answer:
yan [13]3 years ago
8 0
15a+a4+25 is the answer
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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
3 years ago
Find the value of x in the isosceles triangle shown below. WILL MARK BRAINLIEST
Tresset [83]

Answer:

from now on don't ask same qn two times or more it would be waste of your points

got it??

6 0
3 years ago
What is 10% of 1/4 please help and explain
makvit [3.9K]
10/100=0.1
1/4=0.25
0.1*0.25=0.025
5 0
2 years ago
Read 2 more answers
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
Phantasy [73]

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: ( − ∞ , ∞ ) , { x | x ∈ R }

Range: ( − ∞ , 16 ] , { y | y ≤ 16 }

3 0
2 years ago
I am in need of help
kvv77 [185]
CAD= BAD
AD=AD( the same side of two angles).
8 0
2 years ago
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