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Paha777 [63]
3 years ago
8

Does a=4 solve the equation 5a-3=17?

Mathematics
2 answers:
prisoha [69]3 years ago
4 0

Answer:

Sim

Step-by-step explanation:

5a-3=17

(5*4)-3=17

20-3=17

17=17

Nataly_w [17]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

20-3=17

17=17

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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
Isabel, Lucas, and Aiden had a challenge to see who could bike the farthest in one day. Isabel biked 6 miles, Lucas biked 4 time
bagirrra123 [75]

Answer: Lucas biked 96 miles.

Step-by-step explanation:

So, to get the anwser you need to first multiply Isabel’s miles by 4 to get Aiden’s miles so 6 x 4 = 24 miles so next you need to multiply aidens miles by 4 to get how many miles lucas biked which is 96 miles.

8 0
2 years ago
Read 2 more answers
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = -2/3 (x – 10). What is the
SOVA2 [1]
I believe the answer is 2x+2y= 20-21 or 2x+2y= -1. Think about Standard Form= Ax+By= C

5 0
3 years ago
The annual expenditure of the US federal government is approximately 4 44 trillion dollars. If a one dollar bill is 0 . 0 0 0 1
kaheart [24]

Answer:

<em>A stack of 4 trillion one dollar bills will be  4\times 10^8 meters.</em>

Step-by-step explanation:

The annual expenditure of the US federal government is approximately 4 trillion dollars.

We know,  1 trillion dollars = 10¹² dollars.

So,  4 trillion dollars =(4\times 10^1^2) dollars.

Each one dollar bill is 0.0001 meters thick.

So, the total height of the stack of 4 trillion one dollar bills will be.....

[0.0001\times(4\times 10^1^2)]meters\\ \\ =[10^-^4\times(4\times 10^1^2)]meters\\ \\ =(4\times 10^8) meters


6 0
3 years ago
Qual a resposta dessa expressão numérica? 3-10³-3.10².2².1²
Len [333]
I don't understand your language and I don't know which language is this but I try to answer your question. 3-1000-3*100*4*1 3-1000-1200 3-2200 =-2197
6 0
3 years ago
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