0
The modulus is 5sqrt2
It lies in quadrant 4
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What is true about the complex number -5-5i?
That 5 is a factor.
How do you subtract imaginary numbers?
When adding and subtracting complex numbers, you can treat the "i" as any variable. For example, 5i + 3i = 8i, 5i -3i = 2i, etc.; (2 + 5i) - (3 - 3i) = (2 - 3) + (5 + 3)i = -1 + 8i.
How do you express a complex number like 5 plus 5i in polar form?
Polar form = re^i(angle) r=(4+4)^.5 angle=atan(2/2) PF = (8)^.5*e^atan(1) pf = 2.83e^.7854i
Can you graph a complex number?
Yes, a complex number can be graphed on a two-dimensional plane known as the complex plane. The real part of the complex number corresponds to the x-axis, while the imaginary part corresponds to the y-axis. The complex number is represented by a point in the complex plane, with its coordinates being the real and imaginary parts. The distance of the point from the origin represents the magnitude of the complex number.
Plot the number in a complex plane -1-3i?
2
What is true about the complex number -5-5i?
That 5 is a factor.
Complex conjugate of 5i?
0 + 5i Its complex conjugate is 0 - 5i
What is the usefulness of the conjugate and its effect on other complex numbers?
The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector. The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number. e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i
What are 10 complex numbers with the absolute value of 5?
Use the Pythagorean theorem. 5, -5, 5i, and -5i will work, as well as any combination of a real and imaginary number such that (real part) squared + (imaginary part) squared = 25, for example, 4 + 3i, 3 + 4i, 4 - 3i, etc.
What do you call the number that multiplies the variable i?
In the number: 5i, 5 is called the coefficient of i.
How do you solve 2 divided by 5i?
0.4
How do you subtract imaginary numbers?
When adding and subtracting complex numbers, you can treat the "i" as any variable. For example, 5i + 3i = 8i, 5i -3i = 2i, etc.; (2 + 5i) - (3 - 3i) = (2 - 3) + (5 + 3)i = -1 + 8i.
What are the square roots of 25?
5, -5, 5i, -5i, 5i^2, and many others... If you're asking this question, chances are it is either 5 or negative 5.
What are the cube roots of 1000i?
5√3 + 5i, -5√3 + 5i, -10i
How do you express a complex number like 5 plus 5i in polar form?
Polar form = re^i(angle) r=(4+4)^.5 angle=atan(2/2) PF = (8)^.5*e^atan(1) pf = 2.83e^.7854i
What is the root of -25?
5i
What is 1 divided by 2 plus 5i in the form a plus bi?
1/(2 + 5i) (multiply both the numerator and the denominator by 2 - 5i)= 1(2 - 5i)/(2 + 5i)(2 - 5i)= (2 - 5i)/(4 - 25i2) (substitute -1 for i2)= (2 - 5i)/(4 + 25)= (2 - 5i)/29= 2/29 - (5/29)i
