What is the quotient of these complex numbers?

(8-6i)/(3-i)

z = 6i / (4+3i)

Step-by-step explanation: Rectangular form:

z = 0.72+0.96i

Angle notation (phasor):

z = 1.2 ∠ 53°7'48″

Polar form:

z = 1.2 × (cos 53°7'48″ + i sin 53°7'48″)

Exponential form:

z = 1.2 × ei 0.2951672

Polar coordinates:

r = |z| = 1.2  magnitude (modulus, absolute value)

θ = arg z = 53.1301° = 53°7'48″ = 0.2951672π  angle (argument or phase)

Cartesian coordinates:

Cartesian form of imaginary number: z = 0.72+0.96i

Real part: x = Re z = 0.72

Imaginary part: y = Im z = 0.96

Hope this helps!

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~Jarvis

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)