Answer: 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
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The mathematical expression that represents the given statement is 4/(7-x)
<h3>Writing an Expression </h3>
From the question, we are to write a mathematical expression for the given statement
The given statement is
"4 is divided by the difference of 7 and a number."
First,
Let the number be x
"the difference of 7 and a number" means
7 - x
Thus,
"4 is divided by the difference of 7 and a number" is
4/(7-x)
Hence, the mathematical expression that represents the given statement is 4/(7-x)
Learn more on Writing and Expression here: brainly.com/question/4681624
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Answer:
he spent $0.15 on each pencil
Step-by-step explanation:
12x4= 48, which is the exact amount of pencils he bought, and then divide them by the price
7.20 divided by 48 is 0.15.
Therefore, each pencil is 0.15 cents a piece
