Answer:
It is moved 8 units left and 5 units down
y =
- 5
So vertical translation 5 units down and horizontal translation 8 units left
Answer:
- modulus: 3√2
- argument: -3π/4 (or 5π/4)
Step-by-step explanation:
The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).
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<h3>rectangular form</h3>
The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:

<h3>polar form</h3>
The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:
modulus = √((-3)² +(-3)²) = 3√2
The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.
arg = arctan(-3/-3) = -3π/4 or 5π/4 . . . . radians
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modulus∠argument = (3√2)∠(-3π/4)
Answer:
You'll have to multiply 9x12x8x4x5 which is equal to 17,280
Answer:
He spent $30.54
Step-by-step explanation:
$4.45+$16.30=$20.75
$20.75 times 1.0865=$22.544875 rounded to 2 d.p. = $22.54
$22.54+$8=$30.54
Write and solve an equation of ratios:
6 inches 1 inch
-------------- = ------------
60 inches x
Cross-multiplying, 6x = 60, so x = 10 inches (answer)