Given that
z₁ = 15 (cos(90°) + i sin(90°))
z₂ = 3 (cos(10°) + i sin(80°))
we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:
z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))
z₁/z₂ = 5 (cos(80°) + i sin(80°))
so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.
Answer:
2z(4z^2+1)(2z+1)(2z-1)
Step-by-step explanation:
here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.
hope this helps!
Answer:
Car: 18.4% Other: 4.9%
Step-by-step explanation:
Glenn family yearly total expenses are
Other expenses are $7,000.
The payments for the new car are: $375.00 per month and the insurance for the new car $85.00 per month, in total, $460 per month. Yearly expenses for car are
Now, the expenses for the following two categories are
Car - $5,520
Other - $7,000 - $5,520 = $1,480
Percentage:
Car:
Other
<span><span>1/10=10%
</span><span>2/10=20%
</span><span>3/10=30%
</span><span>4/10=<span>40%
does this help</span></span></span>
