Step-by-step explanation:
Complex roots or imaginary roots must come in conjugate pairs. If -4i is a root, that means 4i is also a root.
A possible polynomial is:
y = (x + 4i) (x − 4i)
y = x² − 16i²
y = x² + 16
Answer:
z = -5
Step-by-step explanation:
add 9z to both side giving you ---> 18z+93 = 3
now subtract 93 from both sides ---> 18z = -90
now divide 18 by both sides and get your z
Answer:
32 acres
Step-by-step explanation:
The median of an even-length set of numbers is the average of the middle two numbers when they are sorted into order. Here, the numbers are already in order, so the median is the average of the middle two:
(30 acres + 34 acres)/2 = (64 acres)/2 = 32 acres
Answer:
The height of the telephone pole is of 408 inches = 34 ft.
Step-by-step explanation:
Each foot has 12 inches.
A 36 inch post cast a shadow of 24 inches.
This means that the shadow is of the real height.
At the same time a telephone pole cast a shadow of 22 ft 8 in.
Each feet has 12 inches, so it has:
22*12 + 8 = 272 in.
2/3 of the real height is 272 in. So
The height of the telephone pole is of 408 inches = 34 ft.
Answer:
25 meters
Step-by-step explanation:
30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)
30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second
30 km/hr = 8.3333333333 m/s (approximate)
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The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,
distance = rate*time
d = r*t
d = 8.3333333333 * 3
d = 24.9999999999
Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.