Answer:
d) 4 ± 5i
Step-by-step explanation:
Here we have to use the quadratic formula.
x = 
In the given equation x^2 - 8x + 41 = 0, a =1, b = -8 and c = 41
Now plug in the given values in the above formula, we get
x = 
Simplifying the above, we get
x = 
x = 
[√-100 = √-1 *√100 = i*10 = 10i] because the value of √-1 = i]
x = (8 ± 10i )/2
Now dividing by 2, we get
x = 4 ± 5i
The answer is d) 4 ± 5i
Hope you will understand the concept.
Thank you.
<h3>given:</h3>
radius= 4 cm
<h3>to find:</h3>
the area and the diameter of the circle.
<h3>solution:</h3><h3>diameter:</h3>



<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>diameter</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>8</u><u> </u><u>centimeters</u><u>.</u>
<h3>area:</h3>




<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>circle</u><u> </u><u>is</u><u> </u><u>50.27</u><u> </u><u>square</u><u> </u><u>centimeters</u><u>.</u>
Answer:
in between the ones and the tenths place
Step-by-step explanation:
so it would be in the ones place
Answer:
Minimum number of voters for the democratic candidate would be 3120 voters.
Step-by-step explanation:
Total number of people turning out to vote = 12,000
Percentage of votes a democratic would get = 30%
Which means that it is expected that a democratic candidate will get: 30/100 · 12,000 = 3600 votes
However, the polling may have an error of +4% to -4%
Which means that the votes a democratic candidate will get will range from 30%+4% = 34% to 30%-4%= 26% of the total people who turn out to vote
Minimum number of voters can be determined by taking 26% of the total people who turn out to vote:
Minimum number of votes = 26/100 · 12,000 = 3120