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Answer:
Solutions: x = +\- 5i or x = +\- sqrt(5)
Discussion:
Factor x^4 - 25:
x^4 - 25 = (x^2+5) (x^2-5) => factor x^2 - 5
x^4 - 25 = (x^2+5)(x + sqrt(5)) (x - sqrt(5)) => factor x^2 + 5
x^4 = 25 = (x +5i)(x-5i) (x + sqrt(5)) (x - sqrt(5))
Hence the solutions are
x = +\- 5i and x = +\- sqrt(5)
Thank you,
MrB
Answer:
22
Step-by-step explanation:
We know that AC = 2 * AB so we can write:
12x - 4 = 2(5/2 x + 12)
12x - 4 = 5x + 24
7x = 28
x = 4
Since AB = BC the answer is 5/2 * 4 + 12 = 22.
Answer:
$39.36
Step-by-step explanation:
Since its 20% off that means we still have a remaining 80% so first multiply 0.8 to the 82
82x0.8= 65.6
Since there is a additional 40% off multiply by 0.4 to get the discount amount
65.6x0.4= 26.24
Subtract the discount from the price
65.6-26.24= 39.36
Answer:

Step-by-step explanation:
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Speed is the ditance traveled by a certain object given a certain time span. To solve this problem we need to divide the distance by the time given. Before that, the problem asked us to get the speed in terms of miles per minute and we are given a distance of 3 kilometer. We have to convert this to miles. 3km(0.6miles/km) = 1.8 miles. The speed is then 1.8/20 = 0.09mi/min.