Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
Answer: D,(11,61,62)
Step-by-step explanation:28,45,53
53²=28²+45²
2,809= 784+2,025
= 2,809
53²=2,809
(28,45,53) is a Pythagorean triple
16,63,65
65²=16²+63²
4225=256+3969
= 4225
65²=4225
(16,63,65) is a Pythagorean triple
13,84,85
85²=13²+84²
7225=169+7056
=7225
85²=7225
(13,84,85) is a Pythagorean triple
11,61,62
62²=11²+61²
3,844=121+3,721
=3,842
62²=3,844
(11,61,62) is not a Pythagorean triple
D=61d+30d=91d,
S=300+30d
S<D
300+30d<91d
300<61d
d>4.91 Since days are integers,
The skier would have to go at least 5 days to make the season pass less expensive than using the daily pass.
To solve this we need to use Pythagorean theorem
Answer: x≈6.4
<span>(5, 0) and (5, -2) are the two points that are on the line x=5. This is some basic math.
Hope it helps :)</span>
