By similar triangles...
p/27=4/3
p=36ft
Answer:
7.5 < x < 8
Step-by-step explanation:
since the domain of a function is the value it can take as an argument except 0, then f(x) = 7.7.
Considering that it is allowed to repeat the digits in the three-digit code, we have,
10 x 10 x 10 ways
which is equal to 1000 ways.
For the scenario that only even numbers without repetition can be included, we have,
5 x 3 x 1 ways
which is equal to 15 ways.
The probability is therefore 15/1000 or 3/200.
Are there any answer choices or do you have to put in an answer?
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
