Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
Answer:
Step-by-step explanation:
150 - 80 equals 70
70:80 = 7:8
please give me brainliest, I'm going to cry if you don't >:(
So the best and correct answer is C because this is how you do it The surface area of the cone has formula
pi * radius * ( radius + sqrt ( height^2 + radius^2)) =
pi * radius^2 + pi * radius * sqrt( height^2 + radius^2)
However, this includes the base of the cone and the hats do NOT have
that. "The hats are shaped like a cone with NO BASE", says the 3rd sentence.
So the formula becomes pi * radius * sqrt( height^2 + radius^2)
diameter = 16
radius = 8
height = 9
The surface area of ONE of the hats is pi * 8 * sqrt( 9^2 + 8^2)
= pi * 8 * sqrt( 81+64)
= pi * 8 * sqrt(145)
302.63828053.....
21 of them is 21 * 302... = 6355.40689112841343251026086.....
Answer:
$ 0.34 or 34 cents
Step-by-step explanation:
Bill amount = $31.18
sales tax = 6% of $31.18
= 0.06 ($31.18)
= $1.8708
Bill with tax = $31.18+$1.8708
= $33.0508
value of tip = 20% of 33.0508
= 6.61016
Total payment = 33.0508+ 6.61016
= $39.66096
or $39.66
We get change of $40 - $39.66
= $ 0.34
We shall get back in cents that will be 34 cents
Answer:
Step-by-step explanation:
Parallel lines have the same slope
The slope of the line shown is
Therefore, the slope of the parallel line will also be
