Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
If you add everything up then
14x-2=180
14x=182
x= 13
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
The probability that will not rain today is: 85%
100% - 15% = 85%
The correct answer is A
Answer:
The scale factor is 2.
Step-by-step explanation:
Divide 2 by 1 then you get 2. I got the 2 and the one from the shapes. So don’t get confused ;)
Answer:
Step-by-step explanation:
When you have a number (17) and want to know some fraction (2/5) of that number, you should multiply the number by the fraction.
17 * (2/5)
= (17*2)/5
= 34/5
= 6.8
You can then round this number up --> about 7 cars.
