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
About 90ft
step-by-step explanation: 1/2 (a+b) x h is area of trapezoid. So that would be 40
then area of circle is pi x radius squared. So that is 50.24 roughly.
so 50+40=90
and yeah
hope this helped :))
Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2
You can look up cymath.com it will work the problem out for you and show you the steps.
Answer:
Area of A = 32ft
Area of B = 36ft
Step-by-step explanation:
All you need to do to solve is multiply width * length * height.
If you do so,
Area of A = 3 * 2 * 5 1/3
= 6 * 16/3
= 32
Area of B = 6 * 4 * 1 1/2
= 24 * 3/2
= 36
Hope this helps!!
Let me know if I'm wrong or you need help in any other problem!!
