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
Answer: the constant of proportionality is x
Step-by-step explanation:
<u>Given</u>:
Given that the surface area of the cone is 54 square inches.
We need to determine the surface area of the cone that is similar to the cone three times large.
<u>Surface area of the similar cone:</u>
Let us determine the surface area of the similar cone.
The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.
Thus, we have;


Thus, the surface area of the similar cone is 162 square inches.
Answer:
81, tens place is 8 ,unit's pkace is 1, so 8>1, that satisfies.
We have an equation: (5+b)/2= 5
⇒ 5+b= 5*2
⇒ 5+b= 10
⇒ b= 10-5
⇒ b= 5
Final answer: b=5~