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
Ken drew a pair of intersecting rays and marked the angle between them. . . Which of these statements best compares the pair of intersecting rays with the<span>angle</span> I'd say c because the common endpoint is the intersection.
Answer: it's obtuse. Yep
Step-by-step explanation:
Answer:
47
Step-by-step explanation:
The probability for tails to land is 1/2 when you flip 1 coin.
When you flip 94 times, 1/2 × 94
= 47
We are given radius = 6 yards
area of circle = pi * r * r = 3.14 * 6*6 = 113.04 yard square
cost of carpet is $14 per square yard
cost of 113.04 square yard = 14*113.04= 1582.56 dollars
Answer: cost to carpet the planetarium is $1582.56
