x³ - 3x² + 4x - 2
complex roots occur in conjugate pairs
1 + i is a root then so is 1 - i
the factors of the polynomial are therefore
f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))
= (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )
= x³ - 3x² + 4x - 2
Answer:
c
Step-by-step explanation:
it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11
(B) the square root of 180 is 13.42 which is between 13&14
(c) the square root of 12 is 3.46 which is not between 4&5
Answer:
189
Step-by-step explanation:
Answer:
as a vertical line that passes through (-1,0)
Step-by-step explanation:
this line doesn't have a slope nor y-intercept and is parallel to the y-axis. its x-intercept should be (-1,0) and it should continue in both vertical directions from that point, passing through each coordinate pair where x = -1 [(-1,3); (-1,-5); etc]
Answer:
406.08
Step-by-step explanation:
First FInd the area of the rectangle : which is short side * long side
-> 15*12=180m
Then find the area of the half circle, the formula of the area of a circle is 
here it's half a circle so it's 
where r is 12
-> 
Finally just add the area of the rectangle with the area of the half circle
-> 
