9514 1404 393
Answer:
0 = x⁴ -x³ -9x² -11x -4
Step-by-step explanation:
Each root r contributes a factor of (x-r). The factored form of the polynomial of interest is ...
0 = (x +1)³(x -4)
0 = (x³ +3x² +3x +1)(x -4)
0 = x⁴ -x³ -9x² -11x -4
Answer: the area of the shaded region is 5x² + 28x + 23
Step-by-step explanation:
The formula for determining the area of the rectangle is expressed as
Area = length × width
The area of the smaller rectangle is
(x - 3)(x - 1)
We would apply the distributive property by multiplying each term in one bracket by each term in the other bracket. It becomes
x² - x - 3x + 1
x² - 4x + 1
The area of the bigger rectangle is
(3x + 6)(2x + 4)
6x² + 12x + 12x + 24
6x² + 24x + 24
The area of the shaded region would be
6x² + 24x + 24 - (x² - 4x + 1)
6x² + 24x + 24 - x² + 4x - 1
6x² - x² + 24x + 4x + 24 - 1
5x² + 28x + 23
Answer:
A=45
B=110
Step-by-step explanation:
Interior angles of a triangle add up to 180.
So, do 180-25=155.
Then, 155-65=90.
90 divided by 2 is 45.
x=45 so B is 45+65, which is 110.
Answer:
8482.3 inches
Step-by-step explanation:
You have to find the circumference of the wheel.
If the radius is 13.5, the diameter is 27 (13.5 x 2).
C = πd
C = π × 27
C = 27π
100 rotations means 27π × 100 = 2700π
= 8482.3 inches