Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
Answer:
The approximated height of the tree is of 112 meters.
Step-by-step explanation:
The height of a tree with a base diameter of d meters is approximated by the following formula:
In this question:
Base diameter of 3.2m, so 
, and the height is in meters.
The approximated height of the tree is of 112 meters.
Answer: 15
Step-by-step explanation:
Answer:B
Step-by-step explanation: Alternate exterior angles theorem
The answer to your question is D
