Answer:
k = - 6
Step-by-step explanation:
Since (x - 2) is a factor then x = 2 is a root
Substitute x = 2 into the polynomial and equate to zero, that is
2³ + k(2)² + 12(2) - 8 = 0
8 + 4k + 24 - 8 = 0
4k + 24 = 0 ( subtract 24 from both sides )
4k = - 24 ( divide both sides by 4 )
k = - 6
Answer:
15 hours
Step-by-step explanation:
9 lawns is 3 times as much as 3 lawns
it will take 3 times as long
3 * 5 hours = 15 hours
Simplify each side in order to determine if true.
the answer is: False
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Option C: 90° is the value of x.
Explanation:
The given expression is 
for 
We need to solve the expression.
Thus, we have,
Subtracting both sides by 4, we have,
Adding both sides by 8 sin x, we get,
Dividing both sides by 10, we have,
Taking 
on both sides of the equation, we get,
Thus, the value of x is 90°
Hence, Option C is the correct answer.
