Answer:
Hello
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. Therefore,
Angle XYZ + angle MYZ = 180
Angle XYZ + 115 = 180
Angle XYZ = 180 - 115 = 65 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle XZY + angle YXZ + angle MYZ = 180
Therefore,
4k + 5 + 6k + 10 + 65 = 180
4k + 6k + 5 + 10 + 65 = 180
10k + 80 = 180
10k = 180 - 80 = 100
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10k/10 = 100/10
k = 10
Answer:
Hence, the graph is decreasing in the interval: –4 ≤ x ≤ 2 ( option: B is correct)
Step-by-step explanation:
We have to define the interval in which the graph of the given function is decreasing.
Clearly by looking at the graph we could see that the graph is first increasing till x<-4.
and then it decreases in the interval [-4,2] since the value of y changes from y=9 at x= -4 to y= -9 at x=2.
also after x=2 the graph increases till x=6 and after x=6 the graph is constant i.e. the graph is represented by the line:
y=5 in the interval x≥6.
Hence, the graph is decreasing in the interval:
–4 ≤ x ≤ 2 ( option: B is correct)
Answer:
7 and 3/5
Step-by-step explanation:
3 and 4/5 times 2 is 7 and 3/5
With the given in this item, the best way to solve for the distance between the planes is through the cosine law which can be mathematically expressed as,
c² = b² + a² - 2ab(cosC)
Substituting the given,
c² = (176.27 mi)² + (222.34 mi)² - 2(176.27 mi)(222.34 mi)(cos 38.59°)
c = 138.71 mi
Thus, the distance between the two planes is approximately 138.71 miles.